* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 14 additional inputs, on iter 1 have 242 / 256 * * * * [misc]points: Computing exacts for 14 points * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 2 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Setting MPFR precision to 1088 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 259 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 48 inf + 0 * * [misc]simplify: Extracting #2: cost 105 inf + 1 * * [misc]simplify: Extracting #3: cost 174 inf + 73 * * [misc]simplify: Extracting #4: cost 218 inf + 380 * * [misc]simplify: Extracting #5: cost 177 inf + 7107 * * [misc]simplify: Extracting #6: cost 49 inf + 41549 * * [misc]simplify: Extracting #7: cost 4 inf + 57872 * * [misc]simplify: Extracting #8: cost 0 inf + 60384 * [exit]simplify: Simplified to (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (+ m n) K) 2) M)) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (+ m n) K) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (+ m n) K) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in M * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* (+ m n) K) into (* K (+ m n)) * [misc]backup-simplify: Simplify (/ (* K (+ m n)) 2) into (* 1/2 (* K (+ m n))) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* K (+ m n))) 0) into (+ (* 1/2 (* K n)) (* 1/2 (* K m))) * [misc]backup-simplify: Simplify (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) * [misc]backup-simplify: Simplify (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) into (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (+ m n) K) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (+ m n) K) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* (+ m n) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ m n) 1) (* 0 0)) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (+ m n) K) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (+ m n) K) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ (* m K) 2) into (* 1/2 (* m K)) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* m K)) (- M)) into (- (* 1/2 (* m K)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* m K)) M)) into (cos (- (* 1/2 (* m K)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* m K)) M)) into (sin (- (* 1/2 (* m K)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (+ m n) K) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (+ m n) K) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (+ m n) K) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (+ m n) K) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (* K n)) (- M)) into (- (* 1/2 (* K n)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K n)) M)) into (cos (- (* 1/2 (* K n)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K n)) M)) into (sin (- (* 1/2 (* K n)) M)) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (* K n)) M)) 1) into (cos (- (* 1/2 (* K n)) M)) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (* K n)) M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (* K n)) M)) 0) into (cos (- (* 1/2 (* K n)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (cos (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- (* 1/2 (* K n)) M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* n 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (- (/ K 2) (+ (* (* 1/2 (* K n)) (/ 0 2)))) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) * [misc]backup-simplify: Simplify (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))))) into (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* K (sin (- (* 1/2 (* K n)) M))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K (sin (- (* 1/2 (* K n)) M)))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K (sin (- (* 1/2 (* K n)) M))) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (sin (- (* 1/2 (* K n)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* K (sin (- M))) into (* K (sin (- M))) * [misc]backup-simplify: Simplify (* 1/2 (* K (sin (- M)))) into (* 1/2 (* K (sin (- M)))) * [misc]backup-simplify: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K (sin (- M))) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* 0 (sin (- M))) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (sin (- M)))) * [misc]backup-simplify: Simplify (- (* 1/2 (* K (sin (- M))))) into (- (* 1/2 (* K (sin (- M))))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* K (sin (- M)))))) into (- (* 1/2 (* K (sin (- M))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* K (sin (- M))))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (* K (sin (- M)))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K (sin (- M))) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 1) into (sin (- M)) * [misc]backup-simplify: Simplify (* (cos (- M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (- M)) 0) into (sin (- M)) * [misc]backup-simplify: Simplify (* 0 (sin (- M))) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]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))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* K n)) (/ 0 2)) (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- (* 1/2 (* K n)) M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M))))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- (* 1/2 (* K n)) M)))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow K 2) (cos (- (* 1/2 (* K n)) M))) in n * [misc]taylor: Taking taylor expansion of (pow K 2) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (cos (- (* 1/2 (* K n)) M)) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* K n)) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (* K K) into (pow K 2) * [misc]backup-simplify: Simplify (* (cos (- M)) 1) into (cos (- M)) * [misc]backup-simplify: Simplify (* (sin (- M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- M)) 0) into (cos (- M)) * [misc]backup-simplify: Simplify (* (pow K 2) (cos (- M))) into (* (pow K 2) (cos (- M))) * [misc]backup-simplify: Simplify (* 1/8 (* (pow K 2) (cos (- M)))) into (* 1/8 (* (pow K 2) (cos (- M)))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (pow K 2) (cos (- M))))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 K) 0) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (* 1/2 K)) (* 0 0)) into (* 1/2 (* K (cos (- M)))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* K (cos (- M))))) into (* 1/2 (* K (cos (- M)))) * [misc]backup-simplify: Simplify (+ (* K (* 1/2 (* K (cos (- M))))) (* 0 (sin (- M)))) into (* 1/2 (* (pow K 2) (cos (- M)))) * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1/2 (* (pow K 2) (cos (- M))))) (* 0 (* K (sin (- M))))) into (* 1/4 (* (pow K 2) (cos (- M)))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (pow K 2) (cos (- M))))) into (- (* 1/4 (* (pow K 2) (cos (- M))))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* (pow K 2) (cos (- M))))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (* (pow K 2) (cos (- M)))) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (pow K 2) (cos (- M))))) * [misc]backup-simplify: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (pow K 2) (cos (- M))))) 0) into (- (* 1/8 (* (pow K 2) (cos (- M))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos (- M))))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos (- M)))) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow K 2) (cos (- M))) in K * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (- M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin (- M)))) into (sin (- M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin (- M))) (* 0 0)) into (* 1/2 (sin (- M))) * [misc]backup-simplify: Simplify (- (* 1/2 (sin (- M)))) into (- (* 1/2 (sin (- M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (sin (- M))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M))) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in M * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) into (/ (+ (/ 1 m) (/ 1 n)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 m) (/ 1 n)) K) 2) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]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))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 m) (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) * [misc]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))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]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))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]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))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]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))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* K n)) in n * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 K)) 0) into (* 1/2 (/ 1 K)) * [misc]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))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in K * [misc]taylor: Taking taylor expansion of (* m K) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* m 0) into 0 * [misc]backup-simplify: Simplify (+ (* m 1) (* 0 0)) into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* K n)) in K * [misc]taylor: Taking taylor expansion of (* K n) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (+ (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) * [misc]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))) * [misc]taylor: Taking taylor expansion of (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* K n)) in M * [misc]taylor: Taking taylor expansion of (* K n) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* K n) into (* K n) * [misc]backup-simplify: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]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))) * [misc]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))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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)) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M)))) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in M * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 m) (/ 1 n))) (/ -1 K)) into (/ (+ (/ 1 m) (/ 1 n)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 m) (/ 1 n)) K) 2) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]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)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 m) (/ 1 n))) -1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 m) (/ 1 n))) 0) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) * [misc]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)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]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)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]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)))))) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) into (* 1/2 (/ 1 K)) * [misc]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)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in n * [misc]taylor: Taking taylor expansion of (* m K) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* K n)) in n * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 K)) into (* 1/2 (/ 1 K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 K))) into (* 1/2 (/ 1 K)) * [misc]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)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in K * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in K * [misc]taylor: Taking taylor expansion of (* m K) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* m 0) into 0 * [misc]backup-simplify: Simplify (+ (* m 1) (* 0 0)) into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* K n)) in K * [misc]taylor: Taking taylor expansion of (* K n) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 m)) into (/ 1/2 m) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (+ (/ 1/2 m) (/ 1/2 n)) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) into (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) * [misc]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)))))) * [misc]taylor: Taking taylor expansion of (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m K))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m K)) in M * [misc]taylor: Taking taylor expansion of (* m K) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ 1 (* m K)) into (/ 1 (* m K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* K n))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* K n)) in M * [misc]taylor: Taking taylor expansion of (* K n) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* K n) into (* K n) * [misc]backup-simplify: Simplify (/ 1 (* K n)) into (/ 1 (* K n)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]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)))))) * [misc]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)))))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]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)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2 2) * [misc]approximate: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (* (- M) (- M)) into (pow M 2) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]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)))) * [misc]approximate: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]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)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]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))) * [misc]approximate: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]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)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]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))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (* (+ m n) K) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* n 0) (* 1 K)) into K * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (/ 1 n) (/ 1 K))) into (/ 1 (* K n)) * [misc]taylor: Taking taylor expansion of (/ 1 (* K n)) in n * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (* 0 (/ 1 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 n) 0) (+ (* 0 0) (* 0 (/ 1 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (/ 1 K)) (* 1 (/ 1 (/ 1 m))))) (* 1 (* (/ 1 (/ 1 K)) (* (/ 1 (/ 1 n)) 1)))) into (+ (* K n) (* K m)) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (- (/ 1 n)) (/ -1 K))) into (/ 1 (* K n)) * [misc]taylor: Taking taylor expansion of (/ 1 (* K n)) in n * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 n)) 0) (* 0 (/ -1 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 K) (/ 0 (- K))) (* 0 (/ 0 (- K))) (* 0 (/ 0 (- K))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 n)) 0) (+ (* 0 0) (* 0 (/ -1 K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* K 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (/ 1 (- K))) (* 1 (/ 1 (/ 1 (- m)))))) (* 1 (* (/ 1 (/ 1 (- K))) (* (/ 1 (/ 1 (- n))) 1)))) into (+ (* K n) (* K m)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in M * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in n * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) * [misc]backup-simplify: Simplify (- (pow (- (* 1/2 n) M) 2)) into (- (* M n) (+ (pow M 2) (* 1/4 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (* M n) (+ (pow M 2) (* 1/4 (pow n 2))))) into (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (* 1/4 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (* 1/4 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (fabs (- m n)) (* M n)) in n * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow M 2) (* 1/4 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* 1/4 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (fabs (- m n)) 0) into (fabs (- m n)) * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (+ (pow M 2) 0) into (pow M 2) * [misc]backup-simplify: Simplify (- (pow M 2)) into (- (pow M 2)) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (pow M 2))) into (- (fabs (- m n)) (pow M 2)) * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (fabs (- m n)) 0) into (fabs (- m n)) * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (- (- (* 1/2 n) M)) into (- M (* 1/2 n)) * [misc]backup-simplify: Simplify (+ 0 (- M (* 1/2 n))) into (- M (* 1/2 n)) * [misc]taylor: Taking taylor expansion of (- M (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ M 0) into M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (+ 0 M) into M * [misc]backup-simplify: Simplify (+ (* M 0) (* 0 M)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ M 0) into M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]taylor: Taking taylor expansion of -1/4 in n * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]taylor: Taking taylor expansion of -1/4 in M * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* 1 (* n m))) (+ (* -1/4 (pow (* 1 (* 1 m)) 2)) (fabs (- m n)))) into (- (fabs (- m n)) (+ (* 1/2 (* m n)) (* 1/4 (pow m 2)))) * [misc]approximate: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]taylor: Taking taylor expansion of -1/4 in n * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]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)) * [misc]backup-simplify: Simplify (- (- (* 1/2 (/ 1 n)) (/ 1 M))) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [misc]backup-simplify: Simplify (- (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n)))) into (- (/ 1 (* M n)) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 m) (/ 1 n))) (- (/ 1 (* M n)) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) into (- (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]taylor: Taking taylor expansion of -1/4 in M * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of -1/4 in M * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 1 M) 0) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 M) 0) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 M) 0) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (fabs (- (/ 1 m) (/ 1 n)))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow M 2))) into (- (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 m) (/ 1 n))) (- (/ 1 (pow M 2)))) into (- (fabs (- (/ 1 m) (/ 1 n))) (/ 1 (pow M 2))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (/ 1 (pow M 2))) in M * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]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 (- (+ (* m M) (* M n)) (pow M 2)) * [misc]approximate: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]taylor: Taking taylor expansion of -1/4 in n * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]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)) * [misc]backup-simplify: Simplify (- (- (* 1/2 (/ 1 n)) (/ 1 M))) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [misc]backup-simplify: Simplify (- (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n)))) into (- (/ 1 (* M n)) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 n) (/ 1 m))) (- (/ 1 (* M n)) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) into (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (* M n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (* M n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]taylor: Taking taylor expansion of -1/4 in M * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of -1/4 in M * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 M) 0) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 M) 0) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 n) (/ 1 m))) 0) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow M 2))) into (- (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 n) (/ 1 m))) (- (/ 1 (pow M 2)))) into (- (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (pow M 2))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (pow M 2))) in M * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]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 (- (+ (* m M) (* M n)) (pow M 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 105 * * [misc]simplify: Extracting #5: cost 9 inf + 316 * * [misc]simplify: Extracting #6: cost 0 inf + 1325 * [exit]simplify: Simplified to (* (cos (* (+ n m) (/ K 2))) (cos M)) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (/ (- (* (cos (* (+ n m) (/ K 2))) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin (- M)))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 2 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* (+ m n) K) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 15 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 105 * * [misc]simplify: Extracting #5: cost 9 inf + 316 * * [misc]simplify: Extracting #6: cost 0 inf + 1325 * [exit]simplify: Simplified to (* (cos (* (+ n m) (/ K 2))) (cos M)) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (/ (- (* (cos (* (+ n m) (/ K 2))) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin (- M)))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 3 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* (+ m n) K) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 106 * * [misc]simplify: Extracting #5: cost 11 inf + 150 * * [misc]simplify: Extracting #6: cost 1 inf + 999 * * [misc]simplify: Extracting #7: cost 0 inf + 1284 * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ n m) (/ 2 K)))) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (/ (+ (* (cos M) (cos (/ (+ n m) (/ 2 K)))) (* (sin (/ (* (+ m n) K) 2)) (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 4 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ m n) 2) M) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 42 * * [misc]simplify: Extracting #3: cost 5 inf + 43 * * [misc]simplify: Extracting #4: cost 3 inf + 45 * * [misc]simplify: Extracting #5: cost 0 inf + 294 * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (pow (- (/ (+ n m) 2) M) (+ 1 1))))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (pow (- (/ (+ m n) 2) M) 2)))))) * * * * [misc]progress: [ 12 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 69 inf + 0 * * [misc]simplify: Extracting #3: cost 92 inf + 453 * * [misc]simplify: Extracting #4: cost 63 inf + 3411 * * [misc]simplify: Extracting #5: cost 9 inf + 13769 * * [misc]simplify: Extracting #6: cost 0 inf + 15725 * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (pow (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 1)))))) * * * * [misc]progress: [ 13 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ m n) 2) M) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 42 * * [misc]simplify: Extracting #3: cost 5 inf + 43 * * [misc]simplify: Extracting #4: cost 3 inf + 45 * * [misc]simplify: Extracting #5: cost 0 inf + 294 * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (pow (- (/ (+ n m) 2) M) (+ 1 1))))))) * * * * [misc]progress: [ 15 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 43 * * [misc]simplify: Extracting #6: cost 5 inf + 45 * * [misc]simplify: Extracting #7: cost 0 inf + 722 * [exit]simplify: Simplified to (+ (log (- (/ (+ n m) 2) M)) (log (- (/ (+ n m) 2) M))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (exp (+ (log (- (/ (+ n m) 2) M)) (log (- (/ (+ n m) 2) M))))))))) * * * * [misc]progress: [ 17 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 106 inf + 1 * * [misc]simplify: Extracting #3: cost 271 inf + 46 * * [misc]simplify: Extracting #4: cost 230 inf + 10026 * * [misc]simplify: Extracting #5: cost 35 inf + 62670 * * [misc]simplify: Extracting #6: cost 0 inf + 73610 * [exit]simplify: Simplified to (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (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))))))))) * * * * [misc]progress: [ 20 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 98 inf + 0 * * [misc]simplify: Extracting #3: cost 127 inf + 3 * * [misc]simplify: Extracting #4: cost 139 inf + 973 * * [misc]simplify: Extracting #5: cost 120 inf + 5341 * * [misc]simplify: Extracting #6: cost 21 inf + 33318 * * [misc]simplify: Extracting #7: cost 0 inf + 36356 * * [misc]simplify: Extracting #8: cost 0 inf + 35127 * [exit]simplify: Simplified to (* (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* M (* M M))) (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* M (* M M)))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (/ (* (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* M (* M M))) (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* M (* 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)))))))))) * [enter]simplify: Simplifying (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 32 inf + 0 * * [misc]simplify: Extracting #2: cost 126 inf + 0 * * [misc]simplify: Extracting #3: cost 147 inf + 124 * * [misc]simplify: Extracting #4: cost 155 inf + 167 * * [misc]simplify: Extracting #5: cost 134 inf + 2465 * * [misc]simplify: Extracting #6: cost 51 inf + 24300 * * [misc]simplify: Extracting #7: cost 0 inf + 37984 * * [misc]simplify: Extracting #8: cost 0 inf + 37544 * [exit]simplify: Simplified to (* (+ (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))) (* M M)) (+ (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))) (* M M))) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (/ (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))) (* M M)) (+ (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))) (* M M))))))))) * * * * [misc]progress: [ 24 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 47 inf + 0 * * [misc]simplify: Extracting #2: cost 232 inf + 0 * * [misc]simplify: Extracting #3: cost 380 inf + 45 * * [misc]simplify: Extracting #4: cost 244 inf + 40831 * * [misc]simplify: Extracting #5: cost 23 inf + 104188 * * [misc]simplify: Extracting #6: cost 0 inf + 105481 * * [misc]simplify: Extracting #7: cost 0 inf + 105073 * * [misc]simplify: Extracting #8: cost 0 inf + 105033 * [exit]simplify: Simplified to (- (/ (* (+ n m) (* (/ (+ n m) 4) (+ n m))) (/ 2 (- (* (/ (+ n m) 4) (+ n m)) (* M M)))) (* M (* (* M M) (- (* (/ (+ n m) 4) (+ n m)) (* M M))))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (/ (- (/ (* (+ n m) (* (/ (+ n m) 4) (+ n m))) (/ 2 (- (* (/ (+ n m) 4) (+ n m)) (* M M)))) (* M (* (* M M) (- (* (/ (+ n m) 4) (+ n m)) (* M M))))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (/ (+ m n) 2) M)))))))) * [enter]simplify: Simplifying (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 32 inf + 0 * * [misc]simplify: Extracting #2: cost 158 inf + 0 * * [misc]simplify: Extracting #3: cost 240 inf + 87 * * [misc]simplify: Extracting #4: cost 173 inf + 12418 * * [misc]simplify: Extracting #5: cost 12 inf + 49186 * * [misc]simplify: Extracting #6: cost 0 inf + 52069 * [exit]simplify: Simplified to (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (* (+ M (/ (+ n m) 2)) M)) (+ M (/ (+ n m) 2))) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (/ (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (* (+ M (/ (+ n m) 2)) M)) (+ M (/ (+ n m) 2))))))))) * * * * [misc]progress: [ 25 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 47 inf + 0 * * [misc]simplify: Extracting #2: cost 232 inf + 0 * * [misc]simplify: Extracting #3: cost 380 inf + 126 * * [misc]simplify: Extracting #4: cost 276 inf + 28465 * * [misc]simplify: Extracting #5: cost 17 inf + 97454 * * [misc]simplify: Extracting #6: cost 0 inf + 100740 * [exit]simplify: Simplified to (* (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* (* M M) M)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (/ (* (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* (* M M) M)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))) (* (+ (/ (+ m n) 2) M) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))))))))) * [enter]simplify: Simplifying (* (+ (/ (+ m n) 2) M) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (339 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 36 inf + 0 * * [misc]simplify: Extracting #2: cost 134 inf + 0 * * [misc]simplify: Extracting #3: cost 192 inf + 46 * * [misc]simplify: Extracting #4: cost 140 inf + 11490 * * [misc]simplify: Extracting #5: cost 7 inf + 40150 * * [misc]simplify: Extracting #6: cost 0 inf + 42174 * [exit]simplify: Simplified to (* (+ (* (+ M (/ (+ n m) 2)) (/ (+ n m) 2)) (* M M)) (+ M (/ (+ n m) 2))) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (/ (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (* (+ M (/ (+ n m) 2)) (/ (+ n m) 2)) (* M M)) (+ M (/ (+ n m) 2))))))))) * * * * [misc]progress: [ 26 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 36 inf + 0 * * [misc]simplify: Extracting #2: cost 170 inf + 0 * * [misc]simplify: Extracting #3: cost 232 inf + 44 * * [misc]simplify: Extracting #4: cost 172 inf + 10898 * * [misc]simplify: Extracting #5: cost 29 inf + 46146 * * [misc]simplify: Extracting #6: cost 0 inf + 52892 * [exit]simplify: Simplified to (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (/ (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))) (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)))))))) * [enter]simplify: Simplifying (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 0 * * [misc]simplify: Extracting #3: cost 71 inf + 128 * * [misc]simplify: Extracting #4: cost 104 inf + 171 * * [misc]simplify: Extracting #5: cost 74 inf + 3137 * * [misc]simplify: Extracting #6: cost 10 inf + 14930 * * [misc]simplify: Extracting #7: cost 2 inf + 16922 * * [misc]simplify: Extracting #8: cost 0 inf + 17570 * [exit]simplify: Simplified to (* (+ M (/ (+ n m) 2)) (+ M (/ (+ n m) 2))) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (/ (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ M (/ (+ n m) 2)) (+ M (/ (+ n m) 2))))))))) * * * * [misc]progress: [ 27 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (+ m n) 2) M) (- M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 123 * * [misc]simplify: Extracting #3: cost 26 inf + 413 * * [misc]simplify: Extracting #4: cost 20 inf + 784 * * [misc]simplify: Extracting #5: cost 5 inf + 2265 * * [misc]simplify: Extracting #6: cost 0 inf + 2843 * [exit]simplify: Simplified to (* (- M (/ (+ n m) 2)) M) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (+ (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- M (/ (+ n m) 2)) M))))))) * * * * [misc]progress: [ 29 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (+ m n) 2) M) (- M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 123 * * [misc]simplify: Extracting #3: cost 26 inf + 413 * * [misc]simplify: Extracting #4: cost 20 inf + 784 * * [misc]simplify: Extracting #5: cost 5 inf + 2265 * * [misc]simplify: Extracting #6: cost 0 inf + 2843 * [exit]simplify: Simplified to (* (- M (/ (+ n m) 2)) M) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (+ (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- M (/ (+ n m) 2)) M))))))) * * * * [misc]progress: [ 30 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- M) (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 1 * * [misc]simplify: Extracting #3: cost 34 inf + 165 * * [misc]simplify: Extracting #4: cost 15 inf + 1444 * * [misc]simplify: Extracting #5: cost 0 inf + 3175 * [exit]simplify: Simplified to (* M (- M (/ (+ n m) 2))) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (+ (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* M (- M (/ (+ n m) 2))))))))) * * * * [misc]progress: [ 31 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- M) (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 1 * * [misc]simplify: Extracting #3: cost 34 inf + 165 * * [misc]simplify: Extracting #4: cost 15 inf + 1444 * * [misc]simplify: Extracting #5: cost 0 inf + 3175 * [exit]simplify: Simplified to (* M (- M (/ (+ n m) 2))) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (+ (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* M (- M (/ (+ n m) 2))))))))) * * * * [misc]progress: [ 32 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 42 * * [misc]simplify: Extracting #4: cost 6 inf + 43 * * [misc]simplify: Extracting #5: cost 4 inf + 45 * * [misc]simplify: Extracting #6: cost 0 inf + 498 * [exit]simplify: Simplified to (cbrt (- (/ (+ n m) 2) M)) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (* (* (- (/ (+ m n) 2) M) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (cbrt (- (/ (+ n m) 2) M)))))))) * * * * [misc]progress: [ 33 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 42 * * [misc]simplify: Extracting #4: cost 6 inf + 43 * * [misc]simplify: Extracting #5: cost 4 inf + 45 * * [misc]simplify: Extracting #6: cost 0 inf + 458 * [exit]simplify: Simplified to (sqrt (- (/ (+ n m) 2) M)) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (* (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (sqrt (- (/ (+ n m) 2) M)))))))) * * * * [misc]progress: [ 34 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ m n) 2) M) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 42 * * [misc]simplify: Extracting #3: cost 5 inf + 43 * * [misc]simplify: Extracting #4: cost 3 inf + 45 * * [misc]simplify: Extracting #5: cost 0 inf + 294 * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (* (* (- (/ (+ m n) 2) M) 1) (- (/ (+ n m) 2) M))))))) * * * * [misc]progress: [ 35 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 43 * * [misc]simplify: Extracting #6: cost 5 inf + 45 * * [misc]simplify: Extracting #7: cost 0 inf + 742 * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (* (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)))))))) * * * * [misc]progress: [ 36 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 42 * * [misc]simplify: Extracting #4: cost 6 inf + 43 * * [misc]simplify: Extracting #5: cost 4 inf + 45 * * [misc]simplify: Extracting #6: cost 0 inf + 458 * [exit]simplify: Simplified to (sqrt (- (/ (+ n m) 2) M)) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (* (sqrt (- (/ (+ n m) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)))))))) * * * * [misc]progress: [ 37 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 0 * * [misc]simplify: Extracting #3: cost 63 inf + 44 * * [misc]simplify: Extracting #4: cost 75 inf + 88 * * [misc]simplify: Extracting #5: cost 22 inf + 5784 * * [misc]simplify: Extracting #6: cost 0 inf + 9747 * * [misc]simplify: Extracting #7: cost 0 inf + 9626 * [exit]simplify: Simplified to (+ (* (+ M (/ (+ n m) 2)) (/ (+ n m) 2)) (* M M)) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (/ (* (- (/ (+ m n) 2) M) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (+ (* (+ M (/ (+ n m) 2)) (/ (+ n m) 2)) (* M M)))))))) * * * * [misc]progress: [ 39 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (+ m n) 2) M) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 2 * * [misc]simplify: Extracting #4: cost 3 inf + 4 * * [misc]simplify: Extracting #5: cost 0 inf + 253 * [exit]simplify: Simplified to (+ M (/ (+ n m) 2)) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (/ (* (- (/ (+ m n) 2) M) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (+ M (/ (+ n m) 2)))))))) * * * * [misc]progress: [ 40 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 29 inf + 0 * * [misc]simplify: Extracting #2: cost 111 inf + 0 * * [misc]simplify: Extracting #3: cost 152 inf + 45 * * [misc]simplify: Extracting #4: cost 140 inf + 2935 * * [misc]simplify: Extracting #5: cost 47 inf + 23784 * * [misc]simplify: Extracting #6: cost 1 inf + 34276 * * [misc]simplify: Extracting #7: cost 0 inf + 34340 * [exit]simplify: Simplified to (- (* (/ (+ n m) 2) (* (* (/ (+ n m) 2) (/ (+ n m) 2)) (- (/ (+ n m) 2) M))) (* (* (* M M) M) (- (/ (+ n m) 2) M))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (/ (- (* (/ (+ n m) 2) (* (* (/ (+ n m) 2) (/ (+ n m) 2)) (- (/ (+ n m) 2) M))) (* (* (* M M) M) (- (/ (+ n m) 2) M))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))))))))) * * * * [misc]progress: [ 41 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 47 inf + 0 * * [misc]simplify: Extracting #2: cost 158 inf + 0 * * [misc]simplify: Extracting #3: cost 182 inf + 45 * * [misc]simplify: Extracting #4: cost 137 inf + 8587 * * [misc]simplify: Extracting #5: cost 20 inf + 35315 * * [misc]simplify: Extracting #6: cost 0 inf + 39943 * [exit]simplify: Simplified to (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (+ M (/ (+ n m) 2))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (/ (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (+ M (/ (+ n m) 2))) (+ (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 42 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ m n)) (cbrt (+ m n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 0 * * [misc]simplify: Extracting #4: cost 3 inf + 2 * * [misc]simplify: Extracting #5: cost 0 inf + 328 * [exit]simplify: Simplified to (* (cbrt (+ n m)) (cbrt (+ n m))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (K m n M l) (/ (cos (- (/ (* (* (cbrt (+ n m)) (cbrt (+ n m))) (* (cbrt (+ m n)) K)) 2) M)) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 51 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ m n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 2 * * [misc]simplify: Extracting #4: cost 0 inf + 126 * [exit]simplify: Simplified to (sqrt (+ n m)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (K m n M l) (/ (cos (- (/ (* (sqrt (+ n m)) (* (sqrt (+ m n)) K)) 2) M)) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 52 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow m 3) (pow n 3)) K) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 1 * * [misc]simplify: Extracting #3: cost 13 inf + 3 * * [misc]simplify: Extracting #4: cost 6 inf + 374 * * [misc]simplify: Extracting #5: cost 0 inf + 1185 * [exit]simplify: Simplified to (* (+ (* m (* m m)) (* (* n n) n)) K) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (K m n M l) (/ (cos (- (/ (/ (* (+ (* m (* m m)) (* (* n n) n)) K) (+ (* m m) (- (* n n) (* m n)))) 2) M)) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 54 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* m m) (* n n)) K) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 26 inf + 0 * * [misc]simplify: Extracting #2: cost 80 inf + 1 * * [misc]simplify: Extracting #3: cost 78 inf + 865 * * [misc]simplify: Extracting #4: cost 17 inf + 8962 * * [misc]simplify: Extracting #5: cost 1 inf + 11364 * * [misc]simplify: Extracting #6: cost 0 inf + 11567 * [exit]simplify: Simplified to (* (- (* m m) (* n n)) K) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (K m n M l) (/ (cos (- (/ (/ (* (- (* m m) (* n n)) K) (- m n)) 2) M)) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 55 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (fabs (- m n))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 96 inf + 0 * * [misc]simplify: Extracting #3: cost 155 inf + 2 * * [misc]simplify: Extracting #4: cost 167 inf + 548 * * [misc]simplify: Extracting #5: cost 143 inf + 3233 * * [misc]simplify: Extracting #6: cost 35 inf + 28986 * * [misc]simplify: Extracting #7: cost 1 inf + 38495 * * [misc]simplify: Extracting #8: cost 0 inf + 38249 * * [misc]simplify: Extracting #9: cost 0 inf + 38169 * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (log (exp (- (fabs (- m n)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))))))) * * * * [misc]progress: [ 57 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (fabs (- m n))) (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 42 * * [misc]simplify: Extracting #3: cost 16 inf + 43 * * [misc]simplify: Extracting #4: cost 15 inf + 45 * * [misc]simplify: Extracting #5: cost 11 inf + 252 * * [misc]simplify: Extracting #6: cost 2 inf + 1638 * * [misc]simplify: Extracting #7: cost 0 inf + 2046 * [exit]simplify: Simplified to (+ (- (sqrt (fabs (- m n))) M) (/ (+ n m) 2)) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (* (+ (- (sqrt (fabs (- m n))) M) (/ (+ n m) 2)) (- (sqrt (fabs (- m n))) (- (/ (+ m n) 2) M))))))) * [enter]simplify: Simplifying (- (sqrt (fabs (- m n))) (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 42 * * [misc]simplify: Extracting #3: cost 25 inf + 43 * * [misc]simplify: Extracting #4: cost 20 inf + 169 * * [misc]simplify: Extracting #5: cost 6 inf + 1604 * * [misc]simplify: Extracting #6: cost 0 inf + 2864 * [exit]simplify: Simplified to (+ (- M (/ (+ n m) 2)) (sqrt (fabs (- m n)))) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (* (+ (sqrt (fabs (- m n))) (- (/ (+ m n) 2) M)) (+ (- M (/ (+ n m) 2)) (sqrt (fabs (- m n))))))))) * * * * [misc]progress: [ 68 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (+ m n) 2) M) (- M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 123 * * [misc]simplify: Extracting #3: cost 26 inf + 413 * * [misc]simplify: Extracting #4: cost 20 inf + 784 * * [misc]simplify: Extracting #5: cost 5 inf + 2265 * * [misc]simplify: Extracting #6: cost 0 inf + 2843 * [exit]simplify: Simplified to (* (- M (/ (+ n m) 2)) M) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2))) (* (- M (/ (+ n m) 2)) M)))))) * * * * [misc]progress: [ 69 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (+ m n) 2) M) (- M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 123 * * [misc]simplify: Extracting #3: cost 26 inf + 413 * * [misc]simplify: Extracting #4: cost 20 inf + 784 * * [misc]simplify: Extracting #5: cost 5 inf + 2265 * * [misc]simplify: Extracting #6: cost 0 inf + 2843 * [exit]simplify: Simplified to (* (- M (/ (+ n m) 2)) M) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2))) (* (- M (/ (+ n m) 2)) M)))))) * * * * [misc]progress: [ 70 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- M) (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 1 * * [misc]simplify: Extracting #3: cost 34 inf + 165 * * [misc]simplify: Extracting #4: cost 15 inf + 1444 * * [misc]simplify: Extracting #5: cost 0 inf + 3175 * [exit]simplify: Simplified to (* M (- M (/ (+ n m) 2))) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (- (fabs (- m n)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M))) (* M (- M (/ (+ n m) 2)))))))) * * * * [misc]progress: [ 71 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- M) (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 1 * * [misc]simplify: Extracting #3: cost 34 inf + 165 * * [misc]simplify: Extracting #4: cost 15 inf + 1444 * * [misc]simplify: Extracting #5: cost 0 inf + 3175 * [exit]simplify: Simplified to (* M (- M (/ (+ n m) 2))) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (- (fabs (- m n)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M))) (* M (- M (/ (+ n m) 2)))))))) * * * * [misc]progress: [ 72 / 84 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 74 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 33 inf + 1 * * [misc]simplify: Extracting #4: cost 25 inf + 130 * * [misc]simplify: Extracting #5: cost 4 inf + 2070 * * [misc]simplify: Extracting #6: cost 0 inf + 2788 * * [misc]simplify: Extracting #7: cost 0 inf + 2628 * [exit]simplify: Simplified to (cos (- (* K (* (+ m n) 1/2)) M)) * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (/ (cos (- (* K (* (+ m n) 1/2)) M)) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 75 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 0 * * [misc]simplify: Extracting #3: cost 33 inf + 1 * * [misc]simplify: Extracting #4: cost 25 inf + 130 * * [misc]simplify: Extracting #5: cost 4 inf + 2070 * * [misc]simplify: Extracting #6: cost 0 inf + 2788 * * [misc]simplify: Extracting #7: cost 0 inf + 2628 * [exit]simplify: Simplified to (cos (- (* K (* (+ m n) 1/2)) M)) * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (/ (cos (- (* K (* (+ m n) 1/2)) M)) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 76 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 169 * * [misc]simplify: Extracting #4: cost 3 inf + 1527 * * [misc]simplify: Extracting #5: cost 0 inf + 1978 * [exit]simplify: Simplified to (+ (* m (+ (* 1/2 n) (* 1/4 m))) (* (* n n) 1/4)) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (+ (* m (+ (* 1/2 n) (* 1/4 m))) (* (* n n) 1/4))))))) * * * * [misc]progress: [ 77 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow M 2) (+ (* m M) (* M n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 42 inf + 1 * * [misc]simplify: Extracting #3: cost 30 inf + 538 * * [misc]simplify: Extracting #4: cost 2 inf + 2995 * * [misc]simplify: Extracting #5: cost 0 inf + 3199 * [exit]simplify: Simplified to (* (- (- M n) m) M) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (* (- (- M n) m) M)))))) * * * * [misc]progress: [ 78 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow M 2) (+ (* m M) (* M n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 42 inf + 1 * * [misc]simplify: Extracting #3: cost 30 inf + 538 * * [misc]simplify: Extracting #4: cost 2 inf + 2995 * * [misc]simplify: Extracting #5: cost 0 inf + 3199 * [exit]simplify: Simplified to (* (- (- M n) m) M) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (* (- (- M n) m) M)))))) * * * * [misc]progress: [ 79 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (/ 0 2) M)) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 80 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* K n) (* K m)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 252 * * [misc]simplify: Extracting #4: cost 0 inf + 212 * [exit]simplify: Simplified to (* K (+ n m)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (/ (* K (+ n m)) 2) M)) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 81 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* K n) (* K m)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 5 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 252 * * [misc]simplify: Extracting #4: cost 0 inf + 212 * [exit]simplify: Simplified to (* K (+ n m)) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (K m n M l) (/ (cos (- (/ (* K (+ n m)) 2) M)) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 82 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fabs (- m n)) (+ (* 1/2 (* m n)) (* 1/4 (pow m 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 52 inf + 0 * * [misc]simplify: Extracting #3: cost 44 inf + 170 * * [misc]simplify: Extracting #4: cost 6 inf + 4742 * * [misc]simplify: Extracting #5: cost 0 inf + 5603 * [exit]simplify: Simplified to (- (fabs (- m n)) (* (+ (* 1/4 m) (* n 1/2)) m)) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (- (fabs (- m n)) (* (+ (* 1/4 m) (* n 1/2)) m)))))) * * * * [misc]progress: [ 83 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* m M) (* M n)) (pow M 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 28 inf + 42 * * [misc]simplify: Extracting #3: cost 17 inf + 624 * * [misc]simplify: Extracting #4: cost 0 inf + 2218 * [exit]simplify: Simplified to (* (+ (- n M) m) M) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (* (+ (- n M) m) M))))) * * * * [misc]progress: [ 84 / 84 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* m M) (* M n)) (pow M 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 28 inf + 42 * * [misc]simplify: Extracting #3: cost 17 inf + 624 * * [misc]simplify: Extracting #4: cost 0 inf + 2218 * [exit]simplify: Simplified to (* (+ (- n M) m) M) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (/ (cos (- (/ (* (+ m n) K) 2) M)) (exp (- l (* (+ (- n M) m) M))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2 2) * [misc]approximate: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) * [misc]taylor: Taking taylor expansion of (pow (- (* 1/2 n) M) 2) in n * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (* (- M) (- M)) into (pow M 2) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- M) 1/2) (* 1/2 (- M))) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- M) 0) (+ (* 1/2 1/2) (* 0 (- M)))) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]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)))) * [misc]approximate: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]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)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]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))) * [misc]approximate: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]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)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]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))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in M * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in n * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) * [misc]backup-simplify: Simplify (- (pow (- (* 1/2 n) M) 2)) into (- (* M n) (+ (pow M 2) (* 1/4 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (* M n) (+ (pow M 2) (* 1/4 (pow n 2))))) into (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (* 1/4 (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (* 1/4 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (+ (fabs (- m n)) (* M n)) in n * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow M 2) (* 1/4 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* 1/4 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (fabs (- m n)) 0) into (fabs (- m n)) * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (+ (pow M 2) 0) into (pow M 2) * [misc]backup-simplify: Simplify (- (pow M 2)) into (- (pow M 2)) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (pow M 2))) into (- (fabs (- m n)) (pow M 2)) * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (fabs (- m n)) 0) into (fabs (- m n)) * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* (* 1/2 n) (/ 0 2)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 n) M) 1/2) (* 1/2 (- (* 1/2 n) M))) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (- (- (* 1/2 n) M)) into (- M (* 1/2 n)) * [misc]backup-simplify: Simplify (+ 0 (- M (* 1/2 n))) into (- M (* 1/2 n)) * [misc]taylor: Taking taylor expansion of (- M (* 1/2 n)) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ M 0) into M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (+ 0 M) into M * [misc]backup-simplify: Simplify (+ (* M 0) (* 0 M)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ M 0) into M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 n) (/ 0 2)) (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 n) M) 0) (+ (* 1/2 1/2) (* 0 (- (* 1/2 n) M)))) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]taylor: Taking taylor expansion of -1/4 in n * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]taylor: Taking taylor expansion of -1/4 in M * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (* 1 (* n m))) (+ (* -1/4 (pow (* 1 (* 1 m)) 2)) (fabs (- m n)))) into (- (fabs (- m n)) (+ (* 1/2 (* m n)) (* 1/4 (pow m 2)))) * [misc]approximate: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]taylor: Taking taylor expansion of -1/4 in n * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [misc]backup-simplify: Simplify (- (/ (/ 1 n) 2) (+ (* 1/2 (/ 0 2)))) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]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)) * [misc]backup-simplify: Simplify (- (- (* 1/2 (/ 1 n)) (/ 1 M))) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [misc]backup-simplify: Simplify (- (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n)))) into (- (/ 1 (* M n)) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 m) (/ 1 n))) (- (/ 1 (* M n)) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) into (- (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]taylor: Taking taylor expansion of -1/4 in M * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of -1/4 in M * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 1 M) 0) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 M) 0) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 M) 0) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* (* 1/2 (/ 1 n)) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (fabs (- (/ 1 m) (/ 1 n)))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow M 2))) into (- (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 m) (/ 1 n))) (- (/ 1 (pow M 2)))) into (- (fabs (- (/ 1 m) (/ 1 n))) (/ 1 (pow M 2))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (/ 1 (pow M 2))) in M * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]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 (- (+ (* m M) (* M n)) (pow M 2)) * [misc]approximate: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]taylor: Taking taylor expansion of -1/4 in n * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 n)) into (- (/ 1 n)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 n)) 2) (+ (* -1/2 (/ 0 2)))) into (- (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]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)) * [misc]backup-simplify: Simplify (- (- (* 1/2 (/ 1 n)) (/ 1 M))) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) into (- (/ 1 M) (* 1/2 (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (/ 1 M) (* 1/2 (/ 1 n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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))) * [misc]backup-simplify: Simplify (- (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (/ 1 (* M n)))) into (- (/ 1 (* M n)) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 n) (/ 1 m))) (- (/ 1 (* M n)) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) into (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (* M n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (* M n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (* M n))) in n * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]taylor: Taking taylor expansion of -1/4 in M * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]taylor: Taking taylor expansion of -1/2 in M * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of -1/4 in M * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 M) 0) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 M) 0) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* -1/2 (/ 0 2)) (* (- (* 1/2 (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]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 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 n) (/ 1 m))) 0) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]backup-simplify: Simplify (- (/ 1 (pow M 2))) into (- (/ 1 (pow M 2))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 n) (/ 1 m))) (- (/ 1 (pow M 2)))) into (- (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (pow M 2))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (pow M 2))) in M * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]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 (- (+ (* m M) (* M n)) (pow M 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) in (l m n M) around 0 * [misc]taylor: Taking taylor expansion of (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) in M * [misc]taylor: Taking taylor expansion of (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in M * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) 0) into (+ (* 1/2 m) (* 1/2 n)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) 0) into (+ (* 1/2 m) (* 1/2 n)) * [misc]backup-simplify: Simplify (* (+ (* 1/2 m) (* 1/2 n)) (+ (* 1/2 m) (* 1/2 n))) into (pow (+ (* 1/2 m) (* 1/2 n)) 2) * [misc]backup-simplify: Simplify (- (pow (+ (* 1/2 m) (* 1/2 n)) 2)) into (- (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2)))))) into (- (fabs (- m n)) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))))) * [misc]backup-simplify: Simplify (- (- (fabs (- m n)) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2)))))) into (- (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2)))) (fabs (- m n))) * [misc]backup-simplify: Simplify (+ l (- (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2)))) (fabs (- m n)))) into (- (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (+ l (* 1/4 (pow m 2))))) (fabs (- m n))) * [misc]backup-simplify: Simplify (exp (- (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (+ l (* 1/4 (pow m 2))))) (fabs (- m n)))) into (exp (- (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (+ l (* 1/4 (pow n 2))))) (fabs (- m n)))) * [misc]taylor: Taking taylor expansion of (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) in n * [misc]taylor: Taking taylor expansion of (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in n * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) * [misc]backup-simplify: Simplify (* (- (* 1/2 m) M) (- (* 1/2 m) M)) into (pow (- (* 1/2 m) M) 2) * [misc]backup-simplify: Simplify (- (pow (- (* 1/2 m) M) 2)) into (- (* m M) (+ (pow M 2) (* 1/4 (pow m 2)))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (* m M) (+ (pow M 2) (* 1/4 (pow m 2))))) into (- (+ (fabs (- m n)) (* m M)) (+ (pow M 2) (* 1/4 (pow m 2)))) * [misc]backup-simplify: Simplify (- (- (+ (fabs (- m n)) (* m M)) (+ (pow M 2) (* 1/4 (pow m 2))))) into (- (+ (pow M 2) (* 1/4 (pow m 2))) (+ (fabs (- m n)) (* m M))) * [misc]backup-simplify: Simplify (+ l (- (+ (pow M 2) (* 1/4 (pow m 2))) (+ (fabs (- m n)) (* m M)))) into (- (+ (pow M 2) (+ l (* 1/4 (pow m 2)))) (+ (fabs (- m n)) (* m M))) * [misc]backup-simplify: Simplify (exp (- (+ (pow M 2) (+ l (* 1/4 (pow m 2)))) (+ (fabs (- m n)) (* m M)))) into (exp (- (+ (pow M 2) (+ l (* 1/4 (pow m 2)))) (+ (fabs (- m n)) (* m M)))) * [misc]taylor: Taking taylor expansion of (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) in m * [misc]taylor: Taking taylor expansion of (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (* (- (* 1/2 n) M) (- (* 1/2 n) M)) into (pow (- (* 1/2 n) M) 2) * [misc]backup-simplify: Simplify (- (pow (- (* 1/2 n) M) 2)) into (- (* M n) (+ (pow M 2) (* 1/4 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (* M n) (+ (pow M 2) (* 1/4 (pow n 2))))) into (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (* 1/4 (pow n 2)))) * [misc]backup-simplify: Simplify (- (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (* 1/4 (pow n 2))))) into (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n))) * [misc]backup-simplify: Simplify (+ l (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n)))) into (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (+ (* M n) (fabs (- m n)))) * [misc]backup-simplify: Simplify (exp (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (+ (* M n) (fabs (- m n))))) into (exp (- (+ (pow M 2) (+ l (* 1/4 (pow n 2)))) (+ (* M n) (fabs (- m n))))) * [misc]taylor: Taking taylor expansion of (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) in l * [misc]taylor: Taking taylor expansion of (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in l * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in l * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in l * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in l * [misc]taylor: Taking taylor expansion of (+ m n) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in l * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in l * [misc]taylor: Taking taylor expansion of (+ m n) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) (- M)) into (- (+ (* 1/2 m) (* 1/2 n)) M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) (- M)) into (- (+ (* 1/2 m) (* 1/2 n)) M) * [misc]backup-simplify: Simplify (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) * [misc]backup-simplify: Simplify (- (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2)) into (- (+ (* m M) (* M n)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2)))))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ (* m M) (* M n)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))))))) into (- (+ (* m M) (+ (* M n) (fabs (- m n)))) (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2)))))) * [misc]backup-simplify: Simplify (- (- (+ (* m M) (+ (* M n) (fabs (- m n)))) (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))))) into (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n)))))) into (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n))))) * [misc]backup-simplify: Simplify (exp (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n)))))) into (exp (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n)))))) * [misc]taylor: Taking taylor expansion of (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) in l * [misc]taylor: Taking taylor expansion of (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in l * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in l * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in l * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in l * [misc]taylor: Taking taylor expansion of (+ m n) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in l * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in l * [misc]taylor: Taking taylor expansion of (+ m n) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) (- M)) into (- (+ (* 1/2 m) (* 1/2 n)) M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) (- M)) into (- (+ (* 1/2 m) (* 1/2 n)) M) * [misc]backup-simplify: Simplify (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) * [misc]backup-simplify: Simplify (- (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2)) into (- (+ (* m M) (* M n)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2)))))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ (* m M) (* M n)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))))))) into (- (+ (* m M) (+ (* M n) (fabs (- m n)))) (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2)))))) * [misc]backup-simplify: Simplify (- (- (+ (* m M) (+ (* M n) (fabs (- m n)))) (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))))) into (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n)))))) into (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n))))) * [misc]backup-simplify: Simplify (exp (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n)))))) into (exp (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n)))))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n)))))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (pow m 2)) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (pow M 2) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* m n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* 1/4 (pow n 2)) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ (* m M) (+ (* M n) (fabs (- m n)))) in m * [misc]taylor: Taking taylor expansion of (* m M) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (+ (* M n) (fabs (- m n))) in m * [misc]taylor: Taking taylor expansion of (* M n) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (* 1/4 (pow n 2)) into (* 1/4 (pow n 2)) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (pow n 2))) into (* 1/4 (pow n 2)) * [misc]backup-simplify: Simplify (+ (pow M 2) (* 1/4 (pow n 2))) into (+ (pow M 2) (* 1/4 (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (+ (pow M 2) (* 1/4 (pow n 2)))) into (+ (pow M 2) (* 1/4 (pow n 2))) * [misc]backup-simplify: Simplify (* 0 M) into 0 * [misc]backup-simplify: Simplify (* M n) into (* M n) * [misc]backup-simplify: Simplify (+ (* M n) (fabs (- m n))) into (+ (fabs (- m n)) (* M n)) * [misc]backup-simplify: Simplify (+ 0 (+ (fabs (- m n)) (* M n))) into (+ (* M n) (fabs (- m n))) * [misc]backup-simplify: Simplify (- (+ (* M n) (fabs (- m n)))) into (- (+ (fabs (- m n)) (* M n))) * [misc]backup-simplify: Simplify (+ (+ (pow M 2) (* 1/4 (pow n 2))) (- (+ (fabs (- m n)) (* M n)))) into (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n))) * [misc]backup-simplify: Simplify (exp (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n)))) into (exp (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n)))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n))) in n * [misc]taylor: Taking taylor expansion of (+ (pow M 2) (* 1/4 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* 1/4 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (fabs (- m n)) (* M n)) in n * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (+ (pow M 2) 0) into (pow M 2) * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (fabs (- m n)) 0) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ (pow M 2) (- (fabs (- m n)))) into (- (pow M 2) (fabs (- m n))) * [misc]backup-simplify: Simplify (exp (- (pow M 2) (fabs (- m n)))) into (exp (- (pow M 2) (fabs (- m n)))) * [misc]taylor: Taking taylor expansion of (exp (- (pow M 2) (fabs (- m n)))) in M * [misc]taylor: Taking taylor expansion of (- (pow M 2) (fabs (- m n))) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ 0 (- (fabs (- m n)))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)))) into (exp (- (fabs (- m n)))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)))) into (exp (- (fabs (- m n)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ m n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ m n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) 0) (* 0 (- (+ (* 1/2 m) (* 1/2 n)) M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (exp (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n)))))) (+ (* (/ (pow 1 1) 1)))) into (exp (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n)))))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n)))))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (pow m 2)) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (pow M 2) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* m n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* 1/4 (pow n 2)) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ (* m M) (+ (* M n) (fabs (- m n)))) in m * [misc]taylor: Taking taylor expansion of (* m M) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (+ (* M n) (fabs (- m n))) in m * [misc]taylor: Taking taylor expansion of (* M n) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (* 1/4 (pow n 2)) into (* 1/4 (pow n 2)) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (pow n 2))) into (* 1/4 (pow n 2)) * [misc]backup-simplify: Simplify (+ (pow M 2) (* 1/4 (pow n 2))) into (+ (pow M 2) (* 1/4 (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (+ (pow M 2) (* 1/4 (pow n 2)))) into (+ (pow M 2) (* 1/4 (pow n 2))) * [misc]backup-simplify: Simplify (* 0 M) into 0 * [misc]backup-simplify: Simplify (* M n) into (* M n) * [misc]backup-simplify: Simplify (+ (* M n) (fabs (- m n))) into (+ (fabs (- m n)) (* M n)) * [misc]backup-simplify: Simplify (+ 0 (+ (fabs (- m n)) (* M n))) into (+ (* M n) (fabs (- m n))) * [misc]backup-simplify: Simplify (- (+ (* M n) (fabs (- m n)))) into (- (+ (fabs (- m n)) (* M n))) * [misc]backup-simplify: Simplify (+ (+ (pow M 2) (* 1/4 (pow n 2))) (- (+ (fabs (- m n)) (* M n)))) into (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n))) * [misc]backup-simplify: Simplify (exp (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n)))) into (exp (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n)))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n))) in n * [misc]taylor: Taking taylor expansion of (+ (pow M 2) (* 1/4 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* 1/4 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (fabs (- m n)) (* M n)) in n * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (+ (pow M 2) 0) into (pow M 2) * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (fabs (- m n)) 0) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ (pow M 2) (- (fabs (- m n)))) into (- (pow M 2) (fabs (- m n))) * [misc]backup-simplify: Simplify (exp (- (pow M 2) (fabs (- m n)))) into (exp (- (pow M 2) (fabs (- m n)))) * [misc]taylor: Taking taylor expansion of (exp (- (pow M 2) (fabs (- m n)))) in M * [misc]taylor: Taking taylor expansion of (- (pow M 2) (fabs (- m n))) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ 0 (- (fabs (- m n)))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)))) into (exp (- (fabs (- m n)))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)))) into (exp (- (fabs (- m n)))) * [misc]backup-simplify: Simplify (+ (* M 0) (* 0 M)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow n 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 n) 0) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 M)) into M * [misc]backup-simplify: Simplify (+ (* M 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ M 0) into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]backup-simplify: Simplify (* (exp (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n)))) (+ (* (/ (pow (- (* 1/2 n) M) 1) 1)))) into (* (exp (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n)))) (- (* 1/2 n) M)) * [misc]taylor: Taking taylor expansion of (* (exp (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n)))) (- (* 1/2 n) M)) in n * [misc]taylor: Taking taylor expansion of (exp (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n))) in n * [misc]taylor: Taking taylor expansion of (+ (pow M 2) (* 1/4 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* 1/4 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (fabs (- m n)) (* M n)) in n * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (+ (pow M 2) 0) into (pow M 2) * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (fabs (- m n)) 0) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ (pow M 2) (- (fabs (- m n)))) into (- (pow M 2) (fabs (- m n))) * [misc]backup-simplify: Simplify (exp (- (pow M 2) (fabs (- m n)))) into (exp (- (pow M 2) (fabs (- m n)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (* (exp (- (pow M 2) (fabs (- m n)))) (- M)) into (* -1 (* M (exp (- (pow M 2) (fabs (- m n)))))) * [misc]taylor: Taking taylor expansion of (* -1 (* M (exp (- (pow M 2) (fabs (- m n)))))) in M * [misc]taylor: Taking taylor expansion of -1 in M * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* M (exp (- (pow M 2) (fabs (- m n))))) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (- (pow M 2) (fabs (- m n)))) in M * [misc]taylor: Taking taylor expansion of (- (pow M 2) (fabs (- m n))) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ 0 (- (fabs (- m n)))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)))) into (exp (- (fabs (- m n)))) * [misc]backup-simplify: Simplify (* 0 (exp (- (fabs (- m n))))) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (* 0 M)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (+ 0 M) into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]backup-simplify: Simplify (* (exp (- (pow M 2) (fabs (- m n)))) (+ (* (/ (pow (- M) 1) 1)))) into (* -1 (* M (exp (- (pow M 2) (fabs (- m n)))))) * [misc]taylor: Taking taylor expansion of (* -1 (* M (exp (- (pow M 2) (fabs (- m n)))))) in M * [misc]taylor: Taking taylor expansion of -1 in M * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* M (exp (- (pow M 2) (fabs (- m n))))) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (exp (- (pow M 2) (fabs (- m n)))) in M * [misc]taylor: Taking taylor expansion of (- (pow M 2) (fabs (- m n))) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ 0 (- (fabs (- m n)))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)))) into (exp (- (fabs (- m n)))) * [misc]backup-simplify: Simplify (* 0 (exp (- (fabs (- m n))))) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (fabs (- m n)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ m n)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ m n)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) 0) (+ (* 0 0) (* 0 (- (+ (* 1/2 m) (* 1/2 n)) M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (exp (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n)))))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (exp (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n))))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n))))))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n)))))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (pow m 2)) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (pow M 2) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* m n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* 1/4 (pow n 2)) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ (* m M) (+ (* M n) (fabs (- m n)))) in m * [misc]taylor: Taking taylor expansion of (* m M) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (+ (* M n) (fabs (- m n))) in m * [misc]taylor: Taking taylor expansion of (* M n) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (* 1/4 (pow n 2)) into (* 1/4 (pow n 2)) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (pow n 2))) into (* 1/4 (pow n 2)) * [misc]backup-simplify: Simplify (+ (pow M 2) (* 1/4 (pow n 2))) into (+ (pow M 2) (* 1/4 (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (+ (pow M 2) (* 1/4 (pow n 2)))) into (+ (pow M 2) (* 1/4 (pow n 2))) * [misc]backup-simplify: Simplify (* 0 M) into 0 * [misc]backup-simplify: Simplify (* M n) into (* M n) * [misc]backup-simplify: Simplify (+ (* M n) (fabs (- m n))) into (+ (fabs (- m n)) (* M n)) * [misc]backup-simplify: Simplify (+ 0 (+ (fabs (- m n)) (* M n))) into (+ (* M n) (fabs (- m n))) * [misc]backup-simplify: Simplify (- (+ (* M n) (fabs (- m n)))) into (- (+ (fabs (- m n)) (* M n))) * [misc]backup-simplify: Simplify (+ (+ (pow M 2) (* 1/4 (pow n 2))) (- (+ (fabs (- m n)) (* M n)))) into (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n))) * [misc]backup-simplify: Simplify (exp (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n)))) into (exp (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n)))) * [misc]backup-simplify: Simplify (* 1/2 (exp (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n))))) into (* 1/2 (exp (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n))))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n)))) in n * [misc]taylor: Taking taylor expansion of (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n))) in n * [misc]taylor: Taking taylor expansion of (+ (pow M 2) (* 1/4 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* 1/4 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (fabs (- m n)) (* M n)) in n * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (+ (pow M 2) 0) into (pow M 2) * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (fabs (- m n)) 0) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ (pow M 2) (- (fabs (- m n)))) into (- (pow M 2) (fabs (- m n))) * [misc]backup-simplify: Simplify (exp (- (pow M 2) (fabs (- m n)))) into (exp (- (pow M 2) (fabs (- m n)))) * [misc]backup-simplify: Simplify (* 1/2 (exp (- (pow M 2) (fabs (- m n))))) into (* 1/2 (exp (- (pow M 2) (fabs (- m n))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (exp (- (pow M 2) (fabs (- m n))))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (exp (- (pow M 2) (fabs (- m n)))) in M * [misc]taylor: Taking taylor expansion of (- (pow M 2) (fabs (- m n))) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ 0 (- (fabs (- m n)))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)))) into (exp (- (fabs (- m n)))) * [misc]backup-simplify: Simplify (* 1/2 (exp (- (fabs (- m n))))) into (* 1/2 (exp (- (fabs (- m n))))) * [misc]backup-simplify: Simplify (* 1/2 (exp (- (fabs (- m n))))) into (* 1/2 (exp (- (fabs (- m n))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (exp (- (fabs (- m n))))) (pow (* 1 (* 1 (* 1 l))) 2)) (+ (* (exp (- (fabs (- m n)))) (* 1 (* 1 (* 1 l)))) (exp (- (fabs (- m n)))))) into (+ (exp (- (fabs (- m n)))) (+ (* (exp (- (fabs (- m n)))) l) (* 1/2 (* (exp (- (fabs (- m n)))) (pow l 2))))) * [misc]approximate: Taking taylor expansion of (exp (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))))) in (l m n M) around 0 * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))))) in M * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 l) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))))) into (exp (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))))) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]backup-simplify: Simplify (- -1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (exp (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))))) into (exp (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))))) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))))) in m * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]backup-simplify: Simplify (- -1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (exp (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))))) into (exp (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))))) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))))) in l * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in l * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in l * [misc]taylor: Taking taylor expansion of (/ 1 m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in l * [misc]taylor: Taking taylor expansion of (/ 1 m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))))) into (exp (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))))) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))))) in l * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in l * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in l * [misc]taylor: Taking taylor expansion of (/ 1 m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in l * [misc]taylor: Taking taylor expansion of (/ 1 m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))))) into (exp (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m n)) in m * [misc]taylor: Taking taylor expansion of (* m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in m * [misc]taylor: Taking taylor expansion of (pow M 2) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in m * [misc]taylor: Taking taylor expansion of (* M n) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* M n) into (* M n) * [misc]backup-simplify: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (* m M)) in m * [misc]taylor: Taking taylor expansion of (* m M) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 M) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 M)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]backup-simplify: Simplify (exp (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))))) into (exp (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m n)) in n * [misc]taylor: Taking taylor expansion of (* m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* m 0) into 0 * [misc]backup-simplify: Simplify (+ (* m 1) (* 0 0)) into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow m 2)) in n * [misc]taylor: Taking taylor expansion of (pow m 2) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (* m m) into (pow m 2) * [misc]backup-simplify: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* m M)) in n * [misc]taylor: Taking taylor expansion of (* m M) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* m M) into (* m M) * [misc]backup-simplify: Simplify (/ 1 (* m M)) into (/ 1 (* m M)) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]backup-simplify: Simplify (exp (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))))) into (exp (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n)))))) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m n)) in M * [misc]taylor: Taking taylor expansion of (* m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* m n) into (* m n) * [misc]backup-simplify: Simplify (/ 1 (* m n)) into (/ 1 (* m n)) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in M * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow m 2)) in M * [misc]taylor: Taking taylor expansion of (pow m 2) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (* m m) into (pow m 2) * [misc]backup-simplify: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 l) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in M * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in M * [misc]taylor: Taking taylor expansion of (pow n 2) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in M * [misc]taylor: Taking taylor expansion of (* M n) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (* m M)) in M * [misc]taylor: Taking taylor expansion of (* m M) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* m 0) into 0 * [misc]backup-simplify: Simplify (+ (* m 1) (* 0 0)) into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (exp (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))))) into (exp (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))))) * [misc]backup-simplify: Simplify (exp (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))))) into (exp (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 l) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 n)))) (+ (* 1/4 (/ 1 (pow (/ 1 m) 2))) (+ (/ 1 (/ 1 l)) (+ (/ 1 (pow (/ 1 M) 2)) (* 1/4 (/ 1 (pow (/ 1 n) 2))))))) (+ (/ 1 (* (/ 1 M) (/ 1 n))) (+ (/ 1 (* (/ 1 m) (/ 1 M))) (fabs (- (/ 1 (/ 1 m)) (/ 1 (/ 1 n)))))))) into (exp (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) (+ (* m M) (+ (* M n) (fabs (- m n)))))) * [misc]approximate: Taking taylor expansion of (exp (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))))) in (l m n M) around 0 * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))))) in M * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in M * [misc]taylor: Taking taylor expansion of (- l) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))))) into (exp (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M n)) (/ 1 (* m M))))))) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))))) in n * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in n * [misc]taylor: Taking taylor expansion of (- l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]backup-simplify: Simplify (- -1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))))) into (exp (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M n)) (/ 1 (* m M))))))) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))))) in m * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in m * [misc]taylor: Taking taylor expansion of (- l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]backup-simplify: Simplify (- -1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))))) into (exp (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M n)) (/ 1 (* m M))))))) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))))) in l * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in l * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in l * [misc]taylor: Taking taylor expansion of (- m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in l * [misc]taylor: Taking taylor expansion of (- n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in l * [misc]taylor: Taking taylor expansion of (- M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in l * [misc]taylor: Taking taylor expansion of (- m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in l * [misc]taylor: Taking taylor expansion of (- n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in l * [misc]taylor: Taking taylor expansion of (- M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))))) into (exp (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M n)) (/ 1 (* m M))))))) * [misc]taylor: Taking taylor expansion of (exp (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))))) in l * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in l * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in l * [misc]taylor: Taking taylor expansion of (- m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in l * [misc]taylor: Taking taylor expansion of (- n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in l * [misc]taylor: Taking taylor expansion of (- M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in l * [misc]taylor: Taking taylor expansion of (- m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in l * [misc]taylor: Taking taylor expansion of (- n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in l * [misc]taylor: Taking taylor expansion of (- M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (exp (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))))) into (exp (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M n)) (/ 1 (* m M))))))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M n)) (/ 1 (* m M))))))) in m * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M n)) (/ 1 (* m M)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m n)) in m * [misc]taylor: Taking taylor expansion of (* m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in m * [misc]taylor: Taking taylor expansion of (pow M 2) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M n)) (/ 1 (* m M))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in m * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 (* m M))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in m * [misc]taylor: Taking taylor expansion of (* M n) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* M n) into (* M n) * [misc]backup-simplify: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) * [misc]taylor: Taking taylor expansion of (/ 1 (* m M)) in m * [misc]taylor: Taking taylor expansion of (* m M) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 M) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 M)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]backup-simplify: Simplify (exp (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M n)) (/ 1 (* m M))))))) into (exp (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 l) (+ (/ 1 (* M n)) (/ 1 (* m M))))))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 l) (+ (/ 1 (* M n)) (/ 1 (* m M))))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 l) (+ (/ 1 (* M n)) (/ 1 (* m M)))))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m n)) in n * [misc]taylor: Taking taylor expansion of (* m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* m 0) into 0 * [misc]backup-simplify: Simplify (+ (* m 1) (* 0 0)) into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow m 2)) in n * [misc]taylor: Taking taylor expansion of (pow m 2) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (* m m) into (pow m 2) * [misc]backup-simplify: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 l) (+ (/ 1 (* M n)) (/ 1 (* m M))))) in n * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 (* m M))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (/ 1 (* m M)) in n * [misc]taylor: Taking taylor expansion of (* m M) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* m M) into (* m M) * [misc]backup-simplify: Simplify (/ 1 (* m M)) into (/ 1 (* m M)) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]backup-simplify: Simplify (exp (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 l) (+ (/ 1 (* M n)) (/ 1 (* m M))))))) into (exp (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 l) (+ (/ 1 (* M n)) (/ 1 (* m M))))))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 l) (+ (/ 1 (* M n)) (/ 1 (* m M))))))) in M * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 l) (+ (/ 1 (* M n)) (/ 1 (* m M)))))) in M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m n)) in M * [misc]taylor: Taking taylor expansion of (* m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* m n) into (* m n) * [misc]backup-simplify: Simplify (/ 1 (* m n)) into (/ 1 (* m n)) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in M * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in M * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow m 2)) in M * [misc]taylor: Taking taylor expansion of (pow m 2) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (* m m) into (pow m 2) * [misc]backup-simplify: Simplify (/ 1 (pow m 2)) into (/ 1 (pow m 2)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in M * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in M * [misc]taylor: Taking taylor expansion of (pow n 2) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]taylor: Taking taylor expansion of (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 l) (+ (/ 1 (* M n)) (/ 1 (* m M))))) in M * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 l) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M n)) (/ 1 (* m M))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in M * [misc]taylor: Taking taylor expansion of (* M n) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (* m M)) in M * [misc]taylor: Taking taylor expansion of (* m M) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* m 0) into 0 * [misc]backup-simplify: Simplify (+ (* m 1) (* 0 0)) into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (exp (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 l) (+ (/ 1 (* M n)) (/ 1 (* m M))))))) into (exp (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 l) (+ (/ 1 (* M n)) (/ 1 (* m M))))))) * [misc]backup-simplify: Simplify (exp (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 l) (+ (/ 1 (* M n)) (/ 1 (* m M))))))) into (exp (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 l) (+ (/ 1 (* M n)) (/ 1 (* m M))))))) * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- n))))) (+ (* 1/4 (/ 1 (pow (/ 1 (- m)) 2))) (+ (/ 1 (pow (/ 1 (- M)) 2)) (* 1/4 (/ 1 (pow (/ 1 (- n)) 2)))))) (+ (fabs (- (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- m))))) (+ (/ 1 (/ 1 (- l))) (+ (/ 1 (* (/ 1 (- M)) (/ 1 (- n)))) (/ 1 (* (/ 1 (- m)) (/ 1 (- M))))))))) into (exp (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) (+ (* m M) (+ (* M n) (fabs (- m n)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) in (l m n M) around 0 * [misc]taylor: Taking taylor expansion of (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in M * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in n * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (/ m 2) into (* 1/2 m) * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in m * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (/ n 2) into (* 1/2 n) * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in l * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in l * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in l * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in l * [misc]taylor: Taking taylor expansion of (+ m n) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in l * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in l * [misc]taylor: Taking taylor expansion of (+ m n) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) in l * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in l * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in l * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in l * [misc]taylor: Taking taylor expansion of (+ m n) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (- (/ (+ m n) 2) M) in l * [misc]taylor: Taking taylor expansion of (/ (+ m n) 2) in l * [misc]taylor: Taking taylor expansion of (+ m n) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) (- M)) into (- (+ (* 1/2 m) (* 1/2 n)) M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) (- M)) into (- (+ (* 1/2 m) (* 1/2 n)) M) * [misc]backup-simplify: Simplify (* (- (+ (* 1/2 m) (* 1/2 n)) M) (- (+ (* 1/2 m) (* 1/2 n)) M)) into (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2) * [misc]backup-simplify: Simplify (- (pow (- (+ (* 1/2 m) (* 1/2 n)) M) 2)) into (- (+ (* m M) (* M n)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2)))))) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ (* m M) (* M n)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))))))) into (- (+ (* m M) (+ (* M n) (fabs (- m n)))) (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2)))))) * [misc]backup-simplify: Simplify (- (- (+ (* m M) (+ (* M n) (fabs (- m n)))) (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))))) into (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n)))))) into (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) (+ (* m M) (+ (* M n) (fabs (- m n))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (pow m 2)) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow M 2) (+ (* 1/2 (* m n)) (* 1/4 (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (pow M 2) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* m n)) (* 1/4 (pow n 2))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* m n)) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* 1/4 (pow n 2)) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (+ (* m M) (+ (* M n) (fabs (- m n)))) in m * [misc]taylor: Taking taylor expansion of (* m M) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (+ (* M n) (fabs (- m n))) in m * [misc]taylor: Taking taylor expansion of (* M n) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (* 1/4 (pow n 2)) into (* 1/4 (pow n 2)) * [misc]backup-simplify: Simplify (+ 0 (* 1/4 (pow n 2))) into (* 1/4 (pow n 2)) * [misc]backup-simplify: Simplify (+ (pow M 2) (* 1/4 (pow n 2))) into (+ (pow M 2) (* 1/4 (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (+ (pow M 2) (* 1/4 (pow n 2)))) into (+ (pow M 2) (* 1/4 (pow n 2))) * [misc]backup-simplify: Simplify (* 0 M) into 0 * [misc]backup-simplify: Simplify (* M n) into (* M n) * [misc]backup-simplify: Simplify (+ (* M n) (fabs (- m n))) into (+ (fabs (- m n)) (* M n)) * [misc]backup-simplify: Simplify (+ 0 (+ (fabs (- m n)) (* M n))) into (+ (* M n) (fabs (- m n))) * [misc]backup-simplify: Simplify (- (+ (* M n) (fabs (- m n)))) into (- (+ (fabs (- m n)) (* M n))) * [misc]backup-simplify: Simplify (+ (+ (pow M 2) (* 1/4 (pow n 2))) (- (+ (fabs (- m n)) (* M n)))) into (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n))) * [misc]taylor: Taking taylor expansion of (- (+ (pow M 2) (* 1/4 (pow n 2))) (+ (fabs (- m n)) (* M n))) in n * [misc]taylor: Taking taylor expansion of (+ (pow M 2) (* 1/4 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of (* 1/4 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (fabs (- m n)) (* M n)) in n * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (+ (pow M 2) 0) into (pow M 2) * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (fabs (- m n)) 0) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ (pow M 2) (- (fabs (- m n)))) into (- (pow M 2) (fabs (- m n))) * [misc]taylor: Taking taylor expansion of (- (pow M 2) (fabs (- m n))) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fabs (- m n)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ 0 (- (fabs (- m n)))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (- (fabs (- m n))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ m n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ m n)) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) 0) (* 0 (- (+ (* 1/2 m) (* 1/2 n)) M))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* M 0) (* 0 M)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (+ (* 1/2 n) (* 0 0)) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (pow n 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 n) 0) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 n)) into (* 1/2 n) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 M)) into M * [misc]backup-simplify: Simplify (+ (* M 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ M 0) into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 n) (- M)) into (- (* 1/2 n) M) * [misc]taylor: Taking taylor expansion of (- (* 1/2 n) M) in n * [misc]taylor: Taking taylor expansion of (* 1/2 n) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (* 0 M)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (+ 0 M) into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ 0 (- M)) into (- M) * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ m n)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ m n)) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 m) (* 1/2 n)) M) 0) (+ (* 0 0) (* 0 (- (+ (* 1/2 m) (* 1/2 n)) M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 0) (* 0 M))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 n) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (pow n 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 M))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (* 1/4 (pow (* 1 (* 1 (* m 1))) 2)) (+ (* 1 (* 1 (* 1 (* 1 l)))) (- (fabs (- m n))))) into (- (+ l (* 1/4 (pow m 2))) (fabs (- m n))) * [misc]approximate: Taking taylor expansion of (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in (l m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 l) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in l * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in l * [misc]taylor: Taking taylor expansion of (/ 1 m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in l * [misc]taylor: Taking taylor expansion of (/ 1 m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)))) in l * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M))) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in l * [misc]taylor: Taking taylor expansion of (/ 1 m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in l * [misc]taylor: Taking taylor expansion of (/ 1 m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in m * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 m) (/ 1 n))) (- (/ 1 M))) into (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ (/ 1 m) (/ 1 n))) (- (/ 1 M))) into (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) * [misc]backup-simplify: Simplify (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))) into (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2) * [misc]backup-simplify: Simplify (- (pow (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 2)) into (- (+ (/ 1 (* M n)) (/ 1 (* m M))) (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2))))))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 m) (/ 1 n))) (- (+ (/ 1 (* M n)) (/ 1 (* m M))) (+ (/ 1 (pow M 2)) (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))))) into (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) * [misc]backup-simplify: Simplify (- (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))))) into (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))))) into (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* m M)) (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (/ 1 (* m M)) (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m n)) in m * [misc]taylor: Taking taylor expansion of (* m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in m * [misc]taylor: Taking taylor expansion of (pow M 2) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* m M)) (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (* m M)) in m * [misc]taylor: Taking taylor expansion of (* m M) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 M) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 M)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in m * [misc]taylor: Taking taylor expansion of (* M n) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* M n) into (* M n) * [misc]backup-simplify: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 0) (* 0 (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (+ (/ 1 M) 0) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 0) (+ (* 0 0) (* 0 (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow n 2))) into (/ 1/4 (pow n 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) (/ 1/4 (pow n 2))) into (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) into (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) into (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 M))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))) into (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n))))) into (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (- (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n))))) into (- (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n))))) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (- (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (* 0 M)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow n 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 M) 0) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in M * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)) (* 0 (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))) (/ 1 M))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 0) (* 0 M))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 M))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (fabs (- (/ 1 m) (/ 1 n)))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 m) (/ 1 n)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) (- (fabs (- (/ 1 m) (/ 1 n))))) into (- (/ 1 (pow M 2)) (fabs (- (/ 1 m) (/ 1 n)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow M 2)) (fabs (- (/ 1 m) (/ 1 n)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 m) (/ 1 n))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (/ 1 M)) (* 1 (* (/ 1 (/ 1 m)) 1)))) (+ (* -1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) (* 1 1)))) (* 1 (pow (* (/ 1 (/ 1 M)) (* 1 (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in (l m n M) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in M * [misc]taylor: Taking taylor expansion of (- l) in M * [misc]taylor: Taking taylor expansion of l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in n * [misc]taylor: Taking taylor expansion of (- l) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in m * [misc]taylor: Taking taylor expansion of (- l) in m * [misc]taylor: Taking taylor expansion of l in m * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in l * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in l * [misc]taylor: Taking taylor expansion of (- m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in l * [misc]taylor: Taking taylor expansion of (- n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in l * [misc]taylor: Taking taylor expansion of (- M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in l * [misc]taylor: Taking taylor expansion of (- m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in l * [misc]taylor: Taking taylor expansion of (- n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in l * [misc]taylor: Taking taylor expansion of (- M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 (- m)) (/ 1 (- n)))) (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))))) in l * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 (- m)) (/ 1 (- n)))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (* (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M)))) in l * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in l * [misc]taylor: Taking taylor expansion of (- m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in l * [misc]taylor: Taking taylor expansion of (- n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in l * [misc]taylor: Taking taylor expansion of (- M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]taylor: Taking taylor expansion of (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) in l * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in l * [misc]taylor: Taking taylor expansion of (- m) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in l * [misc]taylor: Taking taylor expansion of (- n) in l * [misc]taylor: Taking taylor expansion of n in l * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 m) (/ 1 n))) 2) into (* -1/2 (+ (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in l * [misc]taylor: Taking taylor expansion of (- M) in l * [misc]taylor: Taking taylor expansion of M in l * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]taylor: Taking taylor expansion of -1 in m * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (/ 1 m) (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) * [misc]backup-simplify: Simplify (- (/ -1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (/ 1 m) (/ 1 n))) (/ 1 M)) into (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) * [misc]backup-simplify: Simplify (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))) into (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2) * [misc]backup-simplify: Simplify (- (pow (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 2)) into (- (+ (/ 1 (* M n)) (/ 1 (* m M))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2))))))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 n) (/ 1 m))) (- (+ (/ 1 (* M n)) (/ 1 (* m M))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (+ (* 1/4 (/ 1 (pow m 2))) (* 1/4 (/ 1 (pow n 2)))))))) into (- (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) * [misc]backup-simplify: Simplify (- (- (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))))) into (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M n)) (/ 1 (* m M))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M n)) (/ 1 (* m M)))))) into (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* m M)) (/ 1 (* M n))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* m M)) (/ 1 (* M n))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 (* m n))) (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in m * [misc]taylor: Taking taylor expansion of 1/2 in m * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m n)) in m * [misc]taylor: Taking taylor expansion of (* m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 n)) into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow m 2))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow m 2)) in m * [misc]taylor: Taking taylor expansion of (pow m 2) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in m * [misc]taylor: Taking taylor expansion of (pow M 2) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/4 in m * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (pow n 2) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (/ 1 (pow n 2)) into (/ 1 (pow n 2)) * [misc]taylor: Taking taylor expansion of (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* m M)) (/ 1 (* M n)))) in m * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* m M)) (/ 1 (* M n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (* m M)) in m * [misc]taylor: Taking taylor expansion of (* m M) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* 0 M) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 M)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in m * [misc]taylor: Taking taylor expansion of (* M n) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (* M n) into (* M n) * [misc]backup-simplify: Simplify (/ 1 (* M n)) into (/ 1 (* M n)) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 0) (* 0 (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 n)) into (/ 1/2 n) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 n) 0) into (* 1/2 (/ 1 n)) * [misc]backup-simplify: Simplify (+ (/ 1 M) 0) into (/ 1 M) * [misc]backup-simplify: Simplify (+ 0 (/ 1 M)) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 n)) (- (/ 1 M))) into (- (* 1/2 (/ 1 n)) (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 n)) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 0) (+ (* 0 0) (* 0 (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 n))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (pow n 2))) into (/ 1/4 (pow n 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) (/ 1/4 (pow n 2))) into (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) into (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) into (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 M))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* M n))) into (/ 1 (* M n)) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (* M n))) into (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (* M n))) * [misc]backup-simplify: Simplify (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (* M n)))) into (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (* M n)))) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 (* M n))))) into (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in n * [misc]taylor: Taking taylor expansion of (pow M 2) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (* M M) into (pow M 2) * [misc]backup-simplify: Simplify (/ 1 (pow M 2)) into (/ 1 (pow M 2)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of 1/4 in n * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow n 2) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M n)) (fabs (- (/ 1 n) (/ 1 m)))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) in n * [misc]taylor: Taking taylor expansion of (* M n) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (+ (* M 1) (* 0 0)) into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1/4 1) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 n)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (* 0 M)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow n 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 M) 0) into (/ 1 M) * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 1 M)) into (- (/ 1 M)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 M))) into (- (/ 1 M)) * [misc]taylor: Taking taylor expansion of (- (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of -1 in M * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 m) (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))) (* 0 (/ 0 (- m))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 n) (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))) (* 0 (/ 0 (- n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 (+ (/ 1 m) (/ 1 n))) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (/ 1 M) (+ (* 1/2 (/ 1 m)) (* 1/2 (/ 1 n))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 n))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 0) (* 0 M))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow M 2)) (/ 0 (pow M 2))) (* 0 (/ 0 (pow M 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow n 2)) (/ 0 (pow n 2))) (* 0 (/ 0 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow n 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 M))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 0) (* 0 n))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* M n)) (/ 0 (* M n))) (* 0 (/ 0 (* M n))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) 0) into (/ 1 (pow M 2)) * [misc]backup-simplify: Simplify (+ (* M 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (fabs (- (/ 1 n) (/ 1 m)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (- (fabs (- (/ 1 n) (/ 1 m)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow M 2)) (- (fabs (- (/ 1 n) (/ 1 m))))) into (- (/ 1 (pow M 2)) (fabs (- (/ 1 n) (/ 1 m)))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow M 2)) (fabs (- (/ 1 n) (/ 1 m)))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in M * [misc]taylor: Taking taylor expansion of (pow M 2) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 n) (/ 1 m))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (* (/ 1 (/ 1 (- M))) (* 1 (* (/ 1 (/ 1 (- m))) 1)))) (+ (* -1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) (* 1 1)))) (* 1 (pow (* (/ 1 (/ 1 (- M))) (* 1 (* 1 1))) 2)))) into (- (pow M 2) (+ (* m M) (* M n))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ m n) 2) M) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 42 * * [misc]simplify: Extracting #3: cost 5 inf + 43 * * [misc]simplify: Extracting #4: cost 3 inf + 45 * * [misc]simplify: Extracting #5: cost 0 inf + 294 * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (pow (- (/ (+ n m) 2) M) (+ 1 1))))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (pow (- (/ (+ m n) 2) M) 2)))))) * * * * [misc]progress: [ 2 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 69 inf + 0 * * [misc]simplify: Extracting #3: cost 92 inf + 453 * * [misc]simplify: Extracting #4: cost 63 inf + 3411 * * [misc]simplify: Extracting #5: cost 9 inf + 13769 * * [misc]simplify: Extracting #6: cost 0 inf + 15725 * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (pow (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) 1)))))) * * * * [misc]progress: [ 3 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ m n) 2) M) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 42 * * [misc]simplify: Extracting #3: cost 5 inf + 43 * * [misc]simplify: Extracting #4: cost 3 inf + 45 * * [misc]simplify: Extracting #5: cost 0 inf + 294 * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (pow (- (/ (+ n m) 2) M) (+ 1 1))))))) * * * * [misc]progress: [ 5 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (/ (+ m n) 2) M)) (log (- (/ (+ m n) 2) M))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 43 * * [misc]simplify: Extracting #6: cost 5 inf + 45 * * [misc]simplify: Extracting #7: cost 0 inf + 722 * [exit]simplify: Simplified to (+ (log (- (/ (+ n m) 2) M)) (log (- (/ (+ n m) 2) M))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (exp (+ (log (- (/ (+ n m) 2) M)) (log (- (/ (+ n m) 2) M))))))))) * * * * [misc]progress: [ 7 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)) (* (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (217 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 106 inf + 1 * * [misc]simplify: Extracting #3: cost 271 inf + 46 * * [misc]simplify: Extracting #4: cost 230 inf + 10026 * * [misc]simplify: Extracting #5: cost 35 inf + 62670 * * [misc]simplify: Extracting #6: cost 0 inf + 73610 * [exit]simplify: Simplified to (* (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (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))))))))) * * * * [misc]progress: [ 10 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 98 inf + 0 * * [misc]simplify: Extracting #3: cost 127 inf + 3 * * [misc]simplify: Extracting #4: cost 139 inf + 973 * * [misc]simplify: Extracting #5: cost 120 inf + 5341 * * [misc]simplify: Extracting #6: cost 21 inf + 33318 * * [misc]simplify: Extracting #7: cost 0 inf + 36356 * * [misc]simplify: Extracting #8: cost 0 inf + 35127 * [exit]simplify: Simplified to (* (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* M (* M M))) (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* M (* M M)))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (/ (* (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* M (* M M))) (- (/ (* (+ n m) (* (+ n m) (+ n m))) 8) (* M (* 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)))))))))) * [enter]simplify: Simplifying (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 32 inf + 0 * * [misc]simplify: Extracting #2: cost 126 inf + 0 * * [misc]simplify: Extracting #3: cost 147 inf + 124 * * [misc]simplify: Extracting #4: cost 155 inf + 167 * * [misc]simplify: Extracting #5: cost 134 inf + 2465 * * [misc]simplify: Extracting #6: cost 51 inf + 24300 * * [misc]simplify: Extracting #7: cost 0 inf + 37984 * * [misc]simplify: Extracting #8: cost 0 inf + 37544 * [exit]simplify: Simplified to (* (+ (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))) (* M M)) (+ (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))) (* M M))) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (/ (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))) (* M M)) (+ (* (/ (+ n m) 2) (+ M (/ (+ n m) 2))) (* M M))))))))) * * * * [misc]progress: [ 14 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 47 inf + 0 * * [misc]simplify: Extracting #2: cost 232 inf + 0 * * [misc]simplify: Extracting #3: cost 380 inf + 45 * * [misc]simplify: Extracting #4: cost 244 inf + 40831 * * [misc]simplify: Extracting #5: cost 23 inf + 104188 * * [misc]simplify: Extracting #6: cost 0 inf + 105481 * * [misc]simplify: Extracting #7: cost 0 inf + 105073 * * [misc]simplify: Extracting #8: cost 0 inf + 105033 * [exit]simplify: Simplified to (- (/ (* (+ n m) (* (/ (+ n m) 4) (+ n m))) (/ 2 (- (* (/ (+ n m) 4) (+ n m)) (* M M)))) (* M (* (* M M) (- (* (/ (+ n m) 4) (+ n m)) (* M M))))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (/ (- (/ (* (+ n m) (* (/ (+ n m) 4) (+ n m))) (/ 2 (- (* (/ (+ n m) 4) (+ n m)) (* M M)))) (* M (* (* M M) (- (* (/ (+ n m) 4) (+ n m)) (* M M))))) (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (/ (+ m n) 2) M)))))))) * [enter]simplify: Simplifying (* (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) (+ (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 32 inf + 0 * * [misc]simplify: Extracting #2: cost 158 inf + 0 * * [misc]simplify: Extracting #3: cost 240 inf + 87 * * [misc]simplify: Extracting #4: cost 173 inf + 12418 * * [misc]simplify: Extracting #5: cost 12 inf + 49186 * * [misc]simplify: Extracting #6: cost 0 inf + 52069 * [exit]simplify: Simplified to (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (* (+ M (/ (+ n m) 2)) M)) (+ M (/ (+ n m) 2))) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (/ (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ (* (/ (+ n m) 2) (/ (+ n m) 2)) (* (+ M (/ (+ n m) 2)) M)) (+ M (/ (+ n m) 2))))))))) * * * * [misc]progress: [ 15 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (302 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 47 inf + 0 * * [misc]simplify: Extracting #2: cost 232 inf + 0 * * [misc]simplify: Extracting #3: cost 380 inf + 126 * * [misc]simplify: Extracting #4: cost 276 inf + 28465 * * [misc]simplify: Extracting #5: cost 17 inf + 97454 * * [misc]simplify: Extracting #6: cost 0 inf + 100740 * [exit]simplify: Simplified to (* (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* (* M M) M)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (/ (* (- (* (/ (+ n m) 2) (* (/ (+ n m) 2) (/ (+ n m) 2))) (* (* M M) M)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))) (* (+ (/ (+ m n) 2) M) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))))))))) * [enter]simplify: Simplifying (* (+ (/ (+ m n) 2) M) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (339 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 36 inf + 0 * * [misc]simplify: Extracting #2: cost 134 inf + 0 * * [misc]simplify: Extracting #3: cost 192 inf + 46 * * [misc]simplify: Extracting #4: cost 140 inf + 11490 * * [misc]simplify: Extracting #5: cost 7 inf + 40150 * * [misc]simplify: Extracting #6: cost 0 inf + 42174 * [exit]simplify: Simplified to (* (+ (* (+ M (/ (+ n m) 2)) (/ (+ n m) 2)) (* M M)) (+ M (/ (+ n m) 2))) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (/ (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (* (+ (* (+ M (/ (+ n m) 2)) (/ (+ n m) 2)) (* M M)) (+ M (/ (+ n m) 2))))))))) * * * * [misc]progress: [ 16 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 36 inf + 0 * * [misc]simplify: Extracting #2: cost 170 inf + 0 * * [misc]simplify: Extracting #3: cost 232 inf + 44 * * [misc]simplify: Extracting #4: cost 172 inf + 10898 * * [misc]simplify: Extracting #5: cost 29 inf + 46146 * * [misc]simplify: Extracting #6: cost 0 inf + 52892 * [exit]simplify: Simplified to (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (/ (* (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M)) (- (* (/ (+ n m) 2) (/ (+ n m) 2)) (* M M))) (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)))))))) * [enter]simplify: Simplifying (* (+ (/ (+ m n) 2) M) (+ (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 48 inf + 0 * * [misc]simplify: Extracting #3: cost 71 inf + 128 * * [misc]simplify: Extracting #4: cost 104 inf + 171 * * [misc]simplify: Extracting #5: cost 74 inf + 3137 * * [misc]simplify: Extracting #6: cost 10 inf + 14930 * * [misc]simplify: Extracting #7: cost 2 inf + 16922 * * [misc]simplify: Extracting #8: cost 0 inf + 17570 * [exit]simplify: Simplified to (* (+ M (/ (+ n m) 2)) (+ M (/ (+ n m) 2))) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (/ (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (* (+ M (/ (+ n m) 2)) (+ M (/ (+ n m) 2))))))))) * * * * [misc]progress: [ 17 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (+ m n) 2) M) (- M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 123 * * [misc]simplify: Extracting #3: cost 26 inf + 413 * * [misc]simplify: Extracting #4: cost 20 inf + 784 * * [misc]simplify: Extracting #5: cost 5 inf + 2265 * * [misc]simplify: Extracting #6: cost 0 inf + 2843 * [exit]simplify: Simplified to (* (- M (/ (+ n m) 2)) M) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (+ (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- M (/ (+ n m) 2)) M))))))) * * * * [misc]progress: [ 19 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (+ m n) 2) M) (- M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 123 * * [misc]simplify: Extracting #3: cost 26 inf + 413 * * [misc]simplify: Extracting #4: cost 20 inf + 784 * * [misc]simplify: Extracting #5: cost 5 inf + 2265 * * [misc]simplify: Extracting #6: cost 0 inf + 2843 * [exit]simplify: Simplified to (* (- M (/ (+ n m) 2)) M) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (+ (* (- (/ (+ m n) 2) M) (/ (+ m n) 2)) (* (- M (/ (+ n m) 2)) M))))))) * * * * [misc]progress: [ 20 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- M) (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 1 * * [misc]simplify: Extracting #3: cost 34 inf + 165 * * [misc]simplify: Extracting #4: cost 15 inf + 1444 * * [misc]simplify: Extracting #5: cost 0 inf + 3175 * [exit]simplify: Simplified to (* M (- M (/ (+ n m) 2))) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (+ (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* M (- M (/ (+ n m) 2))))))))) * * * * [misc]progress: [ 21 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- M) (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 1 * * [misc]simplify: Extracting #3: cost 34 inf + 165 * * [misc]simplify: Extracting #4: cost 15 inf + 1444 * * [misc]simplify: Extracting #5: cost 0 inf + 3175 * [exit]simplify: Simplified to (* M (- M (/ (+ n m) 2))) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (+ (* (/ (+ m n) 2) (- (/ (+ m n) 2) M)) (* M (- M (/ (+ n m) 2))))))))) * * * * [misc]progress: [ 22 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 42 * * [misc]simplify: Extracting #4: cost 6 inf + 43 * * [misc]simplify: Extracting #5: cost 4 inf + 45 * * [misc]simplify: Extracting #6: cost 0 inf + 498 * [exit]simplify: Simplified to (cbrt (- (/ (+ n m) 2) M)) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (* (* (- (/ (+ m n) 2) M) (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M)))) (cbrt (- (/ (+ n m) 2) M)))))))) * * * * [misc]progress: [ 23 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 42 * * [misc]simplify: Extracting #4: cost 6 inf + 43 * * [misc]simplify: Extracting #5: cost 4 inf + 45 * * [misc]simplify: Extracting #6: cost 0 inf + 458 * [exit]simplify: Simplified to (sqrt (- (/ (+ n m) 2) M)) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (* (* (- (/ (+ m n) 2) M) (sqrt (- (/ (+ m n) 2) M))) (sqrt (- (/ (+ n m) 2) M)))))))) * * * * [misc]progress: [ 24 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (+ m n) 2) M) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 42 * * [misc]simplify: Extracting #3: cost 5 inf + 43 * * [misc]simplify: Extracting #4: cost 3 inf + 45 * * [misc]simplify: Extracting #5: cost 0 inf + 294 * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (* (* (- (/ (+ m n) 2) M) 1) (- (/ (+ n m) 2) M))))))) * * * * [misc]progress: [ 25 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 6 inf + 0 * * [misc]simplify: Extracting #4: cost 7 inf + 1 * * [misc]simplify: Extracting #5: cost 7 inf + 43 * * [misc]simplify: Extracting #6: cost 5 inf + 45 * * [misc]simplify: Extracting #7: cost 0 inf + 742 * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (* (* (cbrt (- (/ (+ n m) 2) M)) (cbrt (- (/ (+ n m) 2) M))) (* (cbrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)))))))) * * * * [misc]progress: [ 26 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 5 inf + 42 * * [misc]simplify: Extracting #4: cost 6 inf + 43 * * [misc]simplify: Extracting #5: cost 4 inf + 45 * * [misc]simplify: Extracting #6: cost 0 inf + 458 * [exit]simplify: Simplified to (sqrt (- (/ (+ n m) 2) M)) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (* (sqrt (- (/ (+ n m) 2) M)) (* (sqrt (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M)))))))) * * * * [misc]progress: [ 27 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 33 inf + 0 * * [misc]simplify: Extracting #3: cost 63 inf + 44 * * [misc]simplify: Extracting #4: cost 75 inf + 88 * * [misc]simplify: Extracting #5: cost 22 inf + 5784 * * [misc]simplify: Extracting #6: cost 0 inf + 9747 * * [misc]simplify: Extracting #7: cost 0 inf + 9626 * [exit]simplify: Simplified to (+ (* (+ M (/ (+ n m) 2)) (/ (+ n m) 2)) (* M M)) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (/ (* (- (/ (+ m n) 2) M) (- (pow (/ (+ m n) 2) 3) (pow M 3))) (+ (* (+ M (/ (+ n m) 2)) (/ (+ n m) 2)) (* M M)))))))) * * * * [misc]progress: [ 29 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (+ m n) 2) M) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 4 inf + 1 * * [misc]simplify: Extracting #3: cost 5 inf + 2 * * [misc]simplify: Extracting #4: cost 3 inf + 4 * * [misc]simplify: Extracting #5: cost 0 inf + 253 * [exit]simplify: Simplified to (+ M (/ (+ n m) 2)) * [misc]simplify: Simplified (2 2 1 2 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (/ (* (- (/ (+ m n) 2) M) (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M))) (+ M (/ (+ n m) 2)))))))) * * * * [misc]progress: [ 30 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow (/ (+ m n) 2) 3) (pow M 3)) (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 29 inf + 0 * * [misc]simplify: Extracting #2: cost 111 inf + 0 * * [misc]simplify: Extracting #3: cost 152 inf + 45 * * [misc]simplify: Extracting #4: cost 140 inf + 2935 * * [misc]simplify: Extracting #5: cost 47 inf + 23784 * * [misc]simplify: Extracting #6: cost 1 inf + 34276 * * [misc]simplify: Extracting #7: cost 0 inf + 34340 * [exit]simplify: Simplified to (- (* (/ (+ n m) 2) (* (* (/ (+ n m) 2) (/ (+ n m) 2)) (- (/ (+ n m) 2) M))) (* (* (* M M) M) (- (/ (+ n m) 2) M))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (/ (- (* (/ (+ n m) 2) (* (* (/ (+ n m) 2) (/ (+ n m) 2)) (- (/ (+ n m) 2) M))) (* (* (* M M) M) (- (/ (+ n m) 2) M))) (+ (* (/ (+ m n) 2) (/ (+ m n) 2)) (+ (* M M) (* (/ (+ m n) 2) M))))))))) * * * * [misc]progress: [ 31 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (/ (+ m n) 2) (/ (+ m n) 2)) (* M M)) (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 47 inf + 0 * * [misc]simplify: Extracting #2: cost 158 inf + 0 * * [misc]simplify: Extracting #3: cost 182 inf + 45 * * [misc]simplify: Extracting #4: cost 137 inf + 8587 * * [misc]simplify: Extracting #5: cost 20 inf + 35315 * * [misc]simplify: Extracting #6: cost 0 inf + 39943 * [exit]simplify: Simplified to (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (+ M (/ (+ n m) 2))) * [misc]simplify: Simplified (2 2 1 2 2 1) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (/ (* (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) (+ M (/ (+ n m) 2))) (+ (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 32 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (fabs (- m n))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 22 inf + 0 * * [misc]simplify: Extracting #2: cost 96 inf + 0 * * [misc]simplify: Extracting #3: cost 155 inf + 2 * * [misc]simplify: Extracting #4: cost 167 inf + 548 * * [misc]simplify: Extracting #5: cost 143 inf + 3233 * * [misc]simplify: Extracting #6: cost 35 inf + 28986 * * [misc]simplify: Extracting #7: cost 1 inf + 38495 * * [misc]simplify: Extracting #8: cost 0 inf + 38249 * * [misc]simplify: Extracting #9: cost 0 inf + 38169 * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (K m n M l) (/ 1 (exp (- l (log (exp (- (fabs (- m n)) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))))))) * * * * [misc]progress: [ 34 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (fabs (- m n))) (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 12 inf + 0 * * [misc]simplify: Extracting #2: cost 14 inf + 42 * * [misc]simplify: Extracting #3: cost 16 inf + 43 * * [misc]simplify: Extracting #4: cost 15 inf + 45 * * [misc]simplify: Extracting #5: cost 11 inf + 252 * * [misc]simplify: Extracting #6: cost 2 inf + 1638 * * [misc]simplify: Extracting #7: cost 0 inf + 2046 * [exit]simplify: Simplified to (+ (- (sqrt (fabs (- m n))) M) (/ (+ n m) 2)) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (K m n M l) (/ 1 (exp (- l (* (+ (- (sqrt (fabs (- m n))) M) (/ (+ n m) 2)) (- (sqrt (fabs (- m n))) (- (/ (+ m n) 2) M))))))) * [enter]simplify: Simplifying (- (sqrt (fabs (- m n))) (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 13 inf + 0 * * [misc]simplify: Extracting #2: cost 21 inf + 42 * * [misc]simplify: Extracting #3: cost 25 inf + 43 * * [misc]simplify: Extracting #4: cost 20 inf + 169 * * [misc]simplify: Extracting #5: cost 6 inf + 1604 * * [misc]simplify: Extracting #6: cost 0 inf + 2864 * [exit]simplify: Simplified to (+ (- M (/ (+ n m) 2)) (sqrt (fabs (- m n)))) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (K m n M l) (/ 1 (exp (- l (* (+ (sqrt (fabs (- m n))) (- (/ (+ m n) 2) M)) (+ (- M (/ (+ n m) 2)) (sqrt (fabs (- m n))))))))) * * * * [misc]progress: [ 45 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (+ m n) 2) M) (- M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 123 * * [misc]simplify: Extracting #3: cost 26 inf + 413 * * [misc]simplify: Extracting #4: cost 20 inf + 784 * * [misc]simplify: Extracting #5: cost 5 inf + 2265 * * [misc]simplify: Extracting #6: cost 0 inf + 2843 * [exit]simplify: Simplified to (* (- M (/ (+ n m) 2)) M) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2))) (* (- M (/ (+ n m) 2)) M)))))) * * * * [misc]progress: [ 46 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (+ m n) 2) M) (- M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 123 * * [misc]simplify: Extracting #3: cost 26 inf + 413 * * [misc]simplify: Extracting #4: cost 20 inf + 784 * * [misc]simplify: Extracting #5: cost 5 inf + 2265 * * [misc]simplify: Extracting #6: cost 0 inf + 2843 * [exit]simplify: Simplified to (* (- M (/ (+ n m) 2)) M) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (/ (+ m n) 2))) (* (- M (/ (+ n m) 2)) M)))))) * * * * [misc]progress: [ 47 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- M) (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 1 * * [misc]simplify: Extracting #3: cost 34 inf + 165 * * [misc]simplify: Extracting #4: cost 15 inf + 1444 * * [misc]simplify: Extracting #5: cost 0 inf + 3175 * [exit]simplify: Simplified to (* M (- M (/ (+ n m) 2))) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (- (fabs (- m n)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M))) (* M (- M (/ (+ n m) 2)))))))) * * * * [misc]progress: [ 48 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- M) (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 10 inf + 0 * * [misc]simplify: Extracting #2: cost 30 inf + 1 * * [misc]simplify: Extracting #3: cost 34 inf + 165 * * [misc]simplify: Extracting #4: cost 15 inf + 1444 * * [misc]simplify: Extracting #5: cost 0 inf + 3175 * [exit]simplify: Simplified to (* M (- M (/ (+ n m) 2))) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (- (fabs (- m n)) (* (/ (+ m n) 2) (- (/ (+ m n) 2) M))) (* M (- M (/ (+ n m) 2)))))))) * * * * [misc]progress: [ 49 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))) (cbrt (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 58 inf + 0 * * [misc]simplify: Extracting #4: cost 246 inf + 1 * * [misc]simplify: Extracting #5: cost 300 inf + 126 * * [misc]simplify: Extracting #6: cost 288 inf + 2547 * * [misc]simplify: Extracting #7: cost 111 inf + 39143 * * [misc]simplify: Extracting #8: cost 9 inf + 69414 * * [misc]simplify: Extracting #9: cost 0 inf + 72533 * * [misc]simplify: Extracting #10: cost 0 inf + 72333 * [exit]simplify: Simplified to (exp (* (cbrt (+ (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (+ (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (/ 1 (pow (exp (* (cbrt (+ (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (cbrt (+ (- l (fabs (- m n))) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) (cbrt (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))) * * * * [misc]progress: [ 52 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 59 inf + 0 * * [misc]simplify: Extracting #4: cost 246 inf + 1 * * [misc]simplify: Extracting #5: cost 291 inf + 85 * * [misc]simplify: Extracting #6: cost 278 inf + 1726 * * [misc]simplify: Extracting #7: cost 167 inf + 22196 * * [misc]simplify: Extracting #8: cost 13 inf + 67457 * * [misc]simplify: Extracting #9: cost 0 inf + 68436 * * [misc]simplify: Extracting #10: cost 0 inf + 68236 * [exit]simplify: Simplified to (exp (sqrt (+ (- l (fabs (- m n))) (* (- M (/ (+ m n) 2)) (- M (/ (+ m n) 2)))))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (/ 1 (pow (exp (sqrt (+ (- l (fabs (- m n))) (* (- M (/ (+ m n) 2)) (- M (/ (+ m n) 2)))))) (sqrt (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))) * * * * [misc]progress: [ 53 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (/ 1 (pow E (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 54 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (exp l) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 72 * [exit]simplify: Simplified to (exp l) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (/ 1 (* (exp l) (exp (- (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))) * * * * [misc]progress: [ 55 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 11 inf + 0 * * [misc]simplify: Extracting #2: cost 16 inf + 1 * * [misc]simplify: Extracting #3: cost 16 inf + 2 * * [misc]simplify: Extracting #4: cost 18 inf + 73 * * [misc]simplify: Extracting #5: cost 15 inf + 116 * * [misc]simplify: Extracting #6: cost 14 inf + 158 * * [misc]simplify: Extracting #7: cost 12 inf + 363 * * [misc]simplify: Extracting #8: cost 2 inf + 2360 * * [misc]simplify: Extracting #9: cost 0 inf + 2716 * [exit]simplify: Simplified to (exp (- l (fabs (- m n)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (/ 1 (* (exp (- l (fabs (- m n)))) (exp (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))) * * * * [misc]progress: [ 56 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (exp l) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 72 * [exit]simplify: Simplified to (exp l) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (/ 1 (* (exp l) (exp (- (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))))))) * * * * [misc]progress: [ 57 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (exp l) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 72 * [exit]simplify: Simplified to (exp l) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (/ 1 (/ (exp l) (exp (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 58 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 59 inf + 0 * * [misc]simplify: Extracting #2: cost 256 inf + 1 * * [misc]simplify: Extracting #3: cost 302 inf + 85 * * [misc]simplify: Extracting #4: cost 242 inf + 9822 * * [misc]simplify: Extracting #5: cost 38 inf + 59448 * * [misc]simplify: Extracting #6: cost 0 inf + 70408 * * [misc]simplify: Extracting #7: cost 0 inf + 70248 * [exit]simplify: Simplified to (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 59 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (424 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 26 inf + 0 * * [misc]simplify: Extracting #2: cost 151 inf + 0 * * [misc]simplify: Extracting #3: cost 271 inf + 44 * * [misc]simplify: Extracting #4: cost 225 inf + 7854 * * [misc]simplify: Extracting #5: cost 58 inf + 37239 * * [misc]simplify: Extracting #6: cost 3 inf + 49299 * * [misc]simplify: Extracting #7: cost 0 inf + 49991 * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (/ 1 (exp (- (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2))))))) * * * * [misc]progress: [ 76 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (424 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 26 inf + 0 * * [misc]simplify: Extracting #2: cost 151 inf + 0 * * [misc]simplify: Extracting #3: cost 271 inf + 44 * * [misc]simplify: Extracting #4: cost 225 inf + 7854 * * [misc]simplify: Extracting #5: cost 58 inf + 37239 * * [misc]simplify: Extracting #6: cost 3 inf + 49299 * * [misc]simplify: Extracting #7: cost 0 inf + 49991 * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2))) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (/ 1 (exp (- (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2))))))) * * * * [misc]progress: [ 77 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 23 inf + 0 * * [misc]simplify: Extracting #2: cost 69 inf + 0 * * [misc]simplify: Extracting #3: cost 92 inf + 453 * * [misc]simplify: Extracting #4: cost 63 inf + 3411 * * [misc]simplify: Extracting #5: cost 9 inf + 13769 * * [misc]simplify: Extracting #6: cost 0 inf + 15725 * [exit]simplify: Simplified to (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (/ 1 (exp (+ (- l (fabs (- m n))) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))))) * * * * [misc]progress: [ 78 / 90 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (* 1/4 (pow n 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 7 inf + 0 * * [misc]simplify: Extracting #2: cost 24 inf + 0 * * [misc]simplify: Extracting #3: cost 18 inf + 169 * * [misc]simplify: Extracting #4: cost 3 inf + 1527 * * [misc]simplify: Extracting #5: cost 0 inf + 1978 * [exit]simplify: Simplified to (+ (* m (+ (* 1/2 n) (* 1/4 m))) (* (* n n) 1/4)) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (+ (* m (+ (* 1/2 n) (* 1/4 m))) (* (* n n) 1/4))))))) * * * * [misc]progress: [ 80 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow M 2) (+ (* m M) (* M n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 42 inf + 1 * * [misc]simplify: Extracting #3: cost 30 inf + 538 * * [misc]simplify: Extracting #4: cost 2 inf + 2995 * * [misc]simplify: Extracting #5: cost 0 inf + 3199 * [exit]simplify: Simplified to (* (- (- M n) m) M) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (* (- (- M n) m) M)))))) * * * * [misc]progress: [ 81 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow M 2) (+ (* m M) (* M n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 42 inf + 1 * * [misc]simplify: Extracting #3: cost 30 inf + 538 * * [misc]simplify: Extracting #4: cost 2 inf + 2995 * * [misc]simplify: Extracting #5: cost 0 inf + 3199 * [exit]simplify: Simplified to (* (- (- M n) m) M) * [misc]simplify: Simplified (2 2 1 2 2) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (* (- (- M n) m) M)))))) * * * * [misc]progress: [ 82 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fabs (- m n)) (+ (* 1/2 (* m n)) (* 1/4 (pow m 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 17 inf + 0 * * [misc]simplify: Extracting #2: cost 52 inf + 0 * * [misc]simplify: Extracting #3: cost 44 inf + 170 * * [misc]simplify: Extracting #4: cost 6 inf + 4742 * * [misc]simplify: Extracting #5: cost 0 inf + 5603 * [exit]simplify: Simplified to (- (fabs (- m n)) (* (+ (* 1/4 m) (* n 1/2)) m)) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (* (+ (* 1/4 m) (* n 1/2)) m)))))) * * * * [misc]progress: [ 83 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* m M) (* M n)) (pow M 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 28 inf + 42 * * [misc]simplify: Extracting #3: cost 17 inf + 624 * * [misc]simplify: Extracting #4: cost 0 inf + 2218 * [exit]simplify: Simplified to (* (+ (- n M) m) M) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (/ 1 (exp (- l (* (+ (- n M) m) M))))) * * * * [misc]progress: [ 84 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* m M) (* M n)) (pow M 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 18 inf + 0 * * [misc]simplify: Extracting #2: cost 28 inf + 42 * * [misc]simplify: Extracting #3: cost 17 inf + 624 * * [misc]simplify: Extracting #4: cost 0 inf + 2218 * [exit]simplify: Simplified to (* (+ (- n M) m) M) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (/ 1 (exp (- l (* (+ (- n M) m) M))))) * * * * [misc]progress: [ 85 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (exp (- (fabs (- m n)))) (+ (* (exp (- (fabs (- m n)))) l) (* 1/2 (* (exp (- (fabs (- m n)))) (pow l 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 72 inf + 1 * * [misc]simplify: Extracting #3: cost 79 inf + 212 * * [misc]simplify: Extracting #4: cost 47 inf + 3043 * * [misc]simplify: Extracting #5: cost 39 inf + 3821 * * [misc]simplify: Extracting #6: cost 7 inf + 11091 * * [misc]simplify: Extracting #7: cost 0 inf + 12930 * [exit]simplify: Simplified to (/ (+ (+ 1 (* (* 1/2 l) l)) l) (exp (fabs (- m n)))) * [misc]simplify: Simplified (2 2) to (λ (K m n M l) (/ 1 (/ (+ (+ 1 (* (* 1/2 l) l)) l) (exp (fabs (- m n)))))) * * * * [misc]progress: [ 86 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) (+ (* m M) (+ (* M n) (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 39 inf + 0 * * [misc]simplify: Extracting #2: cost 151 inf + 0 * * [misc]simplify: Extracting #3: cost 259 inf + 462 * * [misc]simplify: Extracting #4: cost 216 inf + 7668 * * [misc]simplify: Extracting #5: cost 118 inf + 33750 * * [misc]simplify: Extracting #6: cost 32 inf + 68200 * * [misc]simplify: Extracting #7: cost 0 inf + 82899 * [exit]simplify: Simplified to (exp (- (+ (+ (* n (+ (* 1/4 n) (* m 1/2))) l) (+ (* M M) (* (* m m) 1/4))) (+ (* M (+ m n)) (fabs (- m n))))) * [misc]simplify: Simplified (2 2) to (λ (K m n M l) (/ 1 (exp (- (+ (+ (* n (+ (* 1/4 n) (* m 1/2))) l) (+ (* M M) (* (* m m) 1/4))) (+ (* M (+ m n)) (fabs (- m n))))))) * * * * [misc]progress: [ 87 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))) (+ (* m M) (+ (* M n) (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 39 inf + 0 * * [misc]simplify: Extracting #2: cost 151 inf + 0 * * [misc]simplify: Extracting #3: cost 259 inf + 462 * * [misc]simplify: Extracting #4: cost 216 inf + 7668 * * [misc]simplify: Extracting #5: cost 118 inf + 33750 * * [misc]simplify: Extracting #6: cost 32 inf + 68200 * * [misc]simplify: Extracting #7: cost 0 inf + 82899 * [exit]simplify: Simplified to (exp (- (+ (+ (* n (+ (* 1/4 n) (* m 1/2))) l) (+ (* M M) (* (* m m) 1/4))) (+ (* M (+ m n)) (fabs (- m n))))) * [misc]simplify: Simplified (2 2) to (λ (K m n M l) (/ 1 (exp (- (+ (+ (* n (+ (* 1/4 n) (* m 1/2))) l) (+ (* M M) (* (* m m) 1/4))) (+ (* M (+ m n)) (fabs (- m n))))))) * * * * [misc]progress: [ 88 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ l (* 1/4 (pow m 2))) (fabs (- m n))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 15 inf + 0 * * [misc]simplify: Extracting #2: cost 19 inf + 1 * * [misc]simplify: Extracting #3: cost 18 inf + 86 * * [misc]simplify: Extracting #4: cost 13 inf + 292 * * [misc]simplify: Extracting #5: cost 9 inf + 661 * * [misc]simplify: Extracting #6: cost 1 inf + 1964 * * [misc]simplify: Extracting #7: cost 0 inf + 2127 * [exit]simplify: Simplified to (- (* (* m 1/4) m) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (/ 1 (exp (- (* (* m 1/4) m) (- (fabs (- m n)) l))))) * * * * [misc]progress: [ 89 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow M 2) (+ (* m M) (* M n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 42 inf + 1 * * [misc]simplify: Extracting #3: cost 30 inf + 538 * * [misc]simplify: Extracting #4: cost 2 inf + 2995 * * [misc]simplify: Extracting #5: cost 0 inf + 3199 * [exit]simplify: Simplified to (* (- (- M n) m) M) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (/ 1 (exp (* (- (- M n) m) M)))) * * * * [misc]progress: [ 90 / 90 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow M 2) (+ (* m M) (* M n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 19 inf + 0 * * [misc]simplify: Extracting #2: cost 42 inf + 1 * * [misc]simplify: Extracting #3: cost 30 inf + 538 * * [misc]simplify: Extracting #4: cost 2 inf + 2995 * * [misc]simplify: Extracting #5: cost 0 inf + 3199 * [exit]simplify: Simplified to (* (- (- M n) m) M) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (/ 1 (exp (* (- (- M n) m) M)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* (+ m n) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ m n) 1) (* 0 0)) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ (* m K) 2) into (* 1/2 (* m K)) * [misc]backup-simplify: Simplify (sin (* 1/2 (* m K))) into (sin (* 1/2 (* m K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* m K))) into (cos (* 1/2 (* m K))) * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (* K n))) 1) into (sin (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (* K n))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 (* K n))) 0) into (sin (* 1/2 (* K n))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* n 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (- (/ K 2) (+ (* (* 1/2 (* K n)) (/ 0 2)))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (cos (* 1/2 (* K n))) K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (cos (* 1/2 (* K n))) K))) into (* 1/2 (* (cos (* 1/2 (* K n))) K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (cos (* 1/2 (* K n))) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (* K n))) K) in n * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1 K) into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (sin (* 1/2 (* K n))) (pow K 2)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* K n)) (/ 0 2)) (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (sin (* 1/2 (* K n))) (pow K 2)))) 0) into (- (* 1/8 (* (sin (* 1/2 (* K n))) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (sin (* 1/2 (* K n))) (pow K 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sin (* 1/2 (* K n))) (pow K 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (* K n))) (pow K 2)) in n * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (pow K 2) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* K K) into (pow K 2) * [misc]backup-simplify: Simplify (* 0 (pow K 2)) into 0 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 (/ 1 m)) (/ 1 (/ 1 n))) (/ 1 K)))) into (sin (* 1/2 (* K (+ m n)))) * [misc]approximate: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 m) (/ 1 n))) -1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- n)))) (/ 1 (- K))))) into (sin (* 1/2 (* K (+ m n)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* (+ m n) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ m n) 1) (* 0 0)) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ (* m K) 2) into (* 1/2 (* m K)) * [misc]backup-simplify: Simplify (cos (* 1/2 (* m K))) into (cos (* 1/2 (* m K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* m K))) into (sin (* 1/2 (* m K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (* K n))) 1) into (cos (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (* K n))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (* K n))) 0) into (cos (* 1/2 (* K n))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* n 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (- (/ K 2) (+ (* (* 1/2 (* K n)) (/ 0 2)))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (sin (* 1/2 (* K n))) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) into (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (sin (* 1/2 (* K n))) K)))) into (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (* 1/2 (* K n))) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (* K n))) K) in n * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* K n)) (/ 0 2)) (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) 0) into (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (* K n))) (pow K 2)) in n * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (pow K 2) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* K K) into (pow K 2) * [misc]backup-simplify: Simplify (* 1 (pow K 2)) into (pow K 2) * [misc]backup-simplify: Simplify (* 1/8 (pow K 2)) into (* 1/8 (pow K 2)) * [misc]backup-simplify: Simplify (- (* 1/8 (pow K 2))) into (- (* 1/8 (pow K 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (pow K 2))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (pow K 2)) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* 1/2 K) K)) into (* 1/2 (pow K 2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1/2 (pow K 2))) (* 0 0)) into (* 1/4 (pow K 2)) * [misc]backup-simplify: Simplify (- (* 1/4 (pow K 2))) into (- (* 1/4 (pow K 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (pow K 2))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (pow K 2)) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (pow K 2))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (pow K 2)) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 (/ 1 m)) (/ 1 (/ 1 n))) (/ 1 K)))) into (cos (* 1/2 (* K (+ m n)))) * [misc]approximate: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 m) (/ 1 n))) -1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- n)))) (/ 1 (- K))))) into (cos (* 1/2 (* K (+ m n)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* (sin (/ (* (+ m n) K) 2)) (sin M)) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ m n) K) 2)) (sin M)) in M * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in M * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in M * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* (+ m n) K) into (* K (+ m n)) * [misc]backup-simplify: Simplify (/ (* K (+ m n)) 2) into (* 1/2 (* K (+ m n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K (+ m n)))) into (sin (* 1/2 (* K (+ m n)))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K (+ m n)))) into (cos (* 1/2 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (sin M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ m n) K) 2)) (sin M)) in K * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* (+ m n) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ m n) 1) (* 0 0)) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of (sin M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ m n) K) 2)) (sin M)) in n * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ (* m K) 2) into (* 1/2 (* m K)) * [misc]backup-simplify: Simplify (sin (* 1/2 (* m K))) into (sin (* 1/2 (* m K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* m K))) into (cos (* 1/2 (* m K))) * [misc]taylor: Taking taylor expansion of (sin M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ m n) K) 2)) (sin M)) in m * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) * [misc]taylor: Taking taylor expansion of (sin M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ m n) K) 2)) (sin M)) in m * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) * [misc]taylor: Taking taylor expansion of (sin M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (* K n))) 1) into (sin (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (* K n))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 (* K n))) 0) into (sin (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (* (sin M) 1) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin M) 0) into (sin M) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (* K n))) (sin M)) into (* (sin (* 1/2 (* K n))) (sin M)) * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (* K n))) (sin M)) in n * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (sin M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 1) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin M) 0) into (sin M) * [misc]backup-simplify: Simplify (* 0 (sin M)) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* n 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (- (/ K 2) (+ (* (* 1/2 (* K n)) (/ 0 2)))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (cos (* 1/2 (* K n))) K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (cos (* 1/2 (* K n))) K))) into (* 1/2 (* (cos (* 1/2 (* K n))) K)) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) 0) (* (* 1/2 (* (cos (* 1/2 (* K n))) K)) (sin M))) into (* 1/2 (* (cos (* 1/2 (* K n))) (* K (sin M)))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (cos (* 1/2 (* K n))) (* K (sin M)))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (* K n))) (* K (sin M))) in n * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* K (sin M)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (sin M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 1) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin M) 0) into (sin M) * [misc]backup-simplify: Simplify (* K (sin M)) into (* K (sin M)) * [misc]backup-simplify: Simplify (* 1 (* K (sin M))) into (* K (sin M)) * [misc]backup-simplify: Simplify (* 1/2 (* K (sin M))) into (* 1/2 (* K (sin M))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* K (sin M))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K (sin M)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 1) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin M) 0) into (sin M) * [misc]backup-simplify: Simplify (* 0 (sin M)) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* 1/2 K) (sin M))) into (* 1/2 (* K (sin M))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* K (sin M))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K (sin M)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 1) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin M) 0) into (sin M) * [misc]backup-simplify: Simplify (* 0 (sin M)) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (sin (* 1/2 (* K n))) (pow K 2)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* K n)) (/ 0 2)) (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (sin (* 1/2 (* K n))) (pow K 2)))) 0) into (- (* 1/8 (* (sin (* 1/2 (* K n))) (pow K 2)))) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) 0) (+ (* (* 1/2 (* (cos (* 1/2 (* K n))) K)) 0) (* (- (* 1/8 (* (sin (* 1/2 (* K n))) (pow K 2)))) (sin M)))) into (- (* 1/8 (* (sin (* 1/2 (* K n))) (* (pow K 2) (sin M))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (sin (* 1/2 (* K n))) (* (pow K 2) (sin M))))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sin (* 1/2 (* K n))) (* (pow K 2) (sin M)))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (* K n))) (* (pow K 2) (sin M))) in n * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* (pow K 2) (sin M)) in n * [misc]taylor: Taking taylor expansion of (pow K 2) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (sin M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (* K K) into (pow K 2) * [misc]backup-simplify: Simplify (* (sin M) 1) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin M) 0) into (sin M) * [misc]backup-simplify: Simplify (* (pow K 2) (sin M)) into (* (pow K 2) (sin M)) * [misc]backup-simplify: Simplify (* 0 (* (pow K 2) (sin M))) into 0 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (sin (/ 1 M))) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (sin (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in M * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in M * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) into (/ (+ (/ 1 m) (/ 1 n)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 m) (/ 1 n)) K) 2) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (sin (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (sin (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (sin (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (sin (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]backup-simplify: Simplify (* (sin (/ 1 M)) 1) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (* (cos (/ 1 M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 M)) 0) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (sin (/ 1 M))) into (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) in n * [misc]taylor: Taking taylor expansion of (sin (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (sin (/ 1 M)) 1) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (* (cos (/ 1 M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 M)) 0) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) into (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) in K * [misc]taylor: Taking taylor expansion of (sin (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (sin (/ 1 M)) 1) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (* (cos (/ 1 M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 M)) 0) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) into (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) in M * [misc]taylor: Taking taylor expansion of (sin (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) K) into (/ (+ (/ 1 m) (/ 1 n)) K) * [misc]backup-simplify: Simplify (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 1) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) into (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) * [misc]backup-simplify: Simplify (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) into (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 (sin (/ 1 M)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 M)) 0) (* 0 (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 M)) 0) (* 0 (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ (+ (/ 1 m) (/ 1 n)) K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (+ (/ 1 m) (/ 1 n)) K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 M)) 0) (* 0 (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (+ (* 0 0) (* 0 (sin (/ 1 M))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 (/ 1 M))) (sin (* 1/2 (/ (+ (/ 1 (/ 1 m)) (/ 1 (/ 1 n))) (/ 1 K))))) into (* (sin (* 1/2 (* K (+ m n)))) (sin M)) * [misc]approximate: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (sin (/ 1 (- M)))) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (sin (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in M * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in M * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 m) (/ 1 n))) (/ -1 K)) into (/ (+ (/ 1 m) (/ 1 n)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 m) (/ 1 n)) K) 2) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- M))) into (sin (/ -1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (sin (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 m) (/ 1 n))) -1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (cos (/ -1 M)) into (cos (/ -1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (sin (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (cos (/ -1 M)) into (cos (/ -1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (sin (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (cos (/ -1 M)) into (cos (/ -1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (sin (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (cos (/ -1 M)) into (cos (/ -1 M)) * [misc]backup-simplify: Simplify (* (sin (/ -1 M)) 1) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (* (cos (/ -1 M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 M)) 0) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (sin (/ -1 M))) into (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) in n * [misc]taylor: Taking taylor expansion of (sin (/ -1 M)) in n * [misc]taylor: Taking taylor expansion of (/ -1 M) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ -1 M) into (/ -1 M) * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (cos (/ -1 M)) into (cos (/ -1 M)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (sin (/ -1 M)) 1) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (* (cos (/ -1 M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 M)) 0) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) into (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) in K * [misc]taylor: Taking taylor expansion of (sin (/ -1 M)) in K * [misc]taylor: Taking taylor expansion of (/ -1 M) in K * [misc]taylor: Taking taylor expansion of -1 in K * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ -1 M) into (/ -1 M) * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (cos (/ -1 M)) into (cos (/ -1 M)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (sin (/ -1 M)) 1) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (* (cos (/ -1 M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 M)) 0) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) into (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) in M * [misc]taylor: Taking taylor expansion of (sin (/ -1 M)) in M * [misc]taylor: Taking taylor expansion of (/ -1 M) in M * [misc]taylor: Taking taylor expansion of -1 in M * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) K) into (/ (+ (/ 1 m) (/ 1 n)) K) * [misc]backup-simplify: Simplify (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 1) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) into (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) * [misc]backup-simplify: Simplify (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) into (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 (sin (/ -1 M)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ -1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) 0) (* 0 (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ -1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) 0) (* 0 (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ (+ (/ 1 m) (/ 1 n)) K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (+ (/ 1 m) (/ 1 n)) K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) 0) (* 0 (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (+ (* 0 0) (* 0 (sin (/ -1 M))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ -1 (/ 1 (- M)))) (sin (* 1/2 (/ (+ (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- n)))) (/ 1 (- K)))))) into (* (sin (* 1/2 (* K (+ m n)))) (sin M)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))) in M * [misc]taylor: Taking taylor expansion of (* (cos (/ (* (+ m n) K) 2)) (cos M)) in M * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in M * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in M * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* (+ m n) K) into (* K (+ m n)) * [misc]backup-simplify: Simplify (/ (* K (+ m n)) 2) into (* 1/2 (* K (+ m n))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K (+ m n)))) into (cos (* 1/2 (* K (+ m n)))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K (+ m n)))) into (sin (* 1/2 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (cos M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ m n) K) 2)) (sin M)) in M * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in M * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in M * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in M * [misc]taylor: Taking taylor expansion of (+ m n) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* (+ m n) K) into (* K (+ m n)) * [misc]backup-simplify: Simplify (/ (* K (+ m n)) 2) into (* 1/2 (* K (+ m n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K (+ m n)))) into (sin (* 1/2 (* K (+ m n)))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K (+ m n)))) into (cos (* 1/2 (* K (+ m n)))) * [misc]taylor: Taking taylor expansion of (sin M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (* (+ m n) K) 2)) (cos M)) in K * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* (+ m n) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ m n) 1) (* 0 0)) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of (cos M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ m n) K) 2)) (sin M)) in K * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* (+ m n) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ m n) 1) (* 0 0)) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of (sin M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))) in n * [misc]taylor: Taking taylor expansion of (* (cos (/ (* (+ m n) K) 2)) (cos M)) in n * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ (* m K) 2) into (* 1/2 (* m K)) * [misc]backup-simplify: Simplify (cos (* 1/2 (* m K))) into (cos (* 1/2 (* m K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* m K))) into (sin (* 1/2 (* m K))) * [misc]taylor: Taking taylor expansion of (cos M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ m n) K) 2)) (sin M)) in n * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ (* m K) 2) into (* 1/2 (* m K)) * [misc]backup-simplify: Simplify (sin (* 1/2 (* m K))) into (sin (* 1/2 (* m K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* m K))) into (cos (* 1/2 (* m K))) * [misc]taylor: Taking taylor expansion of (sin M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))) in m * [misc]taylor: Taking taylor expansion of (* (cos (/ (* (+ m n) K) 2)) (cos M)) in m * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) * [misc]taylor: Taking taylor expansion of (cos M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ m n) K) 2)) (sin M)) in m * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) * [misc]taylor: Taking taylor expansion of (sin M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))) in m * [misc]taylor: Taking taylor expansion of (* (cos (/ (* (+ m n) K) 2)) (cos M)) in m * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) * [misc]taylor: Taking taylor expansion of (cos M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ m n) K) 2)) (sin M)) in m * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) * [misc]taylor: Taking taylor expansion of (sin M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (* K n))) 1) into (cos (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (* K n))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (* K n))) 0) into (cos (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (* (cos M) 1) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos M) 0) into (cos M) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (* K n))) (cos M)) into (* (cos (* 1/2 (* K n))) (cos M)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (* K n))) 1) into (sin (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (* K n))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 (* K n))) 0) into (sin (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (* (sin M) 1) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin M) 0) into (sin M) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (* K n))) (sin M)) into (* (sin (* 1/2 (* K n))) (sin M)) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) (cos M)) (* (sin (* 1/2 (* K n))) (sin M))) into (+ (* (sin (* 1/2 (* K n))) (sin M)) (* (cos (* 1/2 (* K n))) (cos M))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (* 1/2 (* K n))) (sin M)) (* (cos (* 1/2 (* K n))) (cos M))) in n * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (* K n))) (sin M)) in n * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (sin M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (* K n))) (cos M)) in n * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (cos M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (* (sin M) 1) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin M) 0) into (sin M) * [misc]backup-simplify: Simplify (* 0 (sin M)) into 0 * [misc]backup-simplify: Simplify (* (cos M) 1) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos M) 0) into (cos M) * [misc]backup-simplify: Simplify (* 1 (cos M)) into (cos M) * [misc]backup-simplify: Simplify (+ 0 (cos M)) into (cos M) * [misc]taylor: Taking taylor expansion of (cos M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 1) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos M) 0) into (cos M) * [misc]taylor: Taking taylor expansion of (cos M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* n 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (- (/ K 2) (+ (* (* 1/2 (* K n)) (/ 0 2)))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (sin (* 1/2 (* K n))) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) into (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (sin (* 1/2 (* K n))) K)))) into (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) 0) (* (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) (cos M))) into (- (* 1/2 (* (sin (* 1/2 (* K n))) (* K (cos M))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* n 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (- (/ K 2) (+ (* (* 1/2 (* K n)) (/ 0 2)))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (cos (* 1/2 (* K n))) K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (cos (* 1/2 (* K n))) K))) into (* 1/2 (* (cos (* 1/2 (* K n))) K)) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) 0) (* (* 1/2 (* (cos (* 1/2 (* K n))) K)) (sin M))) into (* 1/2 (* (cos (* 1/2 (* K n))) (* K (sin M)))) * [misc]backup-simplify: Simplify (+ (- (* 1/2 (* (sin (* 1/2 (* K n))) (* K (cos M))))) (* 1/2 (* (cos (* 1/2 (* K n))) (* K (sin M))))) into (- (* 1/2 (* (cos (* 1/2 (* K n))) (* K (sin M)))) (* 1/2 (* (sin (* 1/2 (* K n))) (* K (cos M))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (cos (* 1/2 (* K n))) (* K (sin M)))) (* 1/2 (* (sin (* 1/2 (* K n))) (* K (cos M))))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (cos (* 1/2 (* K n))) (* K (sin M)))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (* K n))) (* K (sin M))) in n * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* K (sin M)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (sin M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (* 1/2 (* K n))) (* K (cos M)))) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (* K n))) (* K (cos M))) in n * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* K (cos M)) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (cos M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (* (sin M) 1) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin M) 0) into (sin M) * [misc]backup-simplify: Simplify (* K (sin M)) into (* K (sin M)) * [misc]backup-simplify: Simplify (* 1 (* K (sin M))) into (* K (sin M)) * [misc]backup-simplify: Simplify (* 1/2 (* K (sin M))) into (* 1/2 (* K (sin M))) * [misc]backup-simplify: Simplify (* (cos M) 1) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos M) 0) into (cos M) * [misc]backup-simplify: Simplify (* K (cos M)) into (* K (cos M)) * [misc]backup-simplify: Simplify (* 0 (* K (cos M))) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* K (sin M))) 0) into (* 1/2 (* K (sin M))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* K (sin M))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K (sin M)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 1) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin M) 0) into (sin M) * [misc]backup-simplify: Simplify (* 0 (sin M)) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* 1/2 K) (sin M))) into (* 1/2 (* K (sin M))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (cos M))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* K (sin M))) 0) into (* 1/2 (* K (sin M))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* K (sin M))) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K (sin M)) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 1) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin M) 0) into (sin M) * [misc]backup-simplify: Simplify (* 0 (sin M)) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* K n)) (/ 0 2)) (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) 0) into (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) 0) (+ (* (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) 0) (* (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) (cos M)))) into (- (* 1/8 (* (cos (* 1/2 (* K n))) (* (pow K 2) (cos M))))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (sin (* 1/2 (* K n))) (pow K 2)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* K n)) (/ 0 2)) (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (sin (* 1/2 (* K n))) (pow K 2)))) 0) into (- (* 1/8 (* (sin (* 1/2 (* K n))) (pow K 2)))) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) 0) (+ (* (* 1/2 (* (cos (* 1/2 (* K n))) K)) 0) (* (- (* 1/8 (* (sin (* 1/2 (* K n))) (pow K 2)))) (sin M)))) into (- (* 1/8 (* (sin (* 1/2 (* K n))) (* (pow K 2) (sin M))))) * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos (* 1/2 (* K n))) (* (pow K 2) (cos M))))) (- (* 1/8 (* (sin (* 1/2 (* K n))) (* (pow K 2) (sin M)))))) into (- (+ (* 1/8 (* (cos (* 1/2 (* K n))) (* (pow K 2) (cos M)))) (* 1/8 (* (sin (* 1/2 (* K n))) (* (pow K 2) (sin M)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (cos (* 1/2 (* K n))) (* (pow K 2) (cos M)))) (* 1/8 (* (sin (* 1/2 (* K n))) (* (pow K 2) (sin M)))))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (* 1/2 (* K n))) (* (pow K 2) (cos M)))) (* 1/8 (* (sin (* 1/2 (* K n))) (* (pow K 2) (sin M))))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (* 1/2 (* K n))) (* (pow K 2) (cos M)))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (* K n))) (* (pow K 2) (cos M))) in n * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* (pow K 2) (cos M)) in n * [misc]taylor: Taking taylor expansion of (pow K 2) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (cos M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sin (* 1/2 (* K n))) (* (pow K 2) (sin M)))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (* K n))) (* (pow K 2) (sin M))) in n * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* (pow K 2) (sin M)) in n * [misc]taylor: Taking taylor expansion of (pow K 2) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of (sin M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (* K K) into (pow K 2) * [misc]backup-simplify: Simplify (* (cos M) 1) into (cos M) * [misc]backup-simplify: Simplify (* (sin M) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos M) 0) into (cos M) * [misc]backup-simplify: Simplify (* (pow K 2) (cos M)) into (* (pow K 2) (cos M)) * [misc]backup-simplify: Simplify (* 1 (* (pow K 2) (cos M))) into (* (pow K 2) (cos M)) * [misc]backup-simplify: Simplify (* 1/8 (* (pow K 2) (cos M))) into (* 1/8 (* (pow K 2) (cos M))) * [misc]backup-simplify: Simplify (* K K) into (pow K 2) * [misc]backup-simplify: Simplify (* (sin M) 1) into (sin M) * [misc]backup-simplify: Simplify (* (cos M) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin M) 0) into (sin M) * [misc]backup-simplify: Simplify (* (pow K 2) (sin M)) into (* (pow K 2) (sin M)) * [misc]backup-simplify: Simplify (* 0 (* (pow K 2) (sin M))) into 0 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (* (pow K 2) (cos M))) 0) into (* 1/8 (* (pow K 2) (cos M))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (pow K 2) (cos M)))) into (- (* 1/8 (* (pow K 2) (cos M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos M)))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos M))) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow K 2) (cos M)) in K * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 0) (* 0 (sin M))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (* K (sin M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* K (sin M)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 0) (* 0 (cos M))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* 1/2 K) (* K (cos M)))) into (* 1/2 (* (pow K 2) (cos M))) * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1/2 (* (pow K 2) (cos M)))) (* 0 0)) into (* 1/4 (* (pow K 2) (cos M))) * [misc]backup-simplify: Simplify (- (* 1/4 (* (pow K 2) (cos M)))) into (- (* 1/4 (* (pow K 2) (cos M)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/4 (* (pow K 2) (cos M))))) into (- (* 1/4 (* (pow K 2) (cos M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (* (pow K 2) (cos M)))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (* (pow K 2) (cos M))) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (pow K 2) (cos M)) in K * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 K) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* 1/2 K) 0) (* 0 (sin M)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- (* 1/8 (pow K 2))) (cos M)))) into (- (* 1/8 (* (pow K 2) (cos M)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/8 (* (pow K 2) (cos M))))) into (- (* 1/8 (* (pow K 2) (cos M)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (pow K 2) (cos M)))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow K 2) (cos M))) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow K 2) (cos M)) in K * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (cos M) into (cos M) * [misc]backup-simplify: Simplify (sin M) into (sin M) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin M))) into (sin M) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin M)) (* 0 0)) into (* 1/2 (sin M)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sin M)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin M) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos M) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin M))) into (sin M) * [misc]backup-simplify: Simplify (+ (* 1/2 (sin M)) (* 0 0)) into (* 1/2 (sin M)) * [misc]taylor: Taking taylor expansion of (* 1/2 (sin M)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sin M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (+ (* (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (cos (/ 1 M))) (* (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (sin (/ 1 M)))) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (cos (/ 1 M))) (* (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (sin (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of (* (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (cos (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in M * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in M * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) into (/ (+ (/ 1 m) (/ 1 n)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 m) (/ 1 n)) K) 2) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (sin (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in M * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in M * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) into (/ (+ (/ 1 m) (/ 1 n)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 m) (/ 1 n)) K) 2) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (cos (/ 1 M))) (* (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (sin (/ 1 M)))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (cos (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (sin (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (cos (/ 1 M))) (* (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (sin (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (* (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (cos (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (sin (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (cos (/ 1 M))) (* (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (sin (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (* (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (cos (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (sin (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (cos (/ 1 M))) (* (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (sin (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (* (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (cos (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) (sin (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ 1 M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]backup-simplify: Simplify (* (cos (/ 1 M)) 1) into (cos (/ 1 M)) * [misc]backup-simplify: Simplify (* (sin (/ 1 M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 M)) 0) into (cos (/ 1 M)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) into (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) * [misc]backup-simplify: Simplify (* (sin (/ 1 M)) 1) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (* (cos (/ 1 M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 M)) 0) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (sin (/ 1 M))) into (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) into (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) * [misc]taylor: Taking taylor expansion of (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) in n * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) in n * [misc]taylor: Taking taylor expansion of (sin (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ 1 M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (cos (/ 1 M)) 1) into (cos (/ 1 M)) * [misc]backup-simplify: Simplify (* (sin (/ 1 M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 M)) 0) into (cos (/ 1 M)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) into (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) * [misc]backup-simplify: Simplify (* (sin (/ 1 M)) 1) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (* (cos (/ 1 M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 M)) 0) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) into (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) into (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) * [misc]taylor: Taking taylor expansion of (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) in K * [misc]taylor: Taking taylor expansion of (sin (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ 1 M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ 1 M) into (/ 1 M) * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (cos (/ 1 M)) 1) into (cos (/ 1 M)) * [misc]backup-simplify: Simplify (* (sin (/ 1 M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 M)) 0) into (cos (/ 1 M)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) into (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) * [misc]backup-simplify: Simplify (* (sin (/ 1 M)) 1) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (* (cos (/ 1 M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ 1 M)) 0) into (sin (/ 1 M)) * [misc]backup-simplify: Simplify (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) into (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) into (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) * [misc]taylor: Taking taylor expansion of (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) in M * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) K) into (/ (+ (/ 1 m) (/ 1 n)) K) * [misc]backup-simplify: Simplify (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 M)) into (cos (/ 1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) in M * [misc]taylor: Taking taylor expansion of (sin (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ 1 M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 M)) into (sin (/ 1 M)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) K) into (/ (+ (/ 1 m) (/ 1 n)) K) * [misc]backup-simplify: Simplify (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 1) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) into (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 1) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) into (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) into (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) into (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ 1 M))) (* (sin (/ 1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 (cos (/ 1 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 (sin (/ 1 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 (cos (/ 1 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 M)) 0) (* 0 (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 (cos (/ 1 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 M)) 0) (* 0 (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ (+ (/ 1 m) (/ 1 n)) K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (+ (/ 1 m) (/ 1 n)) K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 (cos (/ 1 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ (+ (/ 1 m) (/ 1 n)) K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (+ (/ 1 m) (/ 1 n)) K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 M)) 0) (* 0 (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (+ (* 0 0) (* 0 (cos (/ 1 M))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (+ (* 0 0) (* 0 (sin (/ 1 M))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 (/ 1 m)) (/ 1 (/ 1 n))) (/ 1 K)))) (cos (/ 1 (/ 1 M)))) (* (sin (/ 1 (/ 1 M))) (sin (* 1/2 (/ (+ (/ 1 (/ 1 m)) (/ 1 (/ 1 n))) (/ 1 K)))))) into (+ (* (sin (* 1/2 (* K (+ m n)))) (sin M)) (* (cos (* 1/2 (* K (+ m n)))) (cos M))) * [misc]approximate: Taking taylor expansion of (+ (* (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (cos (/ 1 (- M)))) (* (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (sin (/ 1 (- M))))) in (m n K M) around 0 * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (cos (/ 1 (- M)))) (* (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (sin (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of (* (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (cos (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in M * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in M * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 m) (/ 1 n))) (/ -1 K)) into (/ (+ (/ 1 m) (/ 1 n)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 m) (/ 1 n)) K) 2) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- M))) into (cos (/ -1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (sin (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in M * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in M * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in M * [misc]taylor: Taking taylor expansion of (- m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in M * [misc]taylor: Taking taylor expansion of (- n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in M * [misc]taylor: Taking taylor expansion of (- K) in M * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in M * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 m) (/ 1 n))) (/ -1 K)) into (/ (+ (/ 1 m) (/ 1 n)) K) * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 m) (/ 1 n)) K) 2) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in M * [misc]taylor: Taking taylor expansion of (- M) in M * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- M))) into (sin (/ -1 M)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (cos (/ 1 (- M)))) (* (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (sin (/ 1 (- M))))) in K * [misc]taylor: Taking taylor expansion of (* (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (cos (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 m) (/ 1 n))) -1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (cos (/ -1 M)) into (cos (/ -1 M)) * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (sin (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 m) (/ 1 n))) -1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in K * [misc]taylor: Taking taylor expansion of (- M) in K * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (cos (/ -1 M)) into (cos (/ -1 M)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (cos (/ 1 (- M)))) (* (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (sin (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of (* (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (cos (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (cos (/ -1 M)) into (cos (/ -1 M)) * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (sin (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in n * [misc]taylor: Taking taylor expansion of (- M) in n * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (cos (/ -1 M)) into (cos (/ -1 M)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (cos (/ 1 (- M)))) (* (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (sin (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (* (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (cos (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (cos (/ -1 M)) into (cos (/ -1 M)) * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (sin (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (cos (/ -1 M)) into (cos (/ -1 M)) * [misc]taylor: Taking taylor expansion of (+ (* (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (cos (/ 1 (- M)))) (* (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (sin (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (* (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (cos (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (cos (/ -1 M)) into (cos (/ -1 M)) * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]taylor: Taking taylor expansion of (* (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) (sin (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- M)) in m * [misc]taylor: Taking taylor expansion of (- M) in m * [misc]taylor: Taking taylor expansion of M in m * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (/ 1 (- M)) into (/ -1 M) * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (cos (/ -1 M)) into (cos (/ -1 M)) * [misc]backup-simplify: Simplify (* (cos (/ -1 M)) 1) into (cos (/ -1 M)) * [misc]backup-simplify: Simplify (* (sin (/ -1 M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 M)) 0) into (cos (/ -1 M)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M))) into (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M))) * [misc]backup-simplify: Simplify (* (sin (/ -1 M)) 1) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (* (cos (/ -1 M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 M)) 0) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (sin (/ -1 M))) into (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M))) (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) into (+ (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M)))) in n * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) in n * [misc]taylor: Taking taylor expansion of (sin (/ -1 M)) in n * [misc]taylor: Taking taylor expansion of (/ -1 M) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ -1 M) into (/ -1 M) * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (cos (/ -1 M)) into (cos (/ -1 M)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M))) in n * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ -1 M)) in n * [misc]taylor: Taking taylor expansion of (/ -1 M) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of M in n * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ -1 M) into (/ -1 M) * [misc]backup-simplify: Simplify (cos (/ -1 M)) into (cos (/ -1 M)) * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (* (sin (/ -1 M)) 1) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (* (cos (/ -1 M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 M)) 0) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) into (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) * [misc]backup-simplify: Simplify (* (cos (/ -1 M)) 1) into (cos (/ -1 M)) * [misc]backup-simplify: Simplify (* (sin (/ -1 M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 M)) 0) into (cos (/ -1 M)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M))) into (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M)))) into (+ (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M)))) in K * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) in K * [misc]taylor: Taking taylor expansion of (sin (/ -1 M)) in K * [misc]taylor: Taking taylor expansion of (/ -1 M) in K * [misc]taylor: Taking taylor expansion of -1 in K * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ -1 M) into (/ -1 M) * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (cos (/ -1 M)) into (cos (/ -1 M)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M))) in K * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ -1 M)) in K * [misc]taylor: Taking taylor expansion of (/ -1 M) in K * [misc]taylor: Taking taylor expansion of -1 in K * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of M in K * [misc]backup-simplify: Simplify M into M * [misc]backup-simplify: Simplify (/ -1 M) into (/ -1 M) * [misc]backup-simplify: Simplify (cos (/ -1 M)) into (cos (/ -1 M)) * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (* (sin (/ -1 M)) 1) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (* (cos (/ -1 M)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ -1 M)) 0) into (sin (/ -1 M)) * [misc]backup-simplify: Simplify (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) into (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) * [misc]backup-simplify: Simplify (* (cos (/ -1 M)) 1) into (cos (/ -1 M)) * [misc]backup-simplify: Simplify (* (sin (/ -1 M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 M)) 0) into (cos (/ -1 M)) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M))) into (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M)))) into (+ (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M)))) * [misc]taylor: Taking taylor expansion of (+ (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M)))) in M * [misc]taylor: Taking taylor expansion of (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) in M * [misc]taylor: Taking taylor expansion of (sin (/ -1 M)) in M * [misc]taylor: Taking taylor expansion of (/ -1 M) in M * [misc]taylor: Taking taylor expansion of -1 in M * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sin (/ -1 M)) into (sin (/ -1 M)) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) K) into (/ (+ (/ 1 m) (/ 1 n)) K) * [misc]backup-simplify: Simplify (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M))) in M * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in M * [misc]taylor: Taking taylor expansion of 1/2 in M * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in M * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in M * [misc]taylor: Taking taylor expansion of (/ 1 m) in M * [misc]taylor: Taking taylor expansion of m in M * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in M * [misc]taylor: Taking taylor expansion of n in M * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in M * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) K) into (/ (+ (/ 1 m) (/ 1 n)) K) * [misc]backup-simplify: Simplify (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) into (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ -1 M)) in M * [misc]taylor: Taking taylor expansion of (/ -1 M) in M * [misc]taylor: Taking taylor expansion of -1 in M * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of M in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (cos (/ -1 M)) into (cos (/ -1 M)) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 1) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) into (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 1) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M))) into (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M)))) into (+ (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M)))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M)))) into (+ (* (sin (/ -1 M)) (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)))) (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) (cos (/ -1 M)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 (cos (/ -1 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 (sin (/ -1 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ -1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) 0) (* 0 (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ -1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 (cos (/ -1 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ -1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) 0) (* 0 (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 M)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 M) (+ (* (/ -1 M) (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 (cos (/ -1 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ (+ (/ 1 m) (/ 1 n)) K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (+ (/ 1 m) (/ 1 n)) K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) 0) (* 0 (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 m) (/ 0 m)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 K) (+ (* (/ (+ (/ 1 m) (/ 1 n)) K) (/ 0 K)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (+ (/ 1 m) (/ 1 n)) K))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (* 0 (cos (/ -1 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (+ (* 0 0) (* 0 (cos (/ -1 M))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 M)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 M) (/ 0 (- M))) (* 0 (/ 0 (- M))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 M)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) 0) (+ (* 0 0) (* 0 (sin (/ -1 M))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 (/ 1 (- M)))) (sin (* 1/2 (/ (+ (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- n)))) (/ 1 (- K)))))) (* (cos (* 1/2 (/ (+ (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- n)))) (/ 1 (- K))))) (cos (/ -1 (/ 1 (- M)))))) into (+ (* (sin (* 1/2 (* K (+ m n)))) (sin M)) (* (cos (* 1/2 (* K (+ m n)))) (cos M))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- (/ (* (+ m n) K) 2) M)) (cos (+ (/ (* (+ m n) K) 2) M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 6 inf + 0 * * [misc]simplify: Extracting #3: cost 21 inf + 0 * * [misc]simplify: Extracting #4: cost 31 inf + 42 * * [misc]simplify: Extracting #5: cost 26 inf + 88 * * [misc]simplify: Extracting #6: cost 14 inf + 1083 * * [misc]simplify: Extracting #7: cost 1 inf + 3240 * * [misc]simplify: Extracting #8: cost 0 inf + 3605 * [exit]simplify: Simplified to (- (cos (- (* (/ (+ n m) 2) K) M)) (cos (+ M (* (/ (+ n m) 2) K)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (K m n M l) (/ (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (/ (- (cos (- (* (/ (+ n m) 2) K) M)) (cos (+ M (* (/ (+ n m) 2) K)))) 2)) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 16 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (/ (* (+ m n) K) 2)) (sin M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 1 * * [misc]simplify: Extracting #4: cost 14 inf + 106 * * [misc]simplify: Extracting #5: cost 11 inf + 150 * * [misc]simplify: Extracting #6: cost 1 inf + 999 * * [misc]simplify: Extracting #7: cost 0 inf + 1284 * [exit]simplify: Simplified to (* (sin M) (sin (/ (+ n m) (/ 2 K)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (K m n M l) (/ (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (pow (* (sin M) (sin (/ (+ n m) (/ 2 K)))) 1)) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 17 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin (/ (* (+ m n) K) 2))) (log (sin M))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 7 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 193 * * [misc]simplify: Extracting #5: cost 16 inf + 195 * * [misc]simplify: Extracting #6: cost 10 inf + 406 * * [misc]simplify: Extracting #7: cost 2 inf + 1130 * * [misc]simplify: Extracting #8: cost 0 inf + 1809 * [exit]simplify: Simplified to (+ (log (sin (* (+ n m) (/ K 2)))) (log (sin M))) * [misc]simplify: Simplified (2 1 2 1) to (λ (K m n M l) (/ (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (exp (+ (log (sin (* (+ n m) (/ K 2)))) (log (sin M))))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 19 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin (/ (* (+ m n) K) 2)) (sin (/ (* (+ m n) K) 2))) (sin (/ (* (+ m n) K) 2))) (* (* (sin M) (sin M)) (sin M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 16 inf + 0 * * [misc]simplify: Extracting #2: cost 17 inf + 1 * * [misc]simplify: Extracting #3: cost 24 inf + 335 * * [misc]simplify: Extracting #4: cost 24 inf + 349 * * [misc]simplify: Extracting #5: cost 21 inf + 393 * * [misc]simplify: Extracting #6: cost 6 inf + 2745 * * [misc]simplify: Extracting #7: cost 0 inf + 4815 * [exit]simplify: Simplified to (* (* (* (sin M) (sin (* (+ n m) (/ K 2)))) (* (sin M) (sin (* (+ n m) (/ K 2))))) (* (sin M) (sin (* (+ n m) (/ K 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (K m n M l) (/ (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (cbrt (* (* (* (sin M) (sin (* (+ n m) (/ K 2)))) (* (sin M) (sin (* (+ n m) (/ K 2))))) (* (sin M) (sin (* (+ n m) (/ K 2))))))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 22 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin M)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 203 * [exit]simplify: Simplified to (cbrt (sin M)) * [misc]simplify: Simplified (2 1 2 2) to (λ (K m n M l) (/ (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (* (sin (/ (* (+ m n) K) 2)) (* (cbrt (sin M)) (cbrt (sin M)))) (cbrt (sin M)))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 27 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin M)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 2 inf + 1 * * [misc]simplify: Extracting #4: cost 0 inf + 163 * [exit]simplify: Simplified to (sqrt (sin M)) * [misc]simplify: Simplified (2 1 2 2) to (λ (K m n M l) (/ (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (* (sin (/ (* (+ m n) K) 2)) (sqrt (sin M))) (sqrt (sin M)))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 28 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sin M) * * [misc]simplify: iters left: 1 (2 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 1 inf + 1 * * [misc]simplify: Extracting #3: cost 0 inf + 62 * [exit]simplify: Simplified to (sin M) * [misc]simplify: Simplified (2 1 2 2) to (λ (K m n M l) (/ (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (* (sin (/ (* (+ m n) K) 2)) 1) (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 29 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin (/ (* (+ m n) K) 2))) (cbrt (sin (/ (* (+ m n) K) 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 4 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 0 * * [misc]simplify: Extracting #5: cost 16 inf + 2 * * [misc]simplify: Extracting #6: cost 12 inf + 88 * * [misc]simplify: Extracting #7: cost 2 inf + 937 * * [misc]simplify: Extracting #8: cost 0 inf + 1505 * [exit]simplify: Simplified to (* (cbrt (sin (* (+ n m) (/ K 2)))) (cbrt (sin (* (+ n m) (/ K 2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (K m n M l) (/ (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (* (cbrt (sin (* (+ n m) (/ K 2)))) (cbrt (sin (* (+ n m) (/ K 2))))) (* (cbrt (sin (/ (* (+ m n) K) 2))) (sin M)))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 30 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (/ (* (+ m n) K) 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 3 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 13 inf + 86 * * [misc]simplify: Extracting #5: cost 8 inf + 296 * * [misc]simplify: Extracting #6: cost 1 inf + 937 * * [misc]simplify: Extracting #7: cost 0 inf + 1161 * [exit]simplify: Simplified to (sqrt (sin (* (/ K 2) (+ n m)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (K m n M l) (/ (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sqrt (sin (* (/ K 2) (+ n m)))) (* (sqrt (sin (/ (* (+ m n) K) 2))) (sin M)))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 31 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (* (cos (/ (* (+ m n) K) 2)) (cos M))) (exp (* (sin (/ (* (+ m n) K) 2)) (sin M)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 4 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 13 inf + 0 * * [misc]simplify: Extracting #4: cost 11 inf + 123 * * [misc]simplify: Extracting #5: cost 21 inf + 123 * * [misc]simplify: Extracting #6: cost 23 inf + 125 * * [misc]simplify: Extracting #7: cost 18 inf + 294 * * [misc]simplify: Extracting #8: cost 8 inf + 1244 * * [misc]simplify: Extracting #9: cost 0 inf + 4072 * [exit]simplify: Simplified to (exp (+ (* (cos M) (cos (* (+ n m) (/ K 2)))) (* (sin M) (sin (* (+ n m) (/ K 2)))))) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (/ (log (exp (+ (* (cos M) (cos (* (+ n m) (/ K 2)))) (* (sin M) (sin (* (+ n m) (/ K 2))))))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 34 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (cos (+ (/ (* (+ m n) K) 2) M)) (cos (- (/ (* (+ m n) K) 2) M))) 2) (* 2 (- (cos (- (/ (* (+ m n) K) 2) M)) (cos (+ (/ (* (+ m n) K) 2) M))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 28 inf + 0 * * [misc]simplify: Extracting #2: cost 138 inf + 3 * * [misc]simplify: Extracting #3: cost 165 inf + 4 * * [misc]simplify: Extracting #4: cost 179 inf + 5 * * [misc]simplify: Extracting #5: cost 111 inf + 19169 * * [misc]simplify: Extracting #6: cost 6 inf + 55502 * * [misc]simplify: Extracting #7: cost 0 inf + 58092 * [exit]simplify: Simplified to (* (cos (- (* (/ K 2) (+ n m)) M)) 4) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (/ (/ (* (cos (- (* (/ K 2) (+ n m)) M)) 4) (* 2 2)) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * [enter]simplify: Simplifying (* 2 2) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (3 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1 2) to (λ (K m n M l) (/ (/ (* (cos (- (* (/ K 2) (+ n m)) M)) 4) 4) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 41 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1) to (λ (K m n M l) (/ (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* 0 (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 46 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* 1/2 (* K (+ m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 254 * * [misc]simplify: Extracting #5: cost 0 inf + 896 * [exit]simplify: Simplified to (sin (* (* 1/2 K) (+ n m))) * [misc]simplify: Simplified (2 1 2 1) to (λ (K m n M l) (/ (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (* (* 1/2 K) (+ n m))) (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 47 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* 1/2 (* K (+ m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 254 * * [misc]simplify: Extracting #5: cost 0 inf + 896 * [exit]simplify: Simplified to (sin (* (* 1/2 K) (+ n m))) * [misc]simplify: Simplified (2 1 2 1) to (λ (K m n M l) (/ (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin (* (* 1/2 K) (+ n m))) (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 48 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (K m n M l) (/ (+ (* 1 (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 49 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 1/2 (* K (+ m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 254 * * [misc]simplify: Extracting #5: cost 0 inf + 896 * [exit]simplify: Simplified to (cos (* (* 1/2 K) (+ n m))) * [misc]simplify: Simplified (2 1 1 1) to (λ (K m n M l) (/ (+ (* (cos (* (* 1/2 K) (+ n m))) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 50 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 1/2 (* K (+ m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 254 * * [misc]simplify: Extracting #5: cost 0 inf + 896 * [exit]simplify: Simplified to (cos (* (* 1/2 K) (+ n m))) * [misc]simplify: Simplified (2 1 1 1) to (λ (K m n M l) (/ (+ (* (cos (* (* 1/2 K) (+ n m))) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 51 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2) to (λ (K m n M l) (/ (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) 0) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 52 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (* 1/2 (* K (+ m n)))) (sin M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 64 * * [misc]simplify: Extracting #5: cost 12 inf + 108 * * [misc]simplify: Extracting #6: cost 1 inf + 958 * * [misc]simplify: Extracting #7: cost 0 inf + 1243 * [exit]simplify: Simplified to (* (sin M) (sin (* (+ n m) (* 1/2 K)))) * [misc]simplify: Simplified (2 1 2) to (λ (K m n M l) (/ (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin M) (sin (* (+ n m) (* 1/2 K))))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 53 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin (* 1/2 (* K (+ m n)))) (sin M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 5 inf + 0 * * [misc]simplify: Extracting #3: cost 12 inf + 1 * * [misc]simplify: Extracting #4: cost 15 inf + 64 * * [misc]simplify: Extracting #5: cost 12 inf + 108 * * [misc]simplify: Extracting #6: cost 1 inf + 958 * * [misc]simplify: Extracting #7: cost 0 inf + 1243 * [exit]simplify: Simplified to (* (sin M) (sin (* (+ n m) (* 1/2 K)))) * [misc]simplify: Simplified (2 1 2) to (λ (K m n M l) (/ (+ (* (cos (/ (* (+ m n) K) 2)) (cos M)) (* (sin M) (sin (* (+ n m) (* 1/2 K))))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 54 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (/ 1 (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 55 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sin (* 1/2 (* K (+ m n)))) (sin M)) (* (cos (* 1/2 (* K (+ m n)))) (cos M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 123 * * [misc]simplify: Extracting #5: cost 18 inf + 125 * * [misc]simplify: Extracting #6: cost 13 inf + 253 * * [misc]simplify: Extracting #7: cost 3 inf + 1405 * * [misc]simplify: Extracting #8: cost 0 inf + 2258 * [exit]simplify: Simplified to (+ (* (cos (* (* 1/2 K) (+ n m))) (cos M)) (* (sin M) (sin (* (* 1/2 K) (+ n m))))) * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (/ (+ (* (cos (* (* 1/2 K) (+ n m))) (cos M)) (* (sin M) (sin (* (* 1/2 K) (+ n m))))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 56 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sin (* 1/2 (* K (+ m n)))) (sin M)) (* (cos (* 1/2 (* K (+ m n)))) (cos M))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 3 inf + 0 * * [misc]simplify: Extracting #2: cost 7 inf + 0 * * [misc]simplify: Extracting #3: cost 9 inf + 0 * * [misc]simplify: Extracting #4: cost 14 inf + 123 * * [misc]simplify: Extracting #5: cost 18 inf + 125 * * [misc]simplify: Extracting #6: cost 13 inf + 253 * * [misc]simplify: Extracting #7: cost 3 inf + 1405 * * [misc]simplify: Extracting #8: cost 0 inf + 2258 * [exit]simplify: Simplified to (+ (* (cos (* (* 1/2 K) (+ n m))) (cos M)) (* (sin M) (sin (* (* 1/2 K) (+ n m))))) * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (/ (+ (* (cos (* (* 1/2 K) (+ n m))) (cos M)) (* (sin M) (sin (* (* 1/2 K) (+ n m))))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* (+ m n) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ m n) 1) (* 0 0)) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ (* m K) 2) into (* 1/2 (* m K)) * [misc]backup-simplify: Simplify (sin (* 1/2 (* m K))) into (sin (* 1/2 (* m K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* m K))) into (cos (* 1/2 (* m K))) * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ m n) K) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (* K n))) 1) into (sin (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (* K n))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* 1/2 (* K n))) 0) into (sin (* 1/2 (* K n))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* n 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (- (/ K 2) (+ (* (* 1/2 (* K n)) (/ 0 2)))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (cos (* 1/2 (* K n))) K)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* (cos (* 1/2 (* K n))) K))) into (* 1/2 (* (cos (* 1/2 (* K n))) K)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (cos (* 1/2 (* K n))) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (* K n))) K) in n * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 1 K) into K * [misc]backup-simplify: Simplify (* 1/2 K) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (* 1/2 K) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (sin (* 1/2 (* K n))) (pow K 2)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* K n)) (/ 0 2)) (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (sin (* 1/2 (* K n))) (pow K 2)))) 0) into (- (* 1/8 (* (sin (* 1/2 (* K n))) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (sin (* 1/2 (* K n))) (pow K 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (sin (* 1/2 (* K n))) (pow K 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (* K n))) (pow K 2)) in n * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (pow K 2) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* K K) into (pow K 2) * [misc]backup-simplify: Simplify (* 0 (pow K 2)) into 0 * [misc]backup-simplify: Simplify (* 1/8 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 K)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 K)) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 (/ 1 m)) (/ 1 (/ 1 n))) (/ 1 K)))) into (sin (* 1/2 (* K (+ m n)))) * [misc]approximate: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 m) (/ 1 n))) -1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (sin (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (* 1/2 (/ (+ (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- n)))) (/ 1 (- K))))) into (sin (* 1/2 (* K (+ m n)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 2 1) * [misc]approximate: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* (+ m n) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ m n) 1) (* 0 0)) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ (* m K) 2) into (* 1/2 (* m K)) * [misc]backup-simplify: Simplify (cos (* 1/2 (* m K))) into (cos (* 1/2 (* m K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* m K))) into (sin (* 1/2 (* m K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (* K n))) 1) into (cos (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (* K n))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (* K n))) 0) into (cos (* 1/2 (* K n))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* n 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (- (/ K 2) (+ (* (* 1/2 (* K n)) (/ 0 2)))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (sin (* 1/2 (* K n))) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) into (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (sin (* 1/2 (* K n))) K)))) into (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (* 1/2 (* K n))) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (* K n))) K) in n * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* K n)) (/ 0 2)) (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) 0) into (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (* K n))) (pow K 2)) in n * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (pow K 2) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* K K) into (pow K 2) * [misc]backup-simplify: Simplify (* 1 (pow K 2)) into (pow K 2) * [misc]backup-simplify: Simplify (* 1/8 (pow K 2)) into (* 1/8 (pow K 2)) * [misc]backup-simplify: Simplify (- (* 1/8 (pow K 2))) into (- (* 1/8 (pow K 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (pow K 2))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (pow K 2)) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* 1/2 K) K)) into (* 1/2 (pow K 2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1/2 (pow K 2))) (* 0 0)) into (* 1/4 (pow K 2)) * [misc]backup-simplify: Simplify (- (* 1/4 (pow K 2))) into (- (* 1/4 (pow K 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (pow K 2))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (pow K 2)) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (pow K 2))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (pow K 2)) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 (/ 1 m)) (/ 1 (/ 1 n))) (/ 1 K)))) into (cos (* 1/2 (* K (+ m n)))) * [misc]approximate: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 m) (/ 1 n))) -1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- n)))) (/ 1 (- K))))) into (cos (* 1/2 (* K (+ m n)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1 2 1) * [misc]approximate: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* (+ m n) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ m n) 1) (* 0 0)) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ (* m K) 2) into (* 1/2 (* m K)) * [misc]backup-simplify: Simplify (cos (* 1/2 (* m K))) into (cos (* 1/2 (* m K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* m K))) into (sin (* 1/2 (* m K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (* K n))) 1) into (cos (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (* K n))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (* K n))) 0) into (cos (* 1/2 (* K n))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* n 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (- (/ K 2) (+ (* (* 1/2 (* K n)) (/ 0 2)))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (sin (* 1/2 (* K n))) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) into (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (sin (* 1/2 (* K n))) K)))) into (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (* 1/2 (* K n))) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (* K n))) K) in n * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* K n)) (/ 0 2)) (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) 0) into (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (* K n))) (pow K 2)) in n * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (pow K 2) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* K K) into (pow K 2) * [misc]backup-simplify: Simplify (* 1 (pow K 2)) into (pow K 2) * [misc]backup-simplify: Simplify (* 1/8 (pow K 2)) into (* 1/8 (pow K 2)) * [misc]backup-simplify: Simplify (- (* 1/8 (pow K 2))) into (- (* 1/8 (pow K 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (pow K 2))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (pow K 2)) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* 1/2 K) K)) into (* 1/2 (pow K 2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1/2 (pow K 2))) (* 0 0)) into (* 1/4 (pow K 2)) * [misc]backup-simplify: Simplify (- (* 1/4 (pow K 2))) into (- (* 1/4 (pow K 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (pow K 2))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (pow K 2)) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (pow K 2))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (pow K 2)) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 (/ 1 m)) (/ 1 (/ 1 n))) (/ 1 K)))) into (cos (* 1/2 (* K (+ m n)))) * [misc]approximate: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 m) (/ 1 n))) -1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- n)))) (/ 1 (- K))))) into (cos (* 1/2 (* K (+ m n)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1) * [misc]approximate: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in K * [misc]taylor: Taking taylor expansion of (+ m n) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* (+ m n) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ m n) 1) (* 0 0)) into (+ m n) * [misc]backup-simplify: Simplify (/ (+ m n) 2) into (* 1/2 (+ m n)) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in n * [misc]taylor: Taking taylor expansion of (+ m n) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m 0) into m * [misc]backup-simplify: Simplify (* m K) into (* m K) * [misc]backup-simplify: Simplify (/ (* m K) 2) into (* 1/2 (* m K)) * [misc]backup-simplify: Simplify (cos (* 1/2 (* m K))) into (cos (* 1/2 (* m K))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* m K))) into (sin (* 1/2 (* m K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ m n) K) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ m n) K) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ m n) K) in m * [misc]taylor: Taking taylor expansion of (+ m n) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 n) into n * [misc]backup-simplify: Simplify (* n K) into (* K n) * [misc]backup-simplify: Simplify (/ (* K n) 2) into (* 1/2 (* K n)) * [misc]backup-simplify: Simplify (cos (* 1/2 (* K n))) into (cos (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (sin (* 1/2 (* K n))) into (sin (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (* (cos (* 1/2 (* K n))) 1) into (cos (* 1/2 (* K n))) * [misc]backup-simplify: Simplify (* (sin (* 1/2 (* K n))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* 1/2 (* K n))) 0) into (cos (* 1/2 (* K n))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of 1 in K * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* n 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (- (/ K 2) (+ (* (* 1/2 (* K n)) (/ 0 2)))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) (* 1/2 K)) (* 0 0)) into (* 1/2 (* (sin (* 1/2 (* K n))) K)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) into (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* (sin (* 1/2 (* K n))) K)))) into (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (* 1/2 (* K n))) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (* 1/2 (* K n))) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sin (* 1/2 (* K n))) K) in n * [misc]taylor: Taking taylor expansion of (sin (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]backup-simplify: Simplify (+ (* (cos (* 1/2 (* K n))) (- (* 1/8 (pow K 2)))) (+ (* 0 0) (* 0 1))) into (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 1 0) (* 0 K))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 (* K n)) (/ 0 2)) (* (* 1/2 K) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* 1/2 (* K n))) 0) (+ (* 0 (* 1/2 K)) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) 0) into (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (* 1/2 (* K n))) (pow K 2))) in n * [misc]taylor: Taking taylor expansion of 1/8 in n * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (* 1/2 (* K n))) (pow K 2)) in n * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (* K n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* K n)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* K n) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* K 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* K 1) (* 0 0)) into K * [misc]backup-simplify: Simplify (+ (* 1/2 K) (* 0 0)) into (* 1/2 K) * [misc]taylor: Taking taylor expansion of (pow K 2) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* K K) into (pow K 2) * [misc]backup-simplify: Simplify (* 1 (pow K 2)) into (pow K 2) * [misc]backup-simplify: Simplify (* 1/8 (pow K 2)) into (* 1/8 (pow K 2)) * [misc]backup-simplify: Simplify (- (* 1/8 (pow K 2))) into (- (* 1/8 (pow K 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (pow K 2))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (pow K 2)) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (* 1/2 K) 1) 1))) into (* 1/2 K) * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* 1/2 K) K)) into (* 1/2 (pow K 2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* 1/2 (pow K 2))) (* 0 0)) into (* 1/4 (pow K 2)) * [misc]backup-simplify: Simplify (- (* 1/4 (pow K 2))) into (- (* 1/4 (pow K 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/4 (pow K 2))) in K * [misc]taylor: Taking taylor expansion of (* 1/4 (pow K 2)) in K * [misc]taylor: Taking taylor expansion of 1/4 in K * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (* 1/2 K) 2) 2)) 0) into (- (* 1/8 (pow K 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (pow K 2))) in K * [misc]taylor: Taking taylor expansion of (* 1/8 (pow K 2)) in K * [misc]taylor: Taking taylor expansion of 1/8 in K * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (pow K 2) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in m * [misc]taylor: Taking taylor expansion of (/ 1 m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of (/ 1 K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 m) (/ 1 n)) (/ 1 K)) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 (/ 1 m)) (/ 1 (/ 1 n))) (/ 1 K)))) into (cos (* 1/2 (* K (+ m n)))) * [misc]approximate: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in (m n K) around 0 * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in K * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in K * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in K * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in K * [misc]taylor: Taking taylor expansion of (- m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in K * [misc]taylor: Taking taylor expansion of (- n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in K * [misc]taylor: Taking taylor expansion of (- K) in K * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* (- (+ (/ 1 m) (/ 1 n))) -1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 2) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in n * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in n * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in n * [misc]taylor: Taking taylor expansion of (- m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (- m) into (- m) * [misc]backup-simplify: Simplify (/ 1 (- m)) into (/ -1 m) * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in n * [misc]taylor: Taking taylor expansion of (- n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in n * [misc]taylor: Taking taylor expansion of (- K) in n * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in n * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) in m * [misc]taylor: Taking taylor expansion of (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2) in m * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) in m * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- m)) (/ 1 (- n))) in m * [misc]taylor: Taking taylor expansion of (/ 1 (- m)) in m * [misc]taylor: Taking taylor expansion of (- m) in m * [misc]taylor: Taking taylor expansion of m in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- n)) in m * [misc]taylor: Taking taylor expansion of (- n) in m * [misc]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (- n) into (- n) * [misc]backup-simplify: Simplify (/ 1 (- n)) into (/ -1 n) * [misc]taylor: Taking taylor expansion of (/ 1 (- K)) in m * [misc]taylor: Taking taylor expansion of (- K) in m * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (- K) into (- K) * [misc]backup-simplify: Simplify (/ 1 (- K)) into (/ -1 K) * [misc]taylor: Taking taylor expansion of 2 in m * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 K)) into (/ 1 K) * [misc]backup-simplify: Simplify (/ (/ 1 K) 2) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (/ (* (+ (/ 1 (- m)) (/ 1 (- n))) (/ 1 (- K))) 2)) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in n * [misc]taylor: Taking taylor expansion of 1/2 in n * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in n * [misc]taylor: Taking taylor expansion of (/ 1 m) in n * [misc]taylor: Taking taylor expansion of m in n * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in n * [misc]taylor: Taking taylor expansion of n in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of K in n * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 K) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) in K * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K)) in K * [misc]taylor: Taking taylor expansion of 1/2 in K * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 m) (/ 1 n)) K) in K * [misc]taylor: Taking taylor expansion of (+ (/ 1 m) (/ 1 n)) in K * [misc]taylor: Taking taylor expansion of (/ 1 m) in K * [misc]taylor: Taking taylor expansion of m in K * [misc]backup-simplify: Simplify m into m * [misc]backup-simplify: Simplify (/ 1 m) into (/ 1 m) * [misc]taylor: Taking taylor expansion of (/ 1 n) in K * [misc]taylor: Taking taylor expansion of n in K * [misc]backup-simplify: Simplify n into n * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) * [misc]taylor: Taking taylor expansion of K in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 m) (/ 1 n)) 1) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1/2 (+ (/ 1 m) (/ 1 n))) into (* 1/2 (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) into (cos (* 1/2 (/ (+ (/ 1 m) (/ 1 n)) K))) * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in K * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* 1/2 (/ (+ (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- n)))) (/ 1 (- K))))) into (cos (* 1/2 (* K (+ m n)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 40 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 2 1) to (λ (K m n M l) (/ (+ (* (* (* (cbrt (cos (/ (* (+ m n) K) 2))) (cbrt (cos (/ (* (+ m n) K) 2)))) (cbrt (cos (/ (* (+ m n) K) 2)))) (cos M)) (* 0 (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 30 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* 1/2 (* K (+ m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 254 * * [misc]simplify: Extracting #5: cost 0 inf + 896 * [exit]simplify: Simplified to (sin (* (* 1/2 K) (+ n m))) * [misc]simplify: Simplified (2 1 2 1) to (λ (K m n M l) (/ (+ (* (* (* (cbrt (cos (/ (* (+ m n) K) 2))) (cbrt (cos (/ (* (+ m n) K) 2)))) (cbrt (cos (/ (* (+ m n) K) 2)))) (cos M)) (* (sin (* (* 1/2 K) (+ n m))) (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 31 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* 1/2 (* K (+ m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 254 * * [misc]simplify: Extracting #5: cost 0 inf + 896 * [exit]simplify: Simplified to (sin (* (* 1/2 K) (+ n m))) * [misc]simplify: Simplified (2 1 2 1) to (λ (K m n M l) (/ (+ (* (* (* (cbrt (cos (/ (* (+ m n) K) 2))) (cbrt (cos (/ (* (+ m n) K) 2)))) (cbrt (cos (/ (* (+ m n) K) 2)))) (cos M)) (* (sin (* (* 1/2 K) (+ n m))) (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 32 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (K m n M l) (/ (+ (* (* (* (cbrt (cos (/ (* (+ m n) K) 2))) (cbrt (cos (/ (* (+ m n) K) 2)))) (cbrt 1)) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 33 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 1/2 (* K (+ m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 254 * * [misc]simplify: Extracting #5: cost 0 inf + 896 * [exit]simplify: Simplified to (cos (* (* 1/2 K) (+ n m))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (K m n M l) (/ (+ (* (* (* (cbrt (cos (/ (* (+ m n) K) 2))) (cbrt (cos (/ (* (+ m n) K) 2)))) (cbrt (cos (* (* 1/2 K) (+ n m))))) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 34 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 1/2 (* K (+ m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 254 * * [misc]simplify: Extracting #5: cost 0 inf + 896 * [exit]simplify: Simplified to (cos (* (* 1/2 K) (+ n m))) * [misc]simplify: Simplified (2 1 1 1 2 1) to (λ (K m n M l) (/ (+ (* (* (* (cbrt (cos (/ (* (+ m n) K) 2))) (cbrt (cos (/ (* (+ m n) K) 2)))) (cbrt (cos (* (* 1/2 K) (+ n m))))) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 35 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (K m n M l) (/ (+ (* (* (* (cbrt (cos (/ (* (+ m n) K) 2))) (cbrt 1)) (cbrt (cos (/ (* (+ m n) K) 2)))) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 36 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 1/2 (* K (+ m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 254 * * [misc]simplify: Extracting #5: cost 0 inf + 896 * [exit]simplify: Simplified to (cos (* (* 1/2 K) (+ n m))) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (K m n M l) (/ (+ (* (* (* (cbrt (cos (/ (* (+ m n) K) 2))) (cbrt (cos (* (* 1/2 K) (+ n m))))) (cbrt (cos (/ (* (+ m n) K) 2)))) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 37 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 1/2 (* K (+ m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 254 * * [misc]simplify: Extracting #5: cost 0 inf + 896 * [exit]simplify: Simplified to (cos (* (* 1/2 K) (+ n m))) * [misc]simplify: Simplified (2 1 1 1 1 2 1) to (λ (K m n M l) (/ (+ (* (* (* (cbrt (cos (/ (* (+ m n) K) 2))) (cbrt (cos (* (* 1/2 K) (+ n m))))) (cbrt (cos (/ (* (+ m n) K) 2)))) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 38 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 0 inf + 1 * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (K m n M l) (/ (+ (* (* (* (cbrt 1) (cbrt (cos (/ (* (+ m n) K) 2)))) (cbrt (cos (/ (* (+ m n) K) 2)))) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 39 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 1/2 (* K (+ m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 254 * * [misc]simplify: Extracting #5: cost 0 inf + 896 * [exit]simplify: Simplified to (cos (* (* 1/2 K) (+ n m))) * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (K m n M l) (/ (+ (* (* (* (cbrt (cos (* (* 1/2 K) (+ n m)))) (cbrt (cos (/ (* (+ m n) K) 2)))) (cbrt (cos (/ (* (+ m n) K) 2)))) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * * [misc]progress: [ 40 / 40 ] simplifiying candidate # * [enter]simplify: Simplifying (cos (* 1/2 (* K (+ m n)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: Extracting #0: cost 1 inf + 0 * * [misc]simplify: Extracting #1: cost 2 inf + 0 * * [misc]simplify: Extracting #2: cost 10 inf + 0 * * [misc]simplify: Extracting #3: cost 14 inf + 2 * * [misc]simplify: Extracting #4: cost 8 inf + 254 * * [misc]simplify: Extracting #5: cost 0 inf + 896 * [exit]simplify: Simplified to (cos (* (* 1/2 K) (+ n m))) * [misc]simplify: Simplified (2 1 1 1 1 1 1) to (λ (K m n M l) (/ (+ (* (* (* (cbrt (cos (* (* 1/2 K) (+ n m)))) (cbrt (cos (/ (* (+ m n) K) 2)))) (cbrt (cos (/ (* (+ m n) K) 2)))) (cos M)) (* (sin (/ (* (+ m n) K) 2)) (sin M))) (exp (- l (- (fabs (- m n)) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# #) * * * [misc]regime-changes: Trying 5 branch expressions: (l M n m K) * * * * [misc]regimes: Trying to branch on l from (# #) * * * * [misc]regimes: Trying to branch on M from (# #) * * * * [misc]regimes: Trying to branch on n from (# #) * * * * [misc]regimes: Trying to branch on m from (# #) * * * * [misc]regimes: Trying to branch on K from (# #) * * * [misc]regime: Found split indices: #