* [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: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 256 points * * * * [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 13 additional inputs, on iter 1 have 243 / 256 * * * * [misc]points: Computing exacts for 13 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 258 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 (91 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (/ (cos (fma (/ K 2) (+ m n) (- M))) (exp (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) (- l (fabs (- m n)))))) * * [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 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K (+ m n)) 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 (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K 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 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K n) 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 (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ 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 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 (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ 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 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]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 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 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 (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 (- M)) 0) (* 0 1)) into 0 * [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 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- 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 (* (sin (- M)) n) in m * [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 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]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* 1/2 (* m (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 (* m (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)) 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 (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 (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) 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 (* 0 (sin (- M))) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- 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 (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- 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 (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- 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 (* (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 (- M)) 0) 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 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 (+ 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 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ m n)))) 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow m 2) (cos (- M))) 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 (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 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]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in 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 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]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 (* 1/4 (* m (* (cos (- M)) n))) 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 (* m (* (cos (- 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 (* (cos (- M)) n) in 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 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]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into 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 (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 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 (* (cos (- M)) n) into (* (cos (- M)) n) * [misc]backup-simplify: Simplify (* 0 (* (cos (- M)) n)) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 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 (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- 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 (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [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 (+ 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 (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) 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 (+ 0 (* 1/2 (sin (- M)))) 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 n * [misc]taylor: Taking taylor expansion of (* 1/2 (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 (sin (- 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 (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 (* 1/2 (sin (- M))) 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 (+ (* -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) 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]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 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [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)) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [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)) 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 K) 1) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [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)) 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 K) 1) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in 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]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 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 (+ (/ 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 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in 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]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 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 (+ (/ 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 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 K) (+ (/ 1 m) (/ 1 n))) 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 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 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 (+ (/ 1/2 K) 0) 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 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 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 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 (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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [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))) 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 K) (- (+ (/ 1 m) (/ 1 n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [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))) 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 K) -1) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [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))) 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 K) -1) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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 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 (- (+ (/ 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 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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 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 (- (+ (/ 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 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 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 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 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 (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) 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 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 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 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 (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 1 1) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) 0) into (+ (* 1/2 m) (* 1/2 n)) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]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 (pow (- (/ (+ m n) 2) M) 2) 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]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 (+ (* (- (* 1/2 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 (+ (* (- (* 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 (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]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 (+ (* 1/2 (- (* 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 (+ (* 1/2 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 (+ (* 1/2 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 (+ (* 1/2 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 (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]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 (+ (* -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 (+ (* -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 (+ (* -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 (+ (* -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 (* K (+ m n)) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (+ m 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 (+ 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 (+ m 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 (+ 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 (+ m 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 (+ 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]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) 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 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ m n))) into (+ m n) * [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 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]taylor: Taking taylor expansion of 0 in n * [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 0) (+ (* 1 0) (* 0 (+ m n)))) 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 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in n * [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 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (+ m n))))) 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 into 0 * [misc]taylor: Taking taylor expansion of 0 in n * [misc]backup-simplify: Simplify 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]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 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* n (* 1 K))) (* 1 (* 1 (* m K)))) into (+ (* m K) (* K n)) * [misc]approximate: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [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)) 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) (+ (/ 1 m) (/ 1 n))) in m * [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)) 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) (+ (/ 1 m) (/ 1 n))) in 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]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) (+ (/ 1 m) (/ 1 n))) in 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]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]backup-simplify: Simplify (+ (/ 1 m) (/ 1 n)) into (+ (/ 1 m) (/ 1 n)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 m) (/ 1 n))) into (+ (/ 1 m) (/ 1 n)) * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in n * [misc]backup-simplify: Simplify 1 into 1 * [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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (+ (/ 1 m) (/ 1 n)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n))))) 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 (- (+ (* 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]taylor: Taking taylor expansion of 0 in n * [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 (- (+ (* (/ 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 m) (/ 1 n)))))) 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 (- (+ (* 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]taylor: Taking taylor expansion of 0 in n * [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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 m)) (/ 1 (/ 1 K))))) (* 1 (* (/ 1 (/ 1 n)) (* 1 (/ 1 (/ 1 K)))))) into (+ (* m K) (* K n)) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in (K m n) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [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))) 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)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [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))) 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)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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]backup-simplify: Simplify (+ (/ -1 m) (/ -1 n)) into (- (+ (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 m) (/ 1 n)))) into (+ (/ 1 m) (/ 1 n)) * [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]backup-simplify: Simplify (+ 1 0) into 1 * [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 (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (+ (/ 1 m) (/ 1 n))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in m * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 n)) into (/ 1 n) * [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 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [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) 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 (+ (* -1 0) (+ (* 0 0) (* 0 (- (+ (/ 1 m) (/ 1 n)))))) 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 (- (+ (* 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]taylor: Taking taylor expansion of 0 in n * [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 (- 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) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (/ 1 m) (/ 1 n))))))) 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 (- (+ (* 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]taylor: Taking taylor expansion of 0 in n * [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 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* (/ 1 (/ 1 (- m))) (/ 1 (/ 1 (- K)))))) (* 1 (* (/ 1 (/ 1 (- n))) (* 1 (/ 1 (/ 1 (- K))))))) into (+ (* m K) (* K n)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) in (m n M l) around 0 * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) in l * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in l * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in l * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) (- M)) into (- (+ (* 1/2 m) (* 1/2 n)) M) * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) 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)) in l * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [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))) 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 (+ (- (+ (* m M) (* M n)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2)))))) (fabs (- m n))) 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 (exp (- (+ (* 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 (exp (- (+ (* 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]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) in M * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in M * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in M * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) 0) into (+ (* 1/2 m) (* 1/2 n)) * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) 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)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m 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))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ l (- (fabs (- m n)))) into (- l (fabs (- m n))) * [misc]backup-simplify: Simplify (- (- l (fabs (- m n)))) into (- (fabs (- m n)) l) * [misc]backup-simplify: Simplify (+ (- (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))))) (- (fabs (- m n)) l)) into (- (fabs (- m n)) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (+ l (* 1/4 (pow m 2)))))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (+ l (* 1/4 (pow m 2))))))) into (exp (- (fabs (- m n)) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (+ l (* 1/4 (pow n 2))))))) * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) in n * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in n * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) 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)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [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))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ l (- (fabs (- m n)))) into (- l (fabs (- m n))) * [misc]backup-simplify: Simplify (- (- l (fabs (- m n)))) into (- (fabs (- m n)) l) * [misc]backup-simplify: Simplify (+ (- (* m M) (+ (pow M 2) (* 1/4 (pow m 2)))) (- (fabs (- m n)) l)) into (- (+ (fabs (- m n)) (* m M)) (+ (pow M 2) (+ l (* 1/4 (pow m 2))))) * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- m n)) (* m M)) (+ (pow M 2) (+ l (* 1/4 (pow m 2)))))) into (exp (- (+ (fabs (- m n)) (* m M)) (+ (pow M 2) (+ l (* 1/4 (pow m 2)))))) * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) in m * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]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 (- l (fabs (- m n))) 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)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [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))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ l (- (fabs (- m n)))) into (- l (fabs (- m n))) * [misc]backup-simplify: Simplify (- (- l (fabs (- m n)))) into (- (fabs (- m n)) l) * [misc]backup-simplify: Simplify (+ (- (* M n) (+ (pow M 2) (* 1/4 (pow n 2)))) (- (fabs (- m n)) l)) into (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2))))) * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) into (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) in m * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]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 (- l (fabs (- m n))) 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)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [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))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ l (- (fabs (- m n)))) into (- l (fabs (- m n))) * [misc]backup-simplify: Simplify (- (- l (fabs (- m n)))) into (- (fabs (- m n)) l) * [misc]backup-simplify: Simplify (+ (- (* M n) (+ (pow M 2) (* 1/4 (pow n 2)))) (- (fabs (- m n)) l)) into (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2))))) * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) into (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 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) (+ l (* 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 (+ l (* 1/4 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [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 (+ l 0) into l * [misc]backup-simplify: Simplify (+ (pow M 2) l) into (+ (pow M 2) l) * [misc]backup-simplify: Simplify (- (+ (pow M 2) l)) into (- (+ (pow M 2) l)) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ (pow M 2) l))) into (- (fabs (- m n)) (+ (pow M 2) l)) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ (pow M 2) l))) into (exp (- (fabs (- m n)) (+ (pow M 2) l))) * [misc]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) (+ (pow M 2) l))) in M * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (+ (pow M 2) l)) 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) l) 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 l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (+ 0 l) into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- l)) into (- (fabs (- m n)) l) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) l)) into (exp (- (fabs (- m n)) l)) * [misc]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) l)) in l * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) l) 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 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 (+ (fabs (- m n)) 0) 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 (+ 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- M (* 1/2 n)) 0) into (- M (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) (+ (* (/ (pow (- M (* 1/2 n)) 1) 1)))) into (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) (- M (* 1/2 n))) * [misc]taylor: Taking taylor expansion of (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) (- M (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 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) (+ l (* 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 (+ l (* 1/4 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [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 (+ l 0) into l * [misc]backup-simplify: Simplify (+ (pow M 2) l) into (+ (pow M 2) l) * [misc]backup-simplify: Simplify (- (+ (pow M 2) l)) into (- (+ (pow M 2) l)) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ (pow M 2) l))) into (- (fabs (- m n)) (+ (pow M 2) l)) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ (pow M 2) l))) into (exp (- (fabs (- m n)) (+ (pow M 2) l))) * [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]backup-simplify: Simplify (* (exp (- (fabs (- m n)) (+ (pow M 2) l))) M) into (* (exp (- (fabs (- m n)) (+ (pow M 2) l))) M) * [misc]taylor: Taking taylor expansion of (* (exp (- (fabs (- m n)) (+ (pow M 2) l))) M) in M * [misc]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) (+ (pow M 2) l))) in M * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (+ (pow M 2) l)) 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) l) 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 l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (+ 0 l) into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- l)) into (- (fabs (- m n)) l) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) l)) into (exp (- (fabs (- m n)) l)) * [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 (* (exp (- (fabs (- m n)) l)) 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ M 0) into M * [misc]backup-simplify: Simplify (* (exp (- (fabs (- m n)) (+ (pow M 2) l))) (+ (* (/ (pow M 1) 1)))) into (* (exp (- (fabs (- m n)) (+ (pow M 2) l))) M) * [misc]taylor: Taking taylor expansion of (* (exp (- (fabs (- m n)) (+ (pow M 2) l))) M) in M * [misc]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) (+ (pow M 2) l))) in M * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (+ (pow M 2) l)) 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) l) 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 l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (+ 0 l) into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- l)) into (- (fabs (- m n)) l) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) l)) into (exp (- (fabs (- m n)) l)) * [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 (* (exp (- (fabs (- m n)) l)) 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 (* (exp (- (fabs (- m n)) l)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 -1) into -1 * [misc]backup-simplify: Simplify (* (exp (fabs (- m n))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (fabs (- m n)))) * [misc]backup-simplify: Simplify (* -1 (exp (fabs (- m n)))) into (* -1 (exp (fabs (- m n)))) * [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) 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]backup-simplify: Simplify (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) (+ (* (/ (pow (- M (* 1/2 n)) 2) 2)) (* (/ (pow -1/4 1) 1)))) into (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) (- (+ (* 1/2 (pow M 2)) (* 1/8 (pow n 2))) (+ 1/4 (* 1/2 (* M n))))) * [misc]taylor: Taking taylor expansion of (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) (- (+ (* 1/2 (pow M 2)) (* 1/8 (pow n 2))) (+ 1/4 (* 1/2 (* M n))))) in n * [misc]taylor: Taking taylor expansion of (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 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) (+ l (* 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 (+ l (* 1/4 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [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 (+ l 0) into l * [misc]backup-simplify: Simplify (+ (pow M 2) l) into (+ (pow M 2) l) * [misc]backup-simplify: Simplify (- (+ (pow M 2) l)) into (- (+ (pow M 2) l)) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ (pow M 2) l))) into (- (fabs (- m n)) (+ (pow M 2) l)) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ (pow M 2) l))) into (exp (- (fabs (- m n)) (+ (pow M 2) l))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (pow M 2)) (* 1/8 (pow n 2))) (+ 1/4 (* 1/2 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (pow M 2)) (* 1/8 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (pow M 2)) 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 (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 (* 1/8 (pow n 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 (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 (+ 1/4 (* 1/2 (* M n))) 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 (* 1/2 (* 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 (* 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 (* 1/2 (pow M 2)) into (* 1/2 (pow M 2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (pow M 2)) 0) into (* 1/2 (pow M 2)) * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow M 2)) -1/4) into (- (* 1/2 (pow M 2)) 1/4) * [misc]backup-simplify: Simplify (* (exp (- (fabs (- m n)) (+ (pow M 2) l))) (- (* 1/2 (pow M 2)) 1/4)) into (* (- (* 1/2 (pow M 2)) 1/4) (exp (- (fabs (- m n)) (+ (pow M 2) l)))) * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (pow M 2)) 1/4) (exp (- (fabs (- m n)) (+ (pow M 2) l)))) in M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow M 2)) 1/4) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (pow M 2)) 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 (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 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) (+ (pow M 2) l))) in M * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (+ (pow M 2) l)) 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) l) 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 l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (+ 0 l) into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- l)) into (- (fabs (- m n)) l) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) l)) into (exp (- (fabs (- m n)) l)) * [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 (exp (- (fabs (- m n)) l))) into (* -1/4 (exp (- (fabs (- m n)) l))) * [misc]taylor: Taking taylor expansion of (* -1/4 (exp (- (fabs (- m n)) l))) in l * [misc]taylor: Taking taylor expansion of -1/4 in l * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) l)) in l * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) l) 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 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 (+ (fabs (- m n)) 0) into (fabs (- m n)) * [misc]backup-simplify: Simplify (exp (fabs (- m n))) into (exp (fabs (- m n))) * [misc]backup-simplify: Simplify (* -1/4 (exp (fabs (- m n)))) into (* -1/4 (exp (fabs (- m n)))) * [misc]backup-simplify: Simplify (* -1/4 (exp (fabs (- m n)))) into (* -1/4 (exp (fabs (- m n)))) * [misc]backup-simplify: Simplify (+ (* (* -1/4 (exp (fabs (- m n)))) (pow (* 1 (* 1 (* 1 m))) 2)) (+ (* (* -1 (exp (fabs (- m n)))) (* l (* 1 (* 1 1)))) (exp (fabs (- m n))))) into (- (exp (fabs (- m n))) (+ (* l (exp (fabs (- m n)))) (* 1/4 (* (pow m 2) (exp (fabs (- m n))))))) * [misc]approximate: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) in (m n M l) around 0 * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) in l * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in l * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in l * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]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]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) 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))) in l * [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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) into (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) in M * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in M * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) 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))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) into (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) 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))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ -1/4 0) into -1/4 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) into (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) 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))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ -1/4 0) into -1/4 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) into (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) 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))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ -1/4 0) into -1/4 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) into (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))))) in n * [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]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 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 (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 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 (+ (* 1/2 (/ 1 (* m n))) (+ (/ 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 (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 (+ 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) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]backup-simplify: Simplify (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) into (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 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 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 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 (* 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]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (* 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 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 (+ (* 1/4 (/ 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 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 (+ (* 1/2 (/ 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 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 (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]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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) into (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) in l * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))))) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) 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]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 l * [misc]taylor: Taking taylor expansion of (/ 1 (* m M)) in l * [misc]taylor: Taking taylor expansion of (* m M) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of M in l * [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 l * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) 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 (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in l * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in l * [misc]taylor: Taking taylor expansion of 1/4 in l * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow m 2)) in l * [misc]taylor: Taking taylor expansion of (pow m 2) in l * [misc]taylor: Taking taylor expansion of m in l * [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 (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in l * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in l * [misc]taylor: Taking taylor expansion of 1/2 in l * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m n)) 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]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 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in l * [misc]taylor: Taking taylor expansion of (pow M 2) in l * [misc]taylor: Taking taylor expansion of M in l * [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 l * [misc]taylor: Taking taylor expansion of 1/4 in l * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in l * [misc]taylor: Taking taylor expansion of (pow n 2) in l * [misc]taylor: Taking taylor expansion of n in l * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) into (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 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 (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) into (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) * [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]taylor: Taking taylor expansion of 0 in l * [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 l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (+ (/ 1 (* (/ 1 M) (/ 1 n))) (+ (/ 1 (* (/ 1 m) (/ 1 M))) (fabs (- (/ 1 (/ 1 m)) (/ 1 (/ 1 n)))))) (+ (/ 1 (/ 1 l)) (+ (* 1/4 (/ 1 (pow (/ 1 m) 2))) (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 n)))) (+ (/ 1 (pow (/ 1 M) 2)) (* 1/4 (/ 1 (pow (/ 1 n) 2))))))))) into (exp (- (+ (* m M) (+ (* M n) (fabs (- m n)))) (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))))) * [misc]approximate: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) in (m n M l) around 0 * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) in l * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in l * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in l * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]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]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) 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)))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) into (exp (- (+ (/ 1 l) (+ (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]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) in M * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in M * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) 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)))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) into (exp (- (+ (/ 1 l) (+ (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]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) 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)))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ -1/4 0) into -1/4 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) into (exp (- (+ (/ 1 l) (+ (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]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) 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)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ -1/4 0) into -1/4 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) into (exp (- (+ (/ 1 l) (+ (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]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) 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)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ -1/4 0) into -1/4 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) into (exp (- (+ (/ 1 l) (+ (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]taylor: Taking taylor expansion of (exp (- (+ (/ 1 l) (+ (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)))))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 l) (+ (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))))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 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 (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 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 (* 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]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 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 (+ (* 1/2 (/ 1 (* m n))) (+ (/ 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 (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 (+ 0 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 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 (exp (- (+ (/ 1 l) (+ (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]taylor: Taking taylor expansion of (exp (- (+ (/ 1 l) (+ (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)))))))) in M * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 l) (+ (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))))))) in M * [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 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]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 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 (+ (* 1/2 (/ 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 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 (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]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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (exp (- (+ (/ 1 l) (+ (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 (exp (- (+ (/ 1 l) (+ (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]taylor: Taking taylor expansion of (exp (- (+ (/ 1 l) (+ (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)))))))) in l * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 l) (+ (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))))))) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M n)) (/ 1 (* m 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 n) (/ 1 m))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in l * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in l * [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 l * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) 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]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 l * [misc]taylor: Taking taylor expansion of (* m M) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of M in l * [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 (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in l * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in l * [misc]taylor: Taking taylor expansion of 1/4 in l * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow m 2)) in l * [misc]taylor: Taking taylor expansion of (pow m 2) in l * [misc]taylor: Taking taylor expansion of m in l * [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 (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in l * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in l * [misc]taylor: Taking taylor expansion of 1/2 in l * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m n)) 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]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 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in l * [misc]taylor: Taking taylor expansion of (pow M 2) in l * [misc]taylor: Taking taylor expansion of M in l * [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 l * [misc]taylor: Taking taylor expansion of 1/4 in l * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in l * [misc]taylor: Taking taylor expansion of (pow n 2) in l * [misc]taylor: Taking taylor expansion of n in l * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (exp (- (+ (/ 1 l) (+ (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 (exp (- (+ (/ 1 l) (+ (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 (exp (- (+ (/ 1 l) (+ (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 (exp (- (+ (/ 1 l) (+ (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]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]taylor: Taking taylor expansion of 0 in l * [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 l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (+ (/ 1 (/ 1 (- l))) (+ (fabs (- (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- m))))) (+ (/ 1 (* (/ 1 (- M)) (/ 1 (- n)))) (/ 1 (* (/ 1 (- m)) (/ 1 (- M))))))) (+ (* 1/4 (/ 1 (pow (/ 1 (- m)) 2))) (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- n))))) (+ (/ 1 (pow (/ 1 (- M)) 2)) (* 1/4 (/ 1 (pow (/ 1 (- n)) 2)))))))) into (exp (- (+ (* m M) (+ (* M n) (fabs (- m n)))) (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin (- M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 4 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin (- M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 5 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [misc]simplify: Simplified (2 1 1) to (λ (K m n M l) (* (+ (* (cos M) (cos (/ (+ m n) (/ 2 K)))) (* (sin (/ (* K (+ m n)) 2)) (sin M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 6 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (exp (* 2 (log (- (/ (+ n m) 2) M))))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 16 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 133 ] 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) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (pow (- (/ (+ n m) 2) M) (* 1 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 18 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (* (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (pow (cbrt (- (/ (+ m n) 2) M)) 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 19 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (* (- (/ (+ n m) 2) M) (pow (sqrt (- (/ (+ m n) 2) M)) 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 20 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (* 1 (pow (- (/ (+ m n) 2) M) 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 21 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* K n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* K n) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (+ (* K m) (* K n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 39 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (* n K) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* n K) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (+ (* m K) (* n K)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 40 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ m n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (+ n m)) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (* (* K (* (cbrt (+ m n)) (cbrt (+ m n)))) (cbrt (+ n m))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 41 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ m n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ n m)) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (* (* K (sqrt (+ m n))) (sqrt (+ n m))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 42 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (+ m n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ n m) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (* (* K 1) (+ n m)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 43 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* m m) (- (* n n) (* m n))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (- m n) m (* n n)) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (/ (* K (+ (pow m 3) (pow n 3))) (fma (- m n) m (* n n))) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 44 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- m n) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- m n) * [misc]simplify: Simplified (2 1 1 1 1 2) to (λ (K m n M l) (* (cos (- (/ (/ (* K (- (* m m) (* n n))) (- m n)) 2) M)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 45 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (cbrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (cbrt (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (pow (exp (* (cbrt (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (cbrt (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))))) (cbrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 50 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * [exit]simplify: Simplified to (exp (sqrt (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (pow (exp (sqrt (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)))) (sqrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 51 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (pow E (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 52 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (454 enodes) * [exit]simplify: Simplified to (exp (+ (sqrt (- l (fabs (- m n)))) (sqrt (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (pow (exp (+ (sqrt (- l (fabs (- m n)))) (sqrt (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))))) (- (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 53 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (pow E (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 54 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (pow E (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 55 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (* (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 56 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (* (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 57 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (* (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 58 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 59 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 60 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (445 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 61 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 62 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 63 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 64 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma -1 (pow (- (/ (+ m n) 2) M) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * [exit]simplify: Simplified to (exp (fma (fma (/ (+ m n) 2) -1 (- (- M))) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (fma (/ (+ m n) 2) -1 (- (- M))) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 65 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma -1 (pow (- (/ (+ m n) 2) M) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * [exit]simplify: Simplified to (exp (fma (fma -1 (/ (+ m n) 2) (- (- M))) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (fma -1 (/ (+ m n) 2) (- (- M))) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 66 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma -1 (pow (- (/ (+ m n) 2) M) 2) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * [exit]simplify: Simplified to (exp (fma (fma -1 (/ (+ m n) 2) (- (- M))) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (fma -1 (/ (+ m n) 2) (- (- M))) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 67 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2)) (pow (cbrt (- (/ (+ m n) 2) M)) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (470 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 68 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2)) (pow (cbrt (- (/ (+ m n) 2) M)) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 69 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2)) (pow (cbrt (- (/ (+ m n) 2) M)) 2) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 70 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (405 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 71 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 72 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (437 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 73 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (pow 1 2)) (pow (- (/ (+ m n) 2) M) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (+ (/ (+ n m) -2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (- (/ (+ n m) 2) M) (+ (/ (+ n m) -2) M) (- (fabs (- m n)) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 74 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (pow 1 2)) (pow (- (/ (+ m n) 2) M) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (453 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 75 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (pow 1 2)) (pow (- (/ (+ m n) 2) M) 2) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (495 enodes) * [exit]simplify: Simplified to (exp (fma (+ (/ (+ n m) -2) M) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (+ (/ (+ n m) -2) M) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 76 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 77 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 78 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 79 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 80 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 81 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 82 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 83 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 84 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 85 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- 1) (pow (- (/ (+ m n) 2) M) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (448 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 86 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- 1) (pow (- (/ (+ m n) 2) M) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (exp (fma (+ M (/ (+ n m) -2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (+ M (/ (+ n m) -2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 87 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- 1) (pow (- (/ (+ m n) 2) M) 2) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 88 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) (- (pow (cbrt (- (/ (+ m n) 2) M)) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (489 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 89 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) (- (pow (cbrt (- (/ (+ m n) 2) M)) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 90 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) (- (pow (cbrt (- (/ (+ m n) 2) M)) 2)) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 91 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 92 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 93 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 94 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (pow 1 2) (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (492 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 95 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (pow 1 2) (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 96 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (pow 1 2) (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 97 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (/ (+ m n) 2) M) (- (- (/ (+ m n) 2) M)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 98 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (/ (+ m n) 2) M) (- (- (/ (+ m n) 2) M)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 99 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (/ (+ m n) 2) M) (- (- (/ (+ m n) 2) M)) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (392 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 100 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 101 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 102 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 103 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 104 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 105 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 106 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 107 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 108 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 109 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) (exp (- (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 110 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) l)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (358 enodes) * [exit]simplify: Simplified to (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- l))) (exp (fabs (- m n)))))) * * * * [misc]progress: [ 111 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (exp (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) (exp (- (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 112 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (/ (exp (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) (exp (- l (fabs (- m n))))))) * * * * [misc]progress: [ 113 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (exp (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (exp (* (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (/ (exp (* (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M))) (exp (- l (fabs (- m n))))))) * * * * [misc]progress: [ 114 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (/ (exp (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) (exp (- l (fabs (- m n))))))) * * * * [misc]progress: [ 115 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))))) * * * * [misc]progress: [ 116 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 117 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 121 / 133 ] simplifiying candidate # * * * * [misc]progress: [ 122 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (* 1 (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 123 / 133 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (cos (fma (+ m n) (* 1/2 K) (- M))) * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (* (cos (fma (+ m n) (* 1/2 K) (- M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 124 / 133 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (cos (fma (+ m n) (* 1/2 K) (- M))) * [misc]simplify: Simplified (2 1) to (λ (K m n M l) (* (cos (fma (+ m n) (* 1/2 K) (- M))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 125 / 133 ] 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 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (fma 1/4 (fma m m (* n n)) (* (* n m) 1/2)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (fma 1/4 (fma m m (* n n)) (* (* n m) 1/2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 126 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow M 2) (+ (* m M) (* M n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (fma (- M) (+ m n) (* M M)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (fma (- M) (+ m n) (* M M))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 127 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow M 2) (+ (* m M) (* M n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (fma (- M) (+ m n) (* M M)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (fma (- M) (+ m n) (* M M))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 128 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* m K) (* K n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [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 (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 129 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* m K) (* K n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [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 (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 130 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* m K) (* K n)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [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 (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 131 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (fabs (- m n))) (+ (* l (exp (fabs (- m n)))) (* 1/4 (* (pow m 2) (exp (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (* (fma (* m m) -1/4 (- 1 l)) (exp (fabs (- m n)))) * [misc]simplify: Simplified (2 2) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (* (fma (* m m) -1/4 (- 1 l)) (exp (fabs (- m n)))))) * * * * [misc]progress: [ 132 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (+ (* m M) (+ (* M n) (fabs (- m n)))) (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (exp (- (- (fma M (+ n m) (fabs (- m n))) (fma (* 1/4 m) m (fma m (* 1/2 n) (* M M)))) (fma (* n n) 1/4 l))) * [misc]simplify: Simplified (2 2) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (fma M (+ n m) (fabs (- m n))) (fma (* 1/4 m) m (fma m (* 1/2 n) (* M M)))) (fma (* n n) 1/4 l))))) * * * * [misc]progress: [ 133 / 133 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (+ (* m M) (+ (* M n) (fabs (- m n)))) (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (exp (- (- (fma M (+ n m) (fabs (- m n))) (fma (* 1/4 m) m (fma m (* 1/2 n) (* M M)))) (fma (* n n) 1/4 l))) * [misc]simplify: Simplified (2 2) to (λ (K m n M l) (* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (- (fma M (+ n m) (fabs (- m n))) (fma (* 1/4 m) m (fma m (* 1/2 n) (* M M)))) (fma (* n n) 1/4 l))))) * * * [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 / 3 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) 0) into (+ (* 1/2 m) (* 1/2 n)) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]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 (pow (- (/ (+ m n) 2) M) 2) 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]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 (+ (* (- (* 1/2 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 (+ (* (- (* 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 (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]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 (+ (* 1/2 (- (* 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 (+ (* 1/2 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 (+ (* 1/2 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 (+ (* 1/2 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 (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) in (m n M) around 0 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]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 (+ (* -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 (+ (* -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 (+ (* -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 (+ (* -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 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) in (m n M l) around 0 * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) in l * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in l * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in l * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) (- M)) into (- (+ (* 1/2 m) (* 1/2 n)) M) * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) 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)) in l * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [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))) 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 (+ (- (+ (* m M) (* M n)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2)))))) (fabs (- m n))) 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 (exp (- (+ (* 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 (exp (- (+ (* 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]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) in M * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in M * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in M * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) 0) into (+ (* 1/2 m) (* 1/2 n)) * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) 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)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m 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))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ l (- (fabs (- m n)))) into (- l (fabs (- m n))) * [misc]backup-simplify: Simplify (- (- l (fabs (- m n)))) into (- (fabs (- m n)) l) * [misc]backup-simplify: Simplify (+ (- (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (* 1/4 (pow m 2))))) (- (fabs (- m n)) l)) into (- (fabs (- m n)) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (+ l (* 1/4 (pow m 2)))))) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow n 2)) (+ l (* 1/4 (pow m 2))))))) into (exp (- (fabs (- m n)) (+ (* 1/2 (* m n)) (+ (* 1/4 (pow m 2)) (+ l (* 1/4 (pow n 2))))))) * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) in n * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in n * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) 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)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [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))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ l (- (fabs (- m n)))) into (- l (fabs (- m n))) * [misc]backup-simplify: Simplify (- (- l (fabs (- m n)))) into (- (fabs (- m n)) l) * [misc]backup-simplify: Simplify (+ (- (* m M) (+ (pow M 2) (* 1/4 (pow m 2)))) (- (fabs (- m n)) l)) into (- (+ (fabs (- m n)) (* m M)) (+ (pow M 2) (+ l (* 1/4 (pow m 2))))) * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- m n)) (* m M)) (+ (pow M 2) (+ l (* 1/4 (pow m 2)))))) into (exp (- (+ (fabs (- m n)) (* m M)) (+ (pow M 2) (+ l (* 1/4 (pow m 2)))))) * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) in m * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]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 (- l (fabs (- m n))) 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)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [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))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ l (- (fabs (- m n)))) into (- l (fabs (- m n))) * [misc]backup-simplify: Simplify (- (- l (fabs (- m n)))) into (- (fabs (- m n)) l) * [misc]backup-simplify: Simplify (+ (- (* M n) (+ (pow M 2) (* 1/4 (pow n 2)))) (- (fabs (- m n)) l)) into (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2))))) * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) into (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) in m * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]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 (- l (fabs (- m n))) 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)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [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))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ l (- (fabs (- m n)))) into (- l (fabs (- m n))) * [misc]backup-simplify: Simplify (- (- l (fabs (- m n)))) into (- (fabs (- m n)) l) * [misc]backup-simplify: Simplify (+ (- (* M n) (+ (pow M 2) (* 1/4 (pow n 2)))) (- (fabs (- m n)) l)) into (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2))))) * [misc]backup-simplify: Simplify (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) into (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 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) (+ l (* 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 (+ l (* 1/4 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [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 (+ l 0) into l * [misc]backup-simplify: Simplify (+ (pow M 2) l) into (+ (pow M 2) l) * [misc]backup-simplify: Simplify (- (+ (pow M 2) l)) into (- (+ (pow M 2) l)) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ (pow M 2) l))) into (- (fabs (- m n)) (+ (pow M 2) l)) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ (pow M 2) l))) into (exp (- (fabs (- m n)) (+ (pow M 2) l))) * [misc]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) (+ (pow M 2) l))) in M * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (+ (pow M 2) l)) 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) l) 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 l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (+ 0 l) into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- l)) into (- (fabs (- m n)) l) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) l)) into (exp (- (fabs (- m n)) l)) * [misc]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) l)) in l * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) l) 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 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 (+ (fabs (- m n)) 0) 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 (+ 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- M (* 1/2 n)) 0) into (- M (* 1/2 n)) * [misc]backup-simplify: Simplify (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) (+ (* (/ (pow (- M (* 1/2 n)) 1) 1)))) into (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) (- M (* 1/2 n))) * [misc]taylor: Taking taylor expansion of (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) (- M (* 1/2 n))) in n * [misc]taylor: Taking taylor expansion of (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 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) (+ l (* 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 (+ l (* 1/4 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [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 (+ l 0) into l * [misc]backup-simplify: Simplify (+ (pow M 2) l) into (+ (pow M 2) l) * [misc]backup-simplify: Simplify (- (+ (pow M 2) l)) into (- (+ (pow M 2) l)) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ (pow M 2) l))) into (- (fabs (- m n)) (+ (pow M 2) l)) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ (pow M 2) l))) into (exp (- (fabs (- m n)) (+ (pow M 2) l))) * [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]backup-simplify: Simplify (* (exp (- (fabs (- m n)) (+ (pow M 2) l))) M) into (* (exp (- (fabs (- m n)) (+ (pow M 2) l))) M) * [misc]taylor: Taking taylor expansion of (* (exp (- (fabs (- m n)) (+ (pow M 2) l))) M) in M * [misc]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) (+ (pow M 2) l))) in M * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (+ (pow M 2) l)) 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) l) 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 l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (+ 0 l) into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- l)) into (- (fabs (- m n)) l) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) l)) into (exp (- (fabs (- m n)) l)) * [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 (* (exp (- (fabs (- m n)) l)) 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ M 0) into M * [misc]backup-simplify: Simplify (* (exp (- (fabs (- m n)) (+ (pow M 2) l))) (+ (* (/ (pow M 1) 1)))) into (* (exp (- (fabs (- m n)) (+ (pow M 2) l))) M) * [misc]taylor: Taking taylor expansion of (* (exp (- (fabs (- m n)) (+ (pow M 2) l))) M) in M * [misc]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) (+ (pow M 2) l))) in M * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (+ (pow M 2) l)) 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) l) 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 l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (+ 0 l) into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- l)) into (- (fabs (- m n)) l) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) l)) into (exp (- (fabs (- m n)) l)) * [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 (* (exp (- (fabs (- m n)) l)) 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 (* (exp (- (fabs (- m n)) l)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 -1) into -1 * [misc]backup-simplify: Simplify (* (exp (fabs (- m n))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (fabs (- m n)))) * [misc]backup-simplify: Simplify (* -1 (exp (fabs (- m n)))) into (* -1 (exp (fabs (- m n)))) * [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) 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]backup-simplify: Simplify (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) (+ (* (/ (pow (- M (* 1/2 n)) 2) 2)) (* (/ (pow -1/4 1) 1)))) into (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) (- (+ (* 1/2 (pow M 2)) (* 1/8 (pow n 2))) (+ 1/4 (* 1/2 (* M n))))) * [misc]taylor: Taking taylor expansion of (* (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) (- (+ (* 1/2 (pow M 2)) (* 1/8 (pow n 2))) (+ 1/4 (* 1/2 (* M n))))) in n * [misc]taylor: Taking taylor expansion of (exp (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2)))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 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) (+ l (* 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 (+ l (* 1/4 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [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 (+ l 0) into l * [misc]backup-simplify: Simplify (+ (pow M 2) l) into (+ (pow M 2) l) * [misc]backup-simplify: Simplify (- (+ (pow M 2) l)) into (- (+ (pow M 2) l)) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ (pow M 2) l))) into (- (fabs (- m n)) (+ (pow M 2) l)) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) (+ (pow M 2) l))) into (exp (- (fabs (- m n)) (+ (pow M 2) l))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (pow M 2)) (* 1/8 (pow n 2))) (+ 1/4 (* 1/2 (* M n)))) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (pow M 2)) (* 1/8 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (pow M 2)) 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 (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 (* 1/8 (pow n 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 (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 (+ 1/4 (* 1/2 (* M n))) 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 (* 1/2 (* 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 (* 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 (* 1/2 (pow M 2)) into (* 1/2 (pow M 2)) * [misc]backup-simplify: Simplify (+ (* 1/2 (pow M 2)) 0) into (* 1/2 (pow M 2)) * [misc]backup-simplify: Simplify (* M 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 1/4 0) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow M 2)) -1/4) into (- (* 1/2 (pow M 2)) 1/4) * [misc]backup-simplify: Simplify (* (exp (- (fabs (- m n)) (+ (pow M 2) l))) (- (* 1/2 (pow M 2)) 1/4)) into (* (- (* 1/2 (pow M 2)) 1/4) (exp (- (fabs (- m n)) (+ (pow M 2) l)))) * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (pow M 2)) 1/4) (exp (- (fabs (- m n)) (+ (pow M 2) l)))) in M * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow M 2)) 1/4) in M * [misc]taylor: Taking taylor expansion of (* 1/2 (pow M 2)) 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 (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 1/4 in M * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) (+ (pow M 2) l))) in M * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (+ (pow M 2) l)) 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) l) 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 l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (+ 0 l) into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- l)) into (- (fabs (- m n)) l) * [misc]backup-simplify: Simplify (exp (- (fabs (- m n)) l)) into (exp (- (fabs (- m n)) l)) * [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 (exp (- (fabs (- m n)) l))) into (* -1/4 (exp (- (fabs (- m n)) l))) * [misc]taylor: Taking taylor expansion of (* -1/4 (exp (- (fabs (- m n)) l))) in l * [misc]taylor: Taking taylor expansion of -1/4 in l * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]taylor: Taking taylor expansion of (exp (- (fabs (- m n)) l)) in l * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) l) 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 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 (+ (fabs (- m n)) 0) into (fabs (- m n)) * [misc]backup-simplify: Simplify (exp (fabs (- m n))) into (exp (fabs (- m n))) * [misc]backup-simplify: Simplify (* -1/4 (exp (fabs (- m n)))) into (* -1/4 (exp (fabs (- m n)))) * [misc]backup-simplify: Simplify (* -1/4 (exp (fabs (- m n)))) into (* -1/4 (exp (fabs (- m n)))) * [misc]backup-simplify: Simplify (+ (* (* -1/4 (exp (fabs (- m n)))) (pow (* 1 (* 1 (* 1 m))) 2)) (+ (* (* -1 (exp (fabs (- m n)))) (* l (* 1 (* 1 1)))) (exp (fabs (- m n))))) into (- (exp (fabs (- m n))) (+ (* l (exp (fabs (- m n)))) (* 1/4 (* (pow m 2) (exp (fabs (- m n))))))) * [misc]approximate: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) in (m n M l) around 0 * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) in l * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in l * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in l * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]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]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) 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))) in l * [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]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) into (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) in M * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in M * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) 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))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) into (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) in n * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) 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))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ -1/4 0) into -1/4 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) into (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) 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))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ -1/4 0) into -1/4 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) into (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) in m * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) 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))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ -1/4 0) into -1/4 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))))) into (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))))) in n * [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]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 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 (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 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 (+ (* 1/2 (/ 1 (* m n))) (+ (/ 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 (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 (+ 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) into -1/4 * [misc]backup-simplify: Simplify (+ 0 -1/4) into -1/4 * [misc]backup-simplify: Simplify (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) into (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 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 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 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 (* 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]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (* 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 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 (+ (* 1/4 (/ 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 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 (+ (* 1/2 (/ 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 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 (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]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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) into (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) * [misc]taylor: Taking taylor expansion of (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) in l * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))))) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) 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]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 l * [misc]taylor: Taking taylor expansion of (/ 1 (* m M)) in l * [misc]taylor: Taking taylor expansion of (* m M) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of M in l * [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 l * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))) 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 (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in l * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in l * [misc]taylor: Taking taylor expansion of 1/4 in l * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow m 2)) in l * [misc]taylor: Taking taylor expansion of (pow m 2) in l * [misc]taylor: Taking taylor expansion of m in l * [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 (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in l * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in l * [misc]taylor: Taking taylor expansion of 1/2 in l * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m n)) 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]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 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in l * [misc]taylor: Taking taylor expansion of (pow M 2) in l * [misc]taylor: Taking taylor expansion of M in l * [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 l * [misc]taylor: Taking taylor expansion of 1/4 in l * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in l * [misc]taylor: Taking taylor expansion of (pow n 2) in l * [misc]taylor: Taking taylor expansion of n in l * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) into (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 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 (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) into (exp (- (+ (/ 1 (* M n)) (+ (/ 1 (* m M)) (fabs (- (/ 1 m) (/ 1 n))))) (+ (/ 1 l) (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))))))) * [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]taylor: Taking taylor expansion of 0 in l * [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 l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (+ (/ 1 (* (/ 1 M) (/ 1 n))) (+ (/ 1 (* (/ 1 m) (/ 1 M))) (fabs (- (/ 1 (/ 1 m)) (/ 1 (/ 1 n)))))) (+ (/ 1 (/ 1 l)) (+ (* 1/4 (/ 1 (pow (/ 1 m) 2))) (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 n)))) (+ (/ 1 (pow (/ 1 M) 2)) (* 1/4 (/ 1 (pow (/ 1 n) 2))))))))) into (exp (- (+ (* m M) (+ (* M n) (fabs (- m n)))) (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))))) * [misc]approximate: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) in (m n M l) around 0 * [misc]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) in l * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in l * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in l * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]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]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) 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)))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) into (exp (- (+ (/ 1 l) (+ (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]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) in M * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in M * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) 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)))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) into (exp (- (+ (/ 1 l) (+ (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]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) in n * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) 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)))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ -1/4 0) into -1/4 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) into (exp (- (+ (/ 1 l) (+ (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]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) 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)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ -1/4 0) into -1/4 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) into (exp (- (+ (/ 1 l) (+ (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]taylor: Taking taylor expansion of (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) in m * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) 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)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ -1/4 0) into -1/4 * [misc]backup-simplify: Simplify (exp (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))))) into (exp (- (+ (/ 1 l) (+ (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]taylor: Taking taylor expansion of (exp (- (+ (/ 1 l) (+ (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)))))))) in n * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 l) (+ (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))))))) in n * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 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 (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 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 (* 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]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 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 (+ (* 1/2 (/ 1 (* m n))) (+ (/ 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 (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 (+ 0 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 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 (exp (- (+ (/ 1 l) (+ (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]taylor: Taking taylor expansion of (exp (- (+ (/ 1 l) (+ (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)))))))) in M * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 l) (+ (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))))))) in M * [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 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]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 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 (+ (* 1/2 (/ 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 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 (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]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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (exp (- (+ (/ 1 l) (+ (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 (exp (- (+ (/ 1 l) (+ (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]taylor: Taking taylor expansion of (exp (- (+ (/ 1 l) (+ (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)))))))) in l * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 l) (+ (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))))))) in l * [misc]taylor: Taking taylor expansion of (+ (/ 1 l) (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M n)) (/ 1 (* m 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 n) (/ 1 m))) (+ (/ 1 (* M n)) (/ 1 (* m M)))) in l * [misc]taylor: Taking taylor expansion of (fabs (- (/ 1 n) (/ 1 m))) in l * [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 l * [misc]taylor: Taking taylor expansion of (/ 1 (* M n)) 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]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 l * [misc]taylor: Taking taylor expansion of (* m M) in l * [misc]taylor: Taking taylor expansion of m in l * [misc]backup-simplify: Simplify m into m * [misc]taylor: Taking taylor expansion of M in l * [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 (+ (* 1/4 (/ 1 (pow m 2))) (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))))) in l * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (pow m 2))) in l * [misc]taylor: Taking taylor expansion of 1/4 in l * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow m 2)) in l * [misc]taylor: Taking taylor expansion of (pow m 2) in l * [misc]taylor: Taking taylor expansion of m in l * [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 (+ (* 1/2 (/ 1 (* m n))) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) in l * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 (* m n))) in l * [misc]taylor: Taking taylor expansion of 1/2 in l * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (* m n)) 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]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 (pow M 2)) (* 1/4 (/ 1 (pow n 2)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (pow M 2)) in l * [misc]taylor: Taking taylor expansion of (pow M 2) in l * [misc]taylor: Taking taylor expansion of M in l * [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 l * [misc]taylor: Taking taylor expansion of 1/4 in l * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow n 2)) in l * [misc]taylor: Taking taylor expansion of (pow n 2) in l * [misc]taylor: Taking taylor expansion of n in l * [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]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (exp (- (+ (/ 1 l) (+ (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 (exp (- (+ (/ 1 l) (+ (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 (exp (- (+ (/ 1 l) (+ (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 (exp (- (+ (/ 1 l) (+ (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]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]taylor: Taking taylor expansion of 0 in l * [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 l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 M * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (- (+ (/ 1 (/ 1 (- l))) (+ (fabs (- (/ 1 (/ 1 (- n))) (/ 1 (/ 1 (- m))))) (+ (/ 1 (* (/ 1 (- M)) (/ 1 (- n)))) (/ 1 (* (/ 1 (- m)) (/ 1 (- M))))))) (+ (* 1/4 (/ 1 (pow (/ 1 (- m)) 2))) (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- n))))) (+ (/ 1 (pow (/ 1 (- M)) 2)) (* 1/4 (/ 1 (pow (/ 1 (- n)) 2)))))))) into (exp (- (+ (* m M) (+ (* M n) (fabs (- m n)))) (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in (m n M l) around 0 * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in l * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in l * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) (- M)) into (- (+ (* 1/2 m) (* 1/2 n)) M) * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) 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)) in l * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in M * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in M * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) 0) into (+ (* 1/2 m) (* 1/2 n)) * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) 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)) in M * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in n * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (+ (* 1/2 m) (- M)) into (- (* 1/2 m) M) * [misc]taylor: Taking taylor expansion of (- l (fabs (- m n))) 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)) in n * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]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 (- l (fabs (- m n))) 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)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ m n) 2) M) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ m n) 2) M) 2) 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]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 (- l (fabs (- m n))) 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)) in m * [misc]backup-simplify: Simplify (fabs (- m n)) into (fabs (- m n)) * [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))) into (- (fabs (- m n))) * [misc]backup-simplify: Simplify (+ l (- (fabs (- m n)))) into (- l (fabs (- m n))) * [misc]backup-simplify: Simplify (- (- l (fabs (- m n)))) into (- (fabs (- m n)) l) * [misc]backup-simplify: Simplify (+ (- (* M n) (+ (pow M 2) (* 1/4 (pow n 2)))) (- (fabs (- m n)) l)) into (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 1/4 (pow n 2))))) * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- m n)) (* M n)) (+ (pow M 2) (+ l (* 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) (+ l (* 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 (+ l (* 1/4 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of l in n * [misc]backup-simplify: Simplify l into l * [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 (+ l 0) into l * [misc]backup-simplify: Simplify (+ (pow M 2) l) into (+ (pow M 2) l) * [misc]backup-simplify: Simplify (- (+ (pow M 2) l)) into (- (+ (pow M 2) l)) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- (+ (pow M 2) l))) into (- (fabs (- m n)) (+ (pow M 2) l)) * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) (+ (pow M 2) l)) 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) l) 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 l in M * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (+ 0 l) into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (+ (fabs (- m n)) (- l)) into (- (fabs (- m n)) l) * [misc]taylor: Taking taylor expansion of (- (fabs (- m n)) l) 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 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 (+ (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 (+ (* (- (* 1/2 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- M (* 1/2 n)) 0) 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]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [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 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]taylor: Taking taylor expansion of 0 in l * [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]taylor: Taking taylor expansion of 0 in l * [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 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [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) 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]taylor: Taking taylor expansion of -1/4 in l * [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 (* 1 m))) 2)) (+ (* -1 (* l (* 1 (* 1 1)))) (fabs (- m n)))) into (- (fabs (- m n)) (+ l (* 1/4 (pow m 2)))) * [misc]approximate: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in (m n M l) around 0 * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in l * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in l * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]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]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) 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))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in M * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in M * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) 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))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in n * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) 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))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) 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))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 m) (/ 1 n)) 2) (/ 1 M)) 2) 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]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) 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))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 m) (/ 1 n))) into (fabs (- (/ 1 m) (/ 1 n))) * [misc]backup-simplify: Simplify (* 1/2 1/2) into 1/4 * [misc]backup-simplify: Simplify (- 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)))) 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 (+ (- (/ 1 M) (* 1/2 (/ 1 n))) 0) 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 (+ (* 1/2 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)))) into (- (fabs (- (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (+ (/ 1 l) (- (fabs (- (/ 1 m) (/ 1 n))))) into (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n)))) * [misc]backup-simplify: Simplify (- (- (/ 1 l) (fabs (- (/ 1 m) (/ 1 n))))) into (- (fabs (- (/ 1 m) (/ 1 n))) (/ 1 l)) * [misc]backup-simplify: Simplify (+ (- (/ 1 (* M n)) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) (- (fabs (- (/ 1 m) (/ 1 n))) (/ 1 l))) into (- (+ (/ 1 (* M n)) (fabs (- (/ 1 m) (/ 1 n)))) (+ (/ 1 l) (+ (/ 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 l) (+ (/ 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 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]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 (- 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 (+ (* 1/2 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 (- (+ (* (/ 1 l) (/ 0 l)))) 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 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 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 (+ (* 1/2 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 (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) 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 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 l) (/ 1 (pow M 2))) into (+ (/ 1 (pow M 2)) (/ 1 l)) * [misc]backup-simplify: Simplify (- (+ (/ 1 (pow M 2)) (/ 1 l))) into (- (+ (/ 1 (pow M 2)) (/ 1 l))) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 m) (/ 1 n))) (- (+ (/ 1 (pow M 2)) (/ 1 l)))) into (- (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 l) (/ 1 (pow M 2)))) * [misc]taylor: Taking taylor expansion of (- (fabs (- (/ 1 m) (/ 1 n))) (+ (/ 1 l) (/ 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 l) (/ 1 (pow M 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)) 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in l * [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]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -1/4 in l * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]taylor: Taking taylor expansion of -1/2 in l * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of -1/4 in l * [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)) (* 0 (/ 0 1)))) 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 (/ 0 2)) (* (* 1/2 (/ 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 0) (+ (* (- (* 1/2 (/ 1 n)) (/ 1 M)) 0) (+ (* 0 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 (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) 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 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 (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) 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 (+ (* 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 (+ 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 M * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 (* 1 (* (/ 1 (/ 1 M)) (* 1 (/ 1 (/ 1 m)))))) (+ (* 1 (* 1 (* (/ 1 (/ 1 M)) (* (/ 1 (/ 1 n)) 1)))) (* -1 (pow (* 1 (* (/ 1 (/ 1 M)) (* 1 1))) 2)))) into (- (+ (* m M) (* M n)) (pow M 2)) * [misc]approximate: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in (m n M l) around 0 * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in l * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in l * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]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]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) 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)))) in l * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in M * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in M * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) 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)))) in M * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in n * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) 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)))) in n * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) 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)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]taylor: Taking taylor expansion of (- (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n)))))) in m * [misc]taylor: Taking taylor expansion of (- (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2)) in m * [misc]taylor: Taking taylor expansion of (pow (- (/ (+ (/ 1 (- m)) (/ 1 (- n))) 2) (/ 1 (- M))) 2) 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]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- l)) (fabs (- (/ 1 (- m)) (/ 1 (- n))))) 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)))) in m * [misc]backup-simplify: Simplify (fabs (- (/ 1 (- m)) (/ 1 (- n)))) into (fabs (- (/ 1 n) (/ 1 m))) * [misc]backup-simplify: Simplify (* -1/2 -1/2) into 1/4 * [misc]backup-simplify: Simplify (- 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 (- (+ (* -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 (+ (- (/ 1 M) (* 1/2 (/ 1 n))) 0) 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 (+ (* -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)))) into (- (fabs (- (/ 1 n) (/ 1 m)))) * [misc]backup-simplify: Simplify (+ (/ -1 l) (- (fabs (- (/ 1 n) (/ 1 m))))) into (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l))) * [misc]backup-simplify: Simplify (- (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)))) into (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) * [misc]backup-simplify: Simplify (+ (- (/ 1 (* M n)) (+ (/ 1 (pow M 2)) (* 1/4 (/ 1 (pow n 2))))) (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l))) into (- (+ (fabs (- (/ 1 n) (/ 1 m))) (+ (/ 1 (* M n)) (/ 1 l))) (+ (/ 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 l))) (+ (/ 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)) (/ 1 l))) 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)) (/ 1 l)) 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 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]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 (+ (* -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) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) 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 n * [misc]backup-simplify: Simplify 0 into 0 * [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 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 (+ (* -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) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))) (* 0 (/ 0 (- l))))) 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 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 (/ 1 l)) into (/ 1 l) * [misc]backup-simplify: Simplify (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) into (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) * [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 l)) (- (/ 1 (pow M 2)))) into (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) (/ 1 (pow M 2))) * [misc]taylor: Taking taylor expansion of (- (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) (/ 1 (pow M 2))) in M * [misc]taylor: Taking taylor expansion of (+ (fabs (- (/ 1 n) (/ 1 m))) (/ 1 l)) 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) 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)) 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]taylor: Taking taylor expansion of -1 in l * [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]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of -1/4 in l * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]taylor: Taking taylor expansion of -1/2 in l * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of -1/4 in l * [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 (- 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 (- 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 (/ 0 2)) (* (- (* 1/2 (/ 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 (+ (* -1/2 0) (+ (* (- (/ 1 M) (* 1/2 (/ 1 n))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 M) (* 1/2 (/ 1 n)))) (* 0 -1/2)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))) (* 0 (/ 0 (- l))) (* 0 (/ 0 (- l))))) 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 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 (+ (* M 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (+ (* 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 (+ 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 M) (/ 0 M)) (* 0 (/ 0 M)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 (* 1 (* (/ 1 (/ 1 (- M))) (* 1 (/ 1 (/ 1 (- m))))))) (+ (* 1 (* 1 (* (/ 1 (/ 1 (- M))) (* (/ 1 (/ 1 (- n))) 1)))) (* -1 (pow (* 1 (* (/ 1 (/ 1 (- M))) (* 1 1))) 2)))) into (- (+ (* m M) (* M n)) (pow M 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* 2 (log (- (/ (+ n m) 2) M))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* 1 (exp (- (- (exp (* 2 (log (- (/ (+ n m) 2) M))))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 4 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 195 ] 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) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* 1 (exp (- (- (pow (- (/ (+ n m) 2) M) (* 1 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 6 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* 1 (exp (- (- (* (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (pow (cbrt (- (/ (+ m n) 2) M)) 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 7 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* 1 (exp (- (- (* (- (/ (+ n m) 2) M) (pow (sqrt (- (/ (+ m n) 2) M)) 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 8 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (K m n M l) (* 1 (exp (- (- (* 1 (pow (- (/ (+ m n) 2) M) 2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 9 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))) (cbrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (cbrt (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (pow (exp (* (cbrt (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (cbrt (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))))) (cbrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 21 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (362 enodes) * [exit]simplify: Simplified to (exp (sqrt (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (pow (exp (sqrt (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)))) (sqrt (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 22 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (pow E (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 23 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (454 enodes) * [exit]simplify: Simplified to (exp (+ (sqrt (- l (fabs (- m n)))) (sqrt (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (pow (exp (+ (sqrt (- l (fabs (- m n)))) (sqrt (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))))) (- (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 24 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (pow E (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 25 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (pow E (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 26 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (* (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 27 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (* (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 28 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (* (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 29 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 30 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 31 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (445 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 32 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 33 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 34 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 35 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma -1 (pow (- (/ (+ m n) 2) M) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * [exit]simplify: Simplified to (exp (fma (fma (/ (+ m n) 2) -1 (- (- M))) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (fma (/ (+ m n) 2) -1 (- (- M))) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 36 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma -1 (pow (- (/ (+ m n) 2) M) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * [exit]simplify: Simplified to (exp (fma (fma -1 (/ (+ m n) 2) (- (- M))) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (fma -1 (/ (+ m n) 2) (- (- M))) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 37 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma -1 (pow (- (/ (+ m n) 2) M) 2) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * [exit]simplify: Simplified to (exp (fma (fma -1 (/ (+ m n) 2) (- (- M))) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (fma -1 (/ (+ m n) 2) (- (- M))) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 38 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2)) (pow (cbrt (- (/ (+ m n) 2) M)) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * * [misc]simplify: iters left: 1 (470 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 39 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2)) (pow (cbrt (- (/ (+ m n) 2) M)) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 40 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2)) (pow (cbrt (- (/ (+ m n) 2) M)) 2) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 41 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (405 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 42 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (410 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 43 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (437 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 44 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (pow 1 2)) (pow (- (/ (+ m n) 2) M) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (+ (/ (+ n m) -2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (- (/ (+ n m) 2) M) (+ (/ (+ n m) -2) M) (- (fabs (- m n)) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 45 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (pow 1 2)) (pow (- (/ (+ m n) 2) M) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (453 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 46 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (pow 1 2)) (pow (- (/ (+ m n) 2) M) 2) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (495 enodes) * [exit]simplify: Simplified to (exp (fma (+ (/ (+ n m) -2) M) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (+ (/ (+ n m) -2) M) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 47 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 48 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 49 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 50 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 51 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 52 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 53 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 54 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 55 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 56 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- 1) (pow (- (/ (+ m n) 2) M) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (448 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 57 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- 1) (pow (- (/ (+ m n) 2) M) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (exp (fma (+ M (/ (+ n m) -2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (+ M (/ (+ n m) -2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 58 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- 1) (pow (- (/ (+ m n) 2) M) 2) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (496 enodes) * [exit]simplify: Simplified to (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 59 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) (- (pow (cbrt (- (/ (+ m n) 2) M)) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * * [misc]simplify: iters left: 1 (489 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 60 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) (- (pow (cbrt (- (/ (+ m n) 2) M)) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 61 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) (- (pow (cbrt (- (/ (+ m n) 2) M)) 2)) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 62 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (400 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 63 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 64 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 65 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (pow 1 2) (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (177 enodes) * * [misc]simplify: iters left: 2 (492 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 66 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (pow 1 2) (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (489 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 67 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (pow 1 2) (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 68 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (/ (+ m n) 2) M) (- (- (/ (+ m n) 2) M)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 69 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (/ (+ m n) 2) M) (- (- (/ (+ m n) 2) M)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 70 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (- (/ (+ m n) 2) M) (- (- (/ (+ m n) 2) M)) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (392 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 71 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 72 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 73 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 74 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 75 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 76 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 77 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (exp (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * * * * [misc]progress: [ 78 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (exp (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * * * * [misc]progress: [ 79 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * [exit]simplify: Simplified to (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (- (- (fabs (- m n)) l) (* (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M)))) (exp (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * * * * [misc]progress: [ 80 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) (exp (- (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 81 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) l)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (358 enodes) * [exit]simplify: Simplified to (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- l))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- l))) (exp (fabs (- m n)))))) * * * * [misc]progress: [ 82 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (* (exp (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) (exp (- (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 83 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (/ (exp (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) (exp (- l (fabs (- m n))))))) * * * * [misc]progress: [ 84 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (exp (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (exp (* (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (/ (exp (* (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M))) (exp (- l (fabs (- m n))))))) * * * * [misc]progress: [ 85 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (exp (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (/ (exp (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) (exp (- l (fabs (- m n))))))) * * * * [misc]progress: [ 86 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))))) * * * * [misc]progress: [ 87 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 94 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 95 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 96 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 97 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 98 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (347 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 99 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) 0)))) * * * * [misc]progress: [ 100 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) 0)))) * * * * [misc]progress: [ 101 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1))) 0)))) * * * * [misc]progress: [ 102 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma -1 (pow (- (/ (+ m n) 2) M) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 103 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma -1 (pow (- (/ (+ m n) 2) M) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (fma (+ M (/ (+ m n) -2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (+ M (/ (+ m n) -2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (+ M (/ (+ m n) -2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 104 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma -1 (pow (- (/ (+ m n) 2) M) 2) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (452 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (+ (/ (+ m n) -2) M) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ m n) 2) M) (+ (/ (+ m n) -2) M) (- (fabs (- m n)) l)) (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma -1 (pow (- (/ (+ m n) 2) M) 2) (- (* (- l (fabs (- m n))) 1))) 0)))) * * * * [misc]progress: [ 105 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2)) (pow (cbrt (- (/ (+ m n) 2) M)) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 106 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2)) (pow (cbrt (- (/ (+ m n) 2) M)) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (186 enodes) * * [misc]simplify: iters left: 1 (325 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 107 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2)) (pow (cbrt (- (/ (+ m n) 2) M)) 2) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (377 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 108 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 109 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 110 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (323 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 111 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (pow 1 2)) (pow (- (/ (+ m n) 2) M) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (360 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (+ M (/ (+ n m) -2)) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (+ M (/ (+ n m) -2)) (- (fabs (- m n)) l)) (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (+ M (/ (+ n m) -2)) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 112 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (pow 1 2)) (pow (- (/ (+ m n) 2) M) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (fma (+ M (/ (+ n m) -2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (+ M (/ (+ n m) -2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (+ M (/ (+ n m) -2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 113 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (pow 1 2)) (pow (- (/ (+ m n) 2) M) 2) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (+ (/ (+ n m) -2) M) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (+ (/ (+ n m) -2) M) (- (fabs (- m n)) l)) (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (+ (/ (+ n m) -2) M) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 114 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 115 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 116 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (- (/ (+ m n) 2) M)) (- (/ (+ m n) 2) M) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (377 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 117 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * * [misc]simplify: iters left: 1 (396 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 118 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (431 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 119 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2)))) (cbrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 120 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 121 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 122 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 123 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- 1) (pow (- (/ (+ m n) 2) M) 2) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (358 enodes) * [exit]simplify: Simplified to (fma (+ (/ (+ n m) -2) M) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (+ (/ (+ n m) -2) M) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (+ (/ (+ n m) -2) M) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 124 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- 1) (pow (- (/ (+ m n) 2) M) 2) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (361 enodes) * [exit]simplify: Simplified to (fma (+ M (/ (+ n m) -2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (+ M (/ (+ n m) -2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (+ M (/ (+ n m) -2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 125 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- 1) (pow (- (/ (+ m n) 2) M) 2) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- 1) (pow (- (/ (+ m n) 2) M) 2) (- (* (- l (fabs (- m n))) 1))) 0)))) * * * * [misc]progress: [ 126 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) (- (pow (cbrt (- (/ (+ m n) 2) M)) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 127 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) (- (pow (cbrt (- (/ (+ m n) 2) M)) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 128 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) (- (pow (cbrt (- (/ (+ m n) 2) M)) 2)) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 129 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 130 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 131 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (323 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 132 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 2) (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 133 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 2) (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (381 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- M (/ (+ m n) 2)) (- (/ (+ m n) 2) M) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 134 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (pow 1 2) (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (427 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l)) (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 135 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (/ (+ m n) 2) M) (- (- (/ (+ m n) 2) M)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * [exit]simplify: Simplified to (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 136 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (/ (+ m n) 2) M) (- (- (/ (+ m n) 2) M)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 137 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- (/ (+ m n) 2) M) (- (- (/ (+ m n) 2) M)) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 138 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (397 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 139 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 140 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * * [misc]simplify: iters left: 1 (489 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 141 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (429 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) 0)))) * * * * [misc]progress: [ 142 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 143 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M) l)) 0)))) * * * * [misc]progress: [ 144 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (404 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))) (* (cbrt (- l (fabs (- m n)))) (* (cbrt (- l (fabs (- m n)))) (cbrt (- l (fabs (- m n))))))) * * [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 (63 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) 0)))) * * * * [misc]progress: [ 145 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (- l (fabs (- m n))))) (sqrt (- l (fabs (- m n)))) (* (sqrt (- l (fabs (- m n)))) (sqrt (- l (fabs (- m n)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) 0)))) * * * * [misc]progress: [ 146 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (+ (- (fabs (- m n)) (fma (- (/ (+ m n) 2) M) (- (/ (+ m n) 2) M) l)) (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)))))) * [enter]simplify: Simplifying (fma (- (- l (fabs (- m n)))) 1 (* (- l (fabs (- m n))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (348 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (* (- l (fabs (- m n))) 1))) 0)))) * * * * [misc]progress: [ 147 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 148 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 149 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (439 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M))) (cbrt (* (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (fma (* (cbrt (* (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M))) (cbrt (* (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M)))) (cbrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 150 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow (- (/ (+ m n) 2) M) 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 (66 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (sqrt (* (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M))) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (fma (sqrt (* (- M (/ (+ n m) 2)) (- (/ (+ n m) 2) M))) (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (- (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 151 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 152 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 153 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (+ M (- (/ (+ n m) 2))) (cbrt (- (/ (+ n m) 2) M))) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (fma (* (+ M (- (/ (+ n m) 2))) (cbrt (- (/ (+ n m) 2) M))) (pow (cbrt (- (/ (+ m n) 2) M)) 2) (- (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 154 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (- (- (/ (+ n m) 2) M)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (fma (- (- (/ (+ n m) 2) M)) (pow (sqrt (- (/ (+ m n) 2) M)) 2) (- (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 155 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (fma -1 (pow (- (/ (+ m n) 2) M) 2) (- (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 156 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ (+ m n) 2) M)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- M (/ (+ n m) 2)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (fma (- M (/ (+ n m) 2)) (- (/ (+ m n) 2) M) (- (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 157 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (- (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (fma (- (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))))) (cbrt (pow (- (/ (+ m n) 2) M) 2)) (- (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 158 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (- (fabs (- (/ (+ n m) 2) M))) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (fma (- (fabs (- (/ (+ n m) 2) M))) (sqrt (pow (- (/ (+ m n) 2) M) 2)) (- (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 159 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (fma -1 (pow (- (/ (+ m n) 2) M) 2) (- (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 160 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (- (/ (+ m n) 2) M)) (cbrt (- (/ (+ m n) 2) M))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (fma (* (cbrt (- (/ (+ n m) 2) M)) (- (/ (+ n m) 2) M)) (- (pow (cbrt (- (/ (+ m n) 2) M)) 2)) (- (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 161 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (- (/ (+ m n) 2) M)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (fma (- (/ (+ n m) 2) M) (- (pow (sqrt (- (/ (+ m n) 2) M)) 2)) (- (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 162 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 2) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (fma 1 (- (pow (- (/ (+ m n) 2) M) 2)) (- (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 163 / 195 ] 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) * [exit]simplify: Simplified to (- (/ (+ n m) 2) M) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (fma (- (/ (+ n m) 2) M) (- (- (/ (+ m n) 2) M)) (- (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 164 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (- (/ (+ m n) 2) M) 2)) (cbrt (pow (- (/ (+ m n) 2) M) 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (fma (* (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M))) (cbrt (* (- (/ (+ n m) 2) M) (- (/ (+ n m) 2) M)))) (- (cbrt (pow (- (/ (+ m n) 2) M) 2))) (- (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 165 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (- (/ (+ m n) 2) M) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (fabs (- (/ (+ n m) 2) M)) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (fma (fabs (- (/ (+ n m) 2) M)) (- (sqrt (pow (- (/ (+ m n) 2) M) 2))) (- (- l (fabs (- m n)))))))) * * * * [misc]progress: [ 166 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 167 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (exp (pow (- (/ (+ m n) 2) M) 2))) (exp (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (log (exp (fma (- (/ (+ m n) 2) M) (- M (/ (+ m n) 2)) (- (fabs (- m n)) l))))))) * * * * [misc]progress: [ 168 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (- (pow (- (/ (+ m n) 2) M) 2))) (exp (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (437 enodes) * [exit]simplify: Simplified to (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (log (exp (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l))))))) * * * * [misc]progress: [ 169 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 170 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 171 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 172 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 173 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 174 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 175 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 176 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 177 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 178 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 179 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (+ (sqrt (- l (fabs (- m n)))) (sqrt (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (K m n M l) (* 1 (exp (* (+ (sqrt (- l (fabs (- m n)))) (sqrt (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2))))) (- (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- l (fabs (- m n))))))))) * [enter]simplify: Simplifying (- (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- l (fabs (- m n))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (- (sqrt (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) (sqrt (- l (fabs (- m n))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (* (+ (sqrt (- (pow (- (/ (+ m n) 2) M) 2))) (sqrt (- l (fabs (- m n))))) (- (sqrt (* (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)))) (sqrt (- l (fabs (- m n))))))))) * * * * [misc]progress: [ 180 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (* 1 (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)))))) * * * * [misc]progress: [ 181 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (* 1 (fma (- (/ (+ n m) 2) M) (- M (/ (+ n m) 2)) (- (fabs (- m n)) l)))))) * * * * [misc]progress: [ 182 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fabs (- m n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (- (fabs (- m n))) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (- (- (- (pow (- (/ (+ m n) 2) M) 2)) l) (- (fabs (- m n))))))) * * * * [misc]progress: [ 183 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fabs (- m n))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (- (fabs (- m n))) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (- (- (- (pow (- (/ (+ m n) 2) M) 2)) l) (- (fabs (- m n))))))) * * * * [misc]progress: [ 184 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 185 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (fabs (- m n)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (fabs (- m n)) * [misc]simplify: Simplified (2 2 1 2) to (λ (K m n M l) (* 1 (exp (+ (- (- (pow (- (/ (+ m n) 2) M) 2)) l) (fabs (- m n)))))) * * * * [misc]progress: [ 186 / 195 ] simplifiying candidate # * * * * [misc]progress: [ 187 / 195 ] 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 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (fma 1/4 (fma m m (* n n)) (* (* n m) 1/2)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* 1 (exp (- (- (fma 1/4 (fma m m (* n n)) (* (* n m) 1/2))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 188 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow M 2) (+ (* m M) (* M n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (fma (- M) (+ m n) (* M M)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* 1 (exp (- (- (fma (- M) (+ m n) (* M M))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 189 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow M 2) (+ (* m M) (* M n))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (fma (- M) (+ m n) (* M M)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (K m n M l) (* 1 (exp (- (- (fma (- M) (+ m n) (* M M))) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 190 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (fabs (- m n))) (+ (* l (exp (fabs (- m n)))) (* 1/4 (* (pow m 2) (exp (fabs (- m n))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (* (fma (* m m) -1/4 (- 1 l)) (exp (fabs (- m n)))) * [misc]simplify: Simplified (2 2) to (λ (K m n M l) (* 1 (* (fma (* m m) -1/4 (- 1 l)) (exp (fabs (- m n)))))) * * * * [misc]progress: [ 191 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (+ (* m M) (+ (* M n) (fabs (- m n)))) (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (exp (- (- (fma M (+ n m) (fabs (- m n))) (fma (* 1/4 m) m (fma m (* 1/2 n) (* M M)))) (fma (* n n) 1/4 l))) * [misc]simplify: Simplified (2 2) to (λ (K m n M l) (* 1 (exp (- (- (fma M (+ n m) (fabs (- m n))) (fma (* 1/4 m) m (fma m (* 1/2 n) (* M M)))) (fma (* n n) 1/4 l))))) * * * * [misc]progress: [ 192 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (+ (* m M) (+ (* M n) (fabs (- m n)))) (+ (* 1/4 (pow m 2)) (+ (pow M 2) (+ (* 1/2 (* m n)) (+ l (* 1/4 (pow n 2)))))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (exp (- (- (fma M (+ n m) (fabs (- m n))) (fma (* 1/4 m) m (fma m (* 1/2 n) (* M M)))) (fma (* n n) 1/4 l))) * [misc]simplify: Simplified (2 2) to (λ (K m n M l) (* 1 (exp (- (- (fma M (+ n m) (fabs (- m n))) (fma (* 1/4 m) m (fma m (* 1/2 n) (* M M)))) (fma (* n n) 1/4 l))))) * * * * [misc]progress: [ 193 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fabs (- m n)) (+ l (* 1/4 (pow m 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (- (fabs (- m n)) (fma (* 1/4 m) m l)) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (exp (- (fabs (- m n)) (fma (* 1/4 m) m l))))) * * * * [misc]progress: [ 194 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* m M) (* M n)) (pow M 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (fma (- n M) M (* m M)) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (exp (fma (- n M) M (* m M))))) * * * * [misc]progress: [ 195 / 195 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* m M) (* M n)) (pow M 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (fma (- n M) M (* m M)) * [misc]simplify: Simplified (2 2 1) to (λ (K m n M l) (* 1 (exp (fma (- n M) M (* 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 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K (+ m n)) 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 (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K 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 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K n) 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 (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ 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 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 (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ 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 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]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 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 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 (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 (- M)) 0) (* 0 1)) into 0 * [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 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- 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 (* (sin (- M)) n) in m * [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 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]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* 1/2 (* m (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 (* m (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)) 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 (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 (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) 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 (* 0 (sin (- M))) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- 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 (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- 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 (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- 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 (* (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 (- M)) 0) 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 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 (+ 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 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ m n)))) 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow m 2) (cos (- M))) 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 (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 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]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in 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 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]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 (* 1/4 (* m (* (cos (- M)) n))) 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 (* m (* (cos (- 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 (* (cos (- M)) n) in 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 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]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into 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 (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 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 (* (cos (- M)) n) into (* (cos (- M)) n) * [misc]backup-simplify: Simplify (* 0 (* (cos (- M)) n)) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 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 (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- 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 (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [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 (+ 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 (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) 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 (+ 0 (* 1/2 (sin (- M)))) 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 n * [misc]taylor: Taking taylor expansion of (* 1/2 (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 (sin (- 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 (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 (* 1/2 (sin (- M))) 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 (+ (* -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) 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]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 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [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)) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [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)) 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 K) 1) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [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)) 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 K) 1) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in 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]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 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 (+ (/ 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 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in 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]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 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 (+ (/ 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 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 K) (+ (/ 1 m) (/ 1 n))) 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 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 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 (+ (/ 1/2 K) 0) 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 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 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 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 (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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [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))) 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 K) (- (+ (/ 1 m) (/ 1 n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [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))) 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 K) -1) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [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))) 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 K) -1) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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 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 (- (+ (/ 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 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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 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 (- (+ (/ 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 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 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 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 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 (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) 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 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 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 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 (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 1 1 2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K (+ m n)) 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 (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K 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 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K n) 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 (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ 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 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 (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ 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 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]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 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 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 (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 (- M)) 0) (* 0 1)) into 0 * [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 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- 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 (* (sin (- M)) n) in m * [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 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]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* 1/2 (* m (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 (* m (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)) 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 (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 (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) 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 (* 0 (sin (- M))) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- 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 (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- 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 (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- 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 (* (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 (- M)) 0) 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 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 (+ 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 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ m n)))) 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow m 2) (cos (- M))) 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 (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 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]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in 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 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]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 (* 1/4 (* m (* (cos (- M)) n))) 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 (* m (* (cos (- 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 (* (cos (- M)) n) in 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 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]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into 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 (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 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 (* (cos (- M)) n) into (* (cos (- M)) n) * [misc]backup-simplify: Simplify (* 0 (* (cos (- M)) n)) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 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 (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- 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 (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [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 (+ 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 (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) 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 (+ 0 (* 1/2 (sin (- M)))) 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 n * [misc]taylor: Taking taylor expansion of (* 1/2 (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 (sin (- 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 (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 (* 1/2 (sin (- M))) 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 (+ (* -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) 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]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 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [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)) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [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)) 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 K) 1) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [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)) 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 K) 1) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in 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]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 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 (+ (/ 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 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in 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]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 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 (+ (/ 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 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 K) (+ (/ 1 m) (/ 1 n))) 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 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 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 (+ (/ 1/2 K) 0) 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 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 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 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 (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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [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))) 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 K) (- (+ (/ 1 m) (/ 1 n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [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))) 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 K) -1) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [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))) 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 K) -1) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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 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 (- (+ (/ 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 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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 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 (- (+ (/ 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 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 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 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 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 (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) 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 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 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 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 (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: [ 3 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K (+ m n)) 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 (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K 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 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K n) 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 (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ 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 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 (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ 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 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]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 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 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 (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 (- M)) 0) (* 0 1)) into 0 * [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 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- 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 (* (sin (- M)) n) in m * [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 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]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* 1/2 (* m (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 (* m (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)) 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 (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 (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) 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 (* 0 (sin (- M))) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- 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 (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- 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 (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- 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 (* (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 (- M)) 0) 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 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 (+ 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 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ m n)))) 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow m 2) (cos (- M))) 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 (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 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]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in 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 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]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 (* 1/4 (* m (* (cos (- M)) n))) 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 (* m (* (cos (- 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 (* (cos (- M)) n) in 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 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]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into 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 (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 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 (* (cos (- M)) n) into (* (cos (- M)) n) * [misc]backup-simplify: Simplify (* 0 (* (cos (- M)) n)) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 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 (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- 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 (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [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 (+ 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 (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) 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 (+ 0 (* 1/2 (sin (- M)))) 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 n * [misc]taylor: Taking taylor expansion of (* 1/2 (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 (sin (- 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 (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 (* 1/2 (sin (- M))) 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 (+ (* -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) 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]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 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [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)) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [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)) 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 K) 1) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [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)) 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 K) 1) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in 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]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 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 (+ (/ 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 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in 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]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 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 (+ (/ 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 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 K) (+ (/ 1 m) (/ 1 n))) 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 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 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 (+ (/ 1/2 K) 0) 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 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 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 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 (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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [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))) 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 K) (- (+ (/ 1 m) (/ 1 n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [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))) 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 K) -1) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [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))) 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 K) -1) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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 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 (- (+ (/ 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 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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 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 (- (+ (/ 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 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 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 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 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 (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) 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 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 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 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 (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: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (cos (- (/ (* K (+ m n)) 2) M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* K (+ m n)) 2) M))) in M * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* K (+ m n)) 2) M)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M)))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* K (+ m n)) 2) M))) in M * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K (+ m n)) 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]backup-simplify: Simplify (* (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) * [misc]backup-simplify: Simplify (* (sin (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 0) into (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) * [misc]backup-simplify: Simplify (log (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m))))) into (log (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))))) into (* 1/3 (log (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m))))))) into (pow (cos (+ (* 1/2 (* K n)) (* 1/2 (* K m)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* K (+ m n)) 2) M))) in n * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* K (+ m n)) 2) M)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* K (+ m n)) 2) M))) in n * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K 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 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (* (cos (- (* 1/2 (* K m)) M)) 1) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (* (sin (- (* 1/2 (* K m)) M)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (- (* 1/2 (* K m)) M)) 0) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (log (cos (- (* 1/2 (* K m)) M))) into (log (cos (- (* 1/2 (* K m)) M))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (* 1/2 (* K m)) M)))) into (* 1/3 (log (cos (- (* 1/2 (* K m)) M)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (* 1/2 (* K m)) M))))) into (pow (cos (- (* 1/2 (* K m)) M)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* K (+ m n)) 2) M))) in m * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* K (+ m n)) 2) M)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* K (+ m n)) 2) M))) in m * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K n) 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]backup-simplify: Simplify (log (cos (- (* 1/2 (* K n)) M))) into (log (cos (- (* 1/2 (* K n)) M))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (* 1/2 (* K n)) M)))) into (* 1/3 (log (cos (- (* 1/2 (* K n)) M)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (* 1/2 (* K n)) M))))) into (pow (cos (- (* 1/2 (* K n)) M)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* K (+ m n)) 2) M))) in K * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* K (+ m n)) 2) M)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* K (+ m n)) 2) M))) in K * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ 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 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]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 (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* K (+ m n)) 2) M))) in K * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* K (+ m n)) 2) M)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* K (+ m n)) 2) M)))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* K (+ m n)) 2) M))) in K * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ 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 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]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 (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 1/3) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in 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 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]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in n * [misc]taylor: Taking taylor expansion of (cos (- 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 (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]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 1/3) in M * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in 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 (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow -1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (+ m n)) 0) into (+ (* 1/2 m) (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) 1)) (pow (cos (- M)) 1)))) 1) into (* -1 (+ (* 1/2 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/2 (/ (* m (sin (- M))) (cos (- M)))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1 (+ (* 1/2 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/2 (/ (* m (sin (- M))) (cos (- M))))))) (* 0 (log (cos (- M))))) into (- (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M)))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow (- (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M)))))) 1) 1)))) into (* -1 (* (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M))))) (pow (cos (- M)) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1 (* (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M))))) (pow (cos (- M)) 1/3))) in m * [misc]taylor: Taking taylor expansion of -1 in m * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M))))) (pow (cos (- M)) 1/3)) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/6 in m * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (* (sin (- M)) n) (cos (- M))) in m * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in m * [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 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]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [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 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 (* (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 (- M)) n) into (* (sin (- M)) 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 (/ (* (sin (- M)) n) (cos (- M))) into (/ (* (sin (- M)) n) (cos (- M))) * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (* m (sin (- M))) (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/6 in m * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (* m (sin (- M))) (cos (- M))) in m * [misc]taylor: Taking taylor expansion of (* m (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)) 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 (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) 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 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 (* (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 (+ 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 (* (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 (/ (sin (- M)) (cos (- M))) into (/ (sin (- M)) (cos (- M))) * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 1/3) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in 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 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]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) * [misc]backup-simplify: Simplify (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) into (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) * [misc]backup-simplify: Simplify (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) 0) into (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) * [misc]backup-simplify: Simplify (* (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (pow (cos (- M)) 1/3)) into (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* (sin (- M)) n))) * [misc]backup-simplify: Simplify (* -1 (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* (sin (- M)) n)))) into (* -1/6 (* (* (sin (- M)) n) (pow (/ 1 (pow (cos (- M)) 2)) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1/6 (* (* (sin (- M)) n) (pow (/ 1 (pow (cos (- M)) 2)) 1/3))) in n * [misc]taylor: Taking taylor expansion of -1/6 in n * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]taylor: Taking taylor expansion of (* (* (sin (- M)) n) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)) in n * [misc]taylor: Taking taylor expansion of (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- 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 (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- 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 (/ 1 (pow (cos (- M)) 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow (cos (- M)) 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow (cos (- M)) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 2) in n * [misc]taylor: Taking taylor expansion of (cos (- 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 (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]backup-simplify: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (- M)) 2)) into (/ 1 (pow (cos (- M)) 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow (cos (- M)) 2))) into (log (/ 1 (pow (cos (- M)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) into (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) into (pow (/ 1 (pow (cos (- M)) 2)) 1/3) * [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 (- M)) 0) into 0 * [misc]backup-simplify: Simplify (* 0 (pow (/ 1 (pow (cos (- M)) 2)) 1/3)) into 0 * [misc]backup-simplify: Simplify (* -1/6 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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- M)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (- M))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow 0 1) 1)))) 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 (+ 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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- M)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (- M))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow 0 1) 1)))) 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 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ m n)))) 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) 2)) (pow (cos (- M)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))))) 1)) (pow (cos (- M)) 1)))) 2) into (* -1/2 (+ (* 1/2 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/4 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/4 (pow m 2)) (+ (* 1/4 (pow n 2)) (+ (* 1/2 (* m n)) (* 1/4 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))))))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (* 1/2 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/4 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/4 (pow m 2)) (+ (* 1/4 (pow n 2)) (+ (* 1/2 (* m n)) (* 1/4 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)))))))))) (+ (* 0 (* -1 (+ (* 1/2 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/2 (/ (* m (sin (- M))) (cos (- M))))))) (* 0 (log (cos (- M)))))) into (- (+ (* 1/24 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/12 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow m 2)) (+ (* 1/24 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (+ (* 1/12 (* m n)) (* 1/24 (pow n 2)))))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow (- (+ (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) (* 1/6 (/ (* m (sin (- M))) (cos (- M)))))) 2) 2)) (* (/ (pow (- (+ (* 1/24 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/12 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow m 2)) (+ (* 1/24 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) (+ (* 1/12 (* m n)) (* 1/24 (pow n 2)))))))) 1) 1)))) into (* -1 (* (pow (cos (- M)) 1/3) (+ (* 1/18 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)))))))))) * [misc]taylor: Taking taylor expansion of (* -1 (* (pow (cos (- M)) 1/3) (+ (* 1/18 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)))))))))) in m * [misc]taylor: Taking taylor expansion of -1 in m * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (pow (cos (- M)) 1/3) (+ (* 1/18 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))))))))) in m * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 1/3) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in 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 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]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) * [misc]taylor: Taking taylor expansion of (+ (* 1/18 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)))))))) in m * [misc]taylor: Taking taylor expansion of (* 1/18 (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/18 in m * [misc]backup-simplify: Simplify 1/18 into 1/18 * [misc]taylor: Taking taylor expansion of (/ (* m (* (pow (sin (- M)) 2) n)) (pow (cos (- M)) 2)) in m * [misc]taylor: Taking taylor expansion of (* m (* (pow (sin (- M)) 2) 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 (* (pow (sin (- M)) 2) n) in m * [misc]taylor: Taking taylor expansion of (pow (sin (- M)) 2) in m * [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 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]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 2) in 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 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]backup-simplify: Simplify (* (sin (- M)) (sin (- M))) into (pow (sin (- M)) 2) * [misc]backup-simplify: Simplify (* (pow (sin (- M)) 2) n) into (* (pow (sin (- M)) 2) n) * [misc]backup-simplify: Simplify (* 0 (* (pow (sin (- M)) 2) n)) 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 (+ (* (sin (- M)) 0) (* 0 (sin (- M)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (sin (- M)) 2) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* (pow (sin (- M)) 2) n))) into (* (pow (sin (- M)) 2) n) * [misc]backup-simplify: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) * [misc]backup-simplify: Simplify (/ (* (pow (sin (- M)) 2) n) (pow (cos (- M)) 2)) into (/ (* (pow (sin (- M)) 2) n) (pow (cos (- M)) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))))))) in m * [misc]taylor: Taking taylor expansion of (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/36 in m * [misc]backup-simplify: Simplify 1/36 into 1/36 * [misc]taylor: Taking taylor expansion of (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2)) in m * [misc]taylor: Taking taylor expansion of (* (pow (sin (- M)) 2) (pow n 2)) in m * [misc]taylor: Taking taylor expansion of (pow (sin (- M)) 2) in m * [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 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]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 (pow (cos (- M)) 2) in 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 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]backup-simplify: Simplify (* (sin (- M)) (sin (- M))) into (pow (sin (- M)) 2) * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (* (pow (sin (- M)) 2) (pow n 2)) into (* (pow (sin (- M)) 2) (pow n 2)) * [misc]backup-simplify: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) * [misc]backup-simplify: Simplify (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2)) into (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 1/24 (pow n 2)) (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/24 (pow n 2)) in m * [misc]taylor: Taking taylor expansion of 1/24 in m * [misc]backup-simplify: Simplify 1/24 into 1/24 * [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 (+ (* 1/24 (pow m 2)) (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))))) in m * [misc]taylor: Taking taylor expansion of (* 1/24 (pow m 2)) in m * [misc]taylor: Taking taylor expansion of 1/24 in m * [misc]backup-simplify: Simplify 1/24 into 1/24 * [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 (+ (* 1/12 (* m n)) (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)))) in m * [misc]taylor: Taking taylor expansion of (* 1/12 (* m n)) in m * [misc]taylor: Taking taylor expansion of 1/12 in m * [misc]backup-simplify: Simplify 1/12 into 1/12 * [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 (* 1/36 (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2))) in m * [misc]taylor: Taking taylor expansion of 1/36 in m * [misc]backup-simplify: Simplify 1/36 into 1/36 * [misc]taylor: Taking taylor expansion of (/ (* (pow m 2) (pow (sin (- M)) 2)) (pow (cos (- M)) 2)) in m * [misc]taylor: Taking taylor expansion of (* (pow m 2) (pow (sin (- 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]taylor: Taking taylor expansion of (pow (sin (- M)) 2) in m * [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 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]taylor: Taking taylor expansion of (pow (cos (- M)) 2) in 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 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (sin (- M)) (sin (- M))) into (pow (sin (- M)) 2) * [misc]backup-simplify: Simplify (* 1 (pow (sin (- M)) 2)) into (pow (sin (- M)) 2) * [misc]backup-simplify: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) * [misc]backup-simplify: Simplify (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) into (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) * [misc]backup-simplify: Simplify (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) into (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) * [misc]backup-simplify: Simplify (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (* 1/24 (pow n 2)) into (* 1/24 (pow n 2)) * [misc]backup-simplify: Simplify (* 0 n) into 0 * [misc]backup-simplify: Simplify (* 1/12 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow n 2)) 0) into (* 1/24 (pow n 2)) * [misc]backup-simplify: Simplify (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) into (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2)))) into (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) * [misc]backup-simplify: Simplify (* (pow (cos (- M)) 1/3) (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2)))) into (* (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) (pow (cos (- M)) 1/3)) * [misc]backup-simplify: Simplify (* -1 (* (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) (pow (cos (- M)) 1/3))) into (* -1 (* (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) (pow (cos (- M)) 1/3))) * [misc]taylor: Taking taylor expansion of (* -1 (* (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) (pow (cos (- M)) 1/3))) in n * [misc]taylor: Taking taylor expansion of -1 in n * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) (pow (cos (- M)) 1/3)) in n * [misc]taylor: Taking taylor expansion of (+ (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) (* 1/24 (pow n 2))) in n * [misc]taylor: Taking taylor expansion of (* 1/36 (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2))) in n * [misc]taylor: Taking taylor expansion of 1/36 in n * [misc]backup-simplify: Simplify 1/36 into 1/36 * [misc]taylor: Taking taylor expansion of (/ (* (pow (sin (- M)) 2) (pow n 2)) (pow (cos (- M)) 2)) in n * [misc]taylor: Taking taylor expansion of (* (pow (sin (- M)) 2) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (pow (sin (- M)) 2) in n * [misc]taylor: Taking taylor expansion of (sin (- 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 (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]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 (pow (cos (- M)) 2) in n * [misc]taylor: Taking taylor expansion of (cos (- 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 (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]backup-simplify: Simplify (* (sin (- M)) (sin (- M))) into (pow (sin (- M)) 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow (sin (- M)) 2) 1) into (pow (sin (- M)) 2) * [misc]backup-simplify: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) * [misc]backup-simplify: Simplify (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) into (/ (pow (sin (- M)) 2) (pow (cos (- M)) 2)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow n 2)) in n * [misc]taylor: Taking taylor expansion of 1/24 in n * [misc]backup-simplify: Simplify 1/24 into 1/24 * [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 (pow (cos (- M)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- M))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- M)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- M))) in n * [misc]taylor: Taking taylor expansion of (cos (- 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 (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]backup-simplify: Simplify (log (cos (- M))) into (log (cos (- M))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- M)))) into (* 1/3 (log (cos (- M)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- M))))) into (pow (cos (- M)) 1/3) * [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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- M)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (- M))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* (sin (- M)) 0) (* 0 n)) 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]backup-simplify: Simplify (- (/ 0 (cos (- M))) (+ (* (/ (* (sin (- M)) n) (cos (- M))) (/ 0 (cos (- M)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (/ (* (sin (- M)) n) (cos (- M))))) into 0 * [misc]backup-simplify: Simplify (* 1/6 (/ (sin (- M)) (cos (- M)))) into (* 1/6 (/ (sin (- M)) (cos (- M)))) * [misc]backup-simplify: Simplify (+ 0 (* 1/6 (/ (sin (- M)) (cos (- M))))) into (* 1/6 (/ (sin (- M)) (cos (- M)))) * [misc]backup-simplify: Simplify (+ (* (* 1/6 (/ (* (sin (- M)) n) (cos (- M)))) 0) (* (* 1/6 (/ (sin (- M)) (cos (- M)))) (pow (cos (- M)) 1/3))) into (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M)))) * [misc]backup-simplify: Simplify (+ (* -1 (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) (* 0 (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (* (sin (- M)) n))))) into (- (* 1/6 (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)))) in n * [misc]taylor: Taking taylor expansion of (* 1/6 (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3))) in n * [misc]taylor: Taking taylor expansion of 1/6 in n * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (sin (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)) in n * [misc]taylor: Taking taylor expansion of (sin (- 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 (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- M)) * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow (cos (- M)) 2)) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow (cos (- M)) 2))) in n * [misc]taylor: Taking taylor expansion of (/ 1 (pow (cos (- M)) 2)) in n * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 2) in n * [misc]taylor: Taking taylor expansion of (cos (- 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 (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]backup-simplify: Simplify (* (cos (- M)) (cos (- M))) into (pow (cos (- M)) 2) * [misc]backup-simplify: Simplify (/ 1 (pow (cos (- M)) 2)) into (/ 1 (pow (cos (- M)) 2)) * [misc]backup-simplify: Simplify (log (/ 1 (pow (cos (- M)) 2))) into (log (/ 1 (pow (cos (- M)) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) into (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) into (pow (/ 1 (pow (cos (- M)) 2)) 1/3) * [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 (- M)) (pow (/ 1 (pow (cos (- M)) 2)) 1/3)) into (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))) * [misc]backup-simplify: Simplify (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M)))) into (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M)))) * [misc]backup-simplify: Simplify (- (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) into (- (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))))) in M * [misc]taylor: Taking taylor expansion of (* 1/6 (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M)))) in M * [misc]taylor: Taking taylor expansion of 1/6 in M * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (* (pow (/ 1 (pow (cos (- M)) 2)) 1/3) (sin (- M))) in M * [misc]taylor: Taking taylor expansion of (pow (/ 1 (pow (cos (- M)) 2)) 1/3) in M * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (cos (- M)) 2))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (cos (- M)) 2)))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ 1 (pow (cos (- M)) 2))) in M * [misc]taylor: Taking taylor expansion of (/ 1 (pow (cos (- M)) 2)) in M * [misc]taylor: Taking taylor expansion of (pow (cos (- M)) 2) in 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 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [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 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow -1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 (- 1/2)) (+ (* 0 0) (* (- 1/2) 1))) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1 1)) (* 0 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1 1)))) 2) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (+ (* 0 0) (* 0 0))) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 0) into 0 * [misc]backup-simplify: Simplify (* 1/6 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) 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 0) 2)) (pow (cos (- M)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (- M)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (- M)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- M))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 into 1 * [misc]approximate: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in M * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in M * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [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)) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in n * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in n * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [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)) 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 K) 1) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in m * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in m * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [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)) 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 K) 1) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in K * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in K * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in 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]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 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 (+ (/ 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 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in K * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)))) in K * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in 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]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 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 (+ (/ 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 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) into (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) * [misc]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 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 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 (+ (/ 1/2 K) 0) 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]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in n * [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]backup-simplify: Simplify (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) in M * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) in 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 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) into (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) into (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) * [misc]backup-simplify: Simplify (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) into (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (* (pow (* 1 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (- (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))) (/ 1 M)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (pow (cos (- (+ (* 1/2 (/ 1 (* (/ 1 m) (/ 1 K)))) (* 1/2 (/ 1 (* (/ 1 K) (/ 1 n))))) (/ 1 (/ 1 M)))) 1/3) into (pow (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in M * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in M * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [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))) 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 K) (- (+ (/ 1 m) (/ 1 n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in n * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in n * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [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))) 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 K) -1) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in m * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in m * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [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))) 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 K) -1) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in K * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in K * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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 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 (- (+ (/ 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 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in K * [misc]taylor: Rewrote expression to (pow (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))))) in K * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))))) in K * [misc]taylor: Taking taylor expansion of 1/3 in K * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))))) in K * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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 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 (- (+ (/ 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 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) into (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) * [misc]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in m * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in m * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in m * [misc]taylor: Taking taylor expansion of 1/3 in m * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in m * [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 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 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 (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) 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]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in n * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in n * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in n * [misc]taylor: Taking taylor expansion of 1/3 in n * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in 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]backup-simplify: Simplify (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) in M * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) in M * [misc]taylor: Taking taylor expansion of (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) in M * [misc]taylor: Taking taylor expansion of 1/3 in M * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) in M * [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 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) into (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))) * [misc]backup-simplify: Simplify (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) into (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) * [misc]backup-simplify: Simplify (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) into (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) (+ (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (* (pow (* 1 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (cos (+ (/ 1 M) (+ (* 1/2 (/ 1 (* m K))) (* 1/2 (/ 1 (* K n))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (pow (cos (+ (/ 1 (/ 1 (- M))) (+ (* 1/2 (/ 1 (* (/ 1 (- m)) (/ 1 (- K))))) (* 1/2 (/ 1 (* (/ 1 (- K)) (/ 1 (- n)))))))) 1/3) into (pow (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 1/3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin (- M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 4 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin (- M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 5 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (+ (* (cos M) (cos (/ (+ m n) (/ 2 K)))) (* (sin (/ (* K (+ m n)) 2)) (sin M))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 6 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin (- M)))))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 16 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin (- M)))))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 17 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (+ (* (cos M) (cos (/ (+ m n) (/ 2 K)))) (* (sin (/ (* K (+ m n)) 2)) (sin M))))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 18 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (K m n M l) (* (* (* (cbrt (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin (- M))))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 28 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (K m n M l) (* (* (* (cbrt (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin (- M))))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 29 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [misc]simplify: Simplified (2 1 1 1 1 1) to (λ (K m n M l) (* (* (* (cbrt (+ (* (cos M) (cos (/ (+ m n) (/ 2 K)))) (* (sin (/ (* K (+ m n)) 2)) (sin M)))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 30 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (cos (fma (/ K 2) (+ m n) (- M)))) (cbrt (cos (fma (/ K 2) (+ m n) (- M)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (cbrt (* (cbrt (cos (fma (/ K 2) (+ m n) (- M)))) (cbrt (cos (fma (/ K 2) (+ m n) (- M)))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 44 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (cos (- (/ (* K (+ m n)) 2) M)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cos (fma (+ m n) (/ K 2) (- M))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (cbrt (sqrt (cos (fma (+ m n) (/ K 2) (- M))))) (cbrt (sqrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 45 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* 1 (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 46 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt 1)) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 51 / 61 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (cos (fma (+ m n) (* 1/2 K) (- M))) * [misc]simplify: Simplified (2 1 2 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cos (fma (+ m n) (* 1/2 K) (- M))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 52 / 61 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (cos (fma (+ m n) (* 1/2 K) (- M))) * [misc]simplify: Simplified (2 1 2 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cos (fma (+ m n) (* 1/2 K) (- M))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 53 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt 1)) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 54 / 61 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (cos (fma (+ m n) (* 1/2 K) (- M))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (fma (+ m n) (* 1/2 K) (- M))))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 55 / 61 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (cos (fma (+ m n) (* 1/2 K) (- M))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (fma (+ m n) (* 1/2 K) (- M))))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 56 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1 1) to (λ (K m n M l) (* (* (* (cbrt 1) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 57 / 61 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (cos (fma (+ m n) (* 1/2 K) (- M))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (fma (+ m n) (* 1/2 K) (- M)))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 58 / 61 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (cos (fma (+ m n) (* 1/2 K) (- M))) * [misc]simplify: Simplified (2 1 1 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (fma (+ m n) (* 1/2 K) (- M)))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 59 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) 1) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 60 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 1/3) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (cbrt (cos (fma (+ m n) (* 1/2 K) (- M)))) * [misc]simplify: Simplified (2 1 2) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cos (fma (+ m n) (* 1/2 K) (- M))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 61 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (cos (- (+ (* 1/2 (* m K)) (* 1/2 (* K n))) M)) 1/3) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (cbrt (cos (fma (+ m n) (* 1/2 K) (- M)))) * [misc]simplify: Simplified (2 1 2) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cos (fma (+ m n) (* 1/2 K) (- M))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * [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 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 2 1 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K (+ m n)) 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 (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K 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 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K n) 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 (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ 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 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 (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ 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 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]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 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 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 (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 (- M)) 0) (* 0 1)) into 0 * [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 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- 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 (* (sin (- M)) n) in m * [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 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]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* 1/2 (* m (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 (* m (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)) 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 (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 (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) 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 (* 0 (sin (- M))) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- 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 (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- 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 (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- 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 (* (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 (- M)) 0) 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 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 (+ 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 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ m n)))) 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow m 2) (cos (- M))) 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 (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 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]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in 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 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]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 (* 1/4 (* m (* (cos (- M)) n))) 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 (* m (* (cos (- 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 (* (cos (- M)) n) in 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 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]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into 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 (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 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 (* (cos (- M)) n) into (* (cos (- M)) n) * [misc]backup-simplify: Simplify (* 0 (* (cos (- M)) n)) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 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 (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- 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 (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [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 (+ 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 (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) 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 (+ 0 (* 1/2 (sin (- M)))) 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 n * [misc]taylor: Taking taylor expansion of (* 1/2 (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 (sin (- 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 (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 (* 1/2 (sin (- M))) 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 (+ (* -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) 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]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 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [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)) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [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)) 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 K) 1) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [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)) 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 K) 1) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in 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]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 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 (+ (/ 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 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in 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]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 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 (+ (/ 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 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 K) (+ (/ 1 m) (/ 1 n))) 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 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 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 (+ (/ 1/2 K) 0) 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 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 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 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 (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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [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))) 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 K) (- (+ (/ 1 m) (/ 1 n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [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))) 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 K) -1) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [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))) 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 K) -1) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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 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 (- (+ (/ 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 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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 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 (- (+ (/ 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 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 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 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 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 (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) 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 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 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 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 (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 1 2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K (+ m n)) 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 (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K 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 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K n) 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 (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ 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 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 (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ 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 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]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 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 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 (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 (- M)) 0) (* 0 1)) into 0 * [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 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- 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 (* (sin (- M)) n) in m * [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 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]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* 1/2 (* m (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 (* m (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)) 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 (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 (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) 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 (* 0 (sin (- M))) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- 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 (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- 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 (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- 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 (* (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 (- M)) 0) 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 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 (+ 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 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ m n)))) 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow m 2) (cos (- M))) 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 (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 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]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in 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 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]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 (* 1/4 (* m (* (cos (- M)) n))) 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 (* m (* (cos (- 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 (* (cos (- M)) n) in 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 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]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into 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 (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 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 (* (cos (- M)) n) into (* (cos (- M)) n) * [misc]backup-simplify: Simplify (* 0 (* (cos (- M)) n)) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 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 (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- 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 (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [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 (+ 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 (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) 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 (+ 0 (* 1/2 (sin (- M)))) 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 n * [misc]taylor: Taking taylor expansion of (* 1/2 (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 (sin (- 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 (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 (* 1/2 (sin (- M))) 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 (+ (* -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) 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]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 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [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)) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [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)) 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 K) 1) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [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)) 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 K) 1) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in 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]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 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 (+ (/ 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 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in 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]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 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 (+ (/ 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 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 K) (+ (/ 1 m) (/ 1 n))) 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 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 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 (+ (/ 1/2 K) 0) 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 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 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 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 (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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [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))) 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 K) (- (+ (/ 1 m) (/ 1 n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [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))) 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 K) -1) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [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))) 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 K) -1) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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 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 (- (+ (/ 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 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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 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 (- (+ (/ 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 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 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 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 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 (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) 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 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 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 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 (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: [ 3 / 4 ] generating series at (2 1 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K (+ m n)) 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 (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K 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 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K n) 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 (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ 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 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 (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ 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 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]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 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 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 (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 (- M)) 0) (* 0 1)) into 0 * [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 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- 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 (* (sin (- M)) n) in m * [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 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]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* 1/2 (* m (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 (* m (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)) 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 (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 (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) 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 (* 0 (sin (- M))) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- 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 (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- 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 (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- 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 (* (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 (- M)) 0) 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 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 (+ 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 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ m n)))) 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow m 2) (cos (- M))) 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 (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 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]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in 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 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]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 (* 1/4 (* m (* (cos (- M)) n))) 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 (* m (* (cos (- 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 (* (cos (- M)) n) in 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 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]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into 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 (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 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 (* (cos (- M)) n) into (* (cos (- M)) n) * [misc]backup-simplify: Simplify (* 0 (* (cos (- M)) n)) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 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 (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- 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 (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [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 (+ 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 (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) 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 (+ 0 (* 1/2 (sin (- M)))) 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 n * [misc]taylor: Taking taylor expansion of (* 1/2 (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 (sin (- 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 (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 (* 1/2 (sin (- M))) 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 (+ (* -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) 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]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 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [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)) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [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)) 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 K) 1) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [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)) 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 K) 1) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in 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]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 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 (+ (/ 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 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in 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]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 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 (+ (/ 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 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 K) (+ (/ 1 m) (/ 1 n))) 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 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 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 (+ (/ 1/2 K) 0) 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 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 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 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 (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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [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))) 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 K) (- (+ (/ 1 m) (/ 1 n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [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))) 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 K) -1) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [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))) 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 K) -1) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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 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 (- (+ (/ 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 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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 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 (- (+ (/ 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 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 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 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 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 (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) 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 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 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 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 (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: [ 4 / 4 ] generating series at (2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in M * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in M * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in M * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K (+ m n)) 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 (- (/ (* K (+ m n)) 2) M)) in n * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in n * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in n * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K m) into (* K m) * [misc]backup-simplify: Simplify (/ (* K m) 2) into (* 1/2 (* K 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 (* K m)) (- M)) into (- (* 1/2 (* K m)) M) * [misc]backup-simplify: Simplify (cos (- (* 1/2 (* K m)) M)) into (cos (- (* 1/2 (* K m)) M)) * [misc]backup-simplify: Simplify (sin (- (* 1/2 (* K m)) M)) into (sin (- (* 1/2 (* K m)) M)) * [misc]taylor: Taking taylor expansion of (cos (- (/ (* K (+ m n)) 2) M)) in m * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in m * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in m * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 (* K n) 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 (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ 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 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 (- (/ (* K (+ m n)) 2) M)) in K * [misc]taylor: Taking taylor expansion of (- (/ (* K (+ m n)) 2) M) in K * [misc]taylor: Taking taylor expansion of (/ (* K (+ m n)) 2) in K * [misc]taylor: Taking taylor expansion of (* K (+ m 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 (+ 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 2 in K * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ m n) into (+ m n) * [misc]backup-simplify: Simplify (* 0 (+ m n)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (+ 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 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]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 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 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 (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 (- M)) 0) (* 0 1)) into 0 * [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 (/ (pow (+ (* 1/2 m) (* 1/2 n)) 1) 1))) into (+ (* 1/2 m) (* 1/2 n)) * [misc]backup-simplify: Simplify (+ (* (sin (- M)) (+ (* 1/2 m) (* 1/2 n))) (* 0 0)) into (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))))) into (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (sin (- M)) n)) (* 1/2 (* m (sin (- M))))) in m * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- 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 (* (sin (- M)) n) in m * [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 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]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into n * [misc]taylor: Taking taylor expansion of (* 1/2 (* m (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 (* m (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)) 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 (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 (* (sin (- M)) n) into (* (sin (- M)) n) * [misc]backup-simplify: Simplify (* 1/2 (* (sin (- M)) n)) into (* 1/2 (* (sin (- M)) 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 (* 0 (sin (- M))) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (* (sin (- M)) n)) 0) into (* 1/2 (* (sin (- M)) n)) * [misc]backup-simplify: Simplify (- (* 1/2 (* (sin (- M)) n))) into (- (* 1/2 (* (sin (- M)) n))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (sin (- M)) n))) in n * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sin (- 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 (* (sin (- M)) n) in n * [misc]taylor: Taking taylor expansion of (sin (- 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 (sin (- M)) into (sin (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (cos (- M)) into (cos (- 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 (* (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 (- M)) 0) 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 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 (+ 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 m) (* 1/2 n)) 2) 2)) 0) into (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2))))) * [misc]backup-simplify: Simplify (+ (* (cos (- M)) (- (+ (* 1/4 (* m n)) (+ (* 1/8 (pow n 2)) (* 1/8 (pow m 2)))))) (+ (* 0 0) (* 0 1))) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (+ m n)))) 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (- M)) 0) (+ (* 0 (+ (* 1/2 m) (* 1/2 n))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) 0) into (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))))) in m * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (pow m 2) (cos (- M)))) (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n))))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (pow m 2) (cos (- M)))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (pow m 2) (cos (- M))) 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 (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 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]taylor: Taking taylor expansion of (+ (* 1/8 (* (cos (- M)) (pow n 2))) (* 1/4 (* m (* (cos (- M)) n)))) in m * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 2))) in m * [misc]taylor: Taking taylor expansion of 1/8 in m * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (cos (- M)) (pow n 2)) in 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 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]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 (* 1/4 (* m (* (cos (- M)) n))) 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 (* m (* (cos (- 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 (* (cos (- M)) n) in 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 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]taylor: Taking taylor expansion of n in m * [misc]backup-simplify: Simplify n into 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 (* n n) into (pow n 2) * [misc]backup-simplify: Simplify (* (cos (- M)) (pow n 2)) into (* (cos (- M)) (pow n 2)) * [misc]backup-simplify: Simplify (* 1/8 (* (cos (- M)) (pow n 2))) into (* 1/8 (* (cos (- M)) (pow n 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 (* (cos (- M)) n) into (* (cos (- M)) n) * [misc]backup-simplify: Simplify (* 0 (* (cos (- M)) n)) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (* (cos (- M)) (pow n 2))) 0) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (* (cos (- M)) (pow n 2)))) into (* 1/8 (* (cos (- M)) (pow n 2))) * [misc]backup-simplify: Simplify (- (* 1/8 (* (cos (- M)) (pow n 2)))) into (- (* 1/8 (* (cos (- M)) (pow n 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (* (cos (- M)) (pow n 2)))) in n * [misc]taylor: Taking taylor expansion of (* 1/8 (* (cos (- M)) (pow n 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 (- M)) (pow n 2)) in n * [misc]taylor: Taking taylor expansion of (cos (- 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 (cos (- M)) into (cos (- M)) * [misc]backup-simplify: Simplify (- M) into (- M) * [misc]backup-simplify: Simplify (sin (- M)) into (sin (- M)) * [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 (+ 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 (+ (* (sin (- M)) 0) (* 0 n)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (sin (- M)) n))) 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 (+ 0 (* 1/2 (sin (- M)))) 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 n * [misc]taylor: Taking taylor expansion of (* 1/2 (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 (sin (- 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 (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 (* 1/2 (sin (- M))) 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 (+ (* -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) 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]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 into 1 * [misc]approximate: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in M * [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)) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in n * [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)) 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 K) 1) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in m * [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)) 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 K) 1) 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in 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]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 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 (+ (/ 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 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 K) (+ (/ 1 m) (/ 1 n))) 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 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) (/ 1 M)) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 K) (+ (/ 1 m) (/ 1 n))) in 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]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 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 (+ (/ 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 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 K) (+ (/ 1 m) (/ 1 n))) 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 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 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 (+ (/ 1/2 K) 0) 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 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 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 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 (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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in (K m n M) around 0 * [misc]taylor: Taking taylor expansion of (cos (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in M * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in M * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in M * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in M * [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))) 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 K) (- (+ (/ 1 m) (/ 1 n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in n * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in n * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in n * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in n * [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))) 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 K) -1) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in m * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in m * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in m * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in m * [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))) 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 K) -1) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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 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 (- (+ (/ 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 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M)))) in K * [misc]taylor: Taking taylor expansion of (- (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) (/ 1 (- M))) in K * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 2) in K * [misc]taylor: Taking taylor expansion of (* (/ 1 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) in K * [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))) 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 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 (- (+ (/ 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 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 (- K)) (+ (/ 1 (- m)) (/ 1 (- n)))) 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 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 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 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 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of K in m * [misc]backup-simplify: Simplify K into K * [misc]backup-simplify: Simplify (* 0 K) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 K)) into K * [misc]backup-simplify: Simplify (/ 1 K) into (/ 1 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 (* 1/2 (/ 1 K)) into (/ 1/2 K) * [misc]backup-simplify: Simplify (+ (/ 1/2 K) 0) 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 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 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 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 (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: simplifying candidates * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [misc]simplify: Simplified (2 1 2 2 1 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin (- M)))))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [misc]simplify: Simplified (2 1 2 2 1 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin (- M)))))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [misc]simplify: Simplified (2 1 2 2 1 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (+ (* (cos M) (cos (/ (+ m n) (/ 2 K)))) (* (sin (/ (* K (+ m n)) 2)) (sin M))))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [misc]simplify: Simplified (2 1 2 1 2 1 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin (- M))))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 16 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [misc]simplify: Simplified (2 1 2 1 2 1 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin (- M))))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 17 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [misc]simplify: Simplified (2 1 2 1 2 1 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (+ (* (cos M) (cos (/ (+ m n) (/ 2 K)))) (* (sin (/ (* K (+ m n)) 2)) (sin M)))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 18 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [misc]simplify: Simplified (2 1 2 1 1 1 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin (- M)))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 28 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [misc]simplify: Simplified (2 1 2 1 1 1 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin (- M)))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [misc]simplify: Simplified (2 1 2 1 1 1 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (+ (* (cos M) (cos (/ (+ m n) (/ 2 K)))) (* (sin (/ (* K (+ m n)) 2)) (sin M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 30 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin (- M)))))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos (- M))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (cos (* (/ K 2) (+ m n))) (cos M)) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (- (* (cos (* (/ K 2) (+ m n))) (cos M)) (* (sin (/ (* K (+ m n)) 2)) (sin (- M)))))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 41 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos (/ (* K (+ m n)) 2)) (cos M)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (cos M) (cos (/ (+ m n) (/ 2 K)))) * [misc]simplify: Simplified (2 1 1 2 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (+ (* (cos M) (cos (/ (+ m n) (/ 2 K)))) (* (sin (/ (* K (+ m n)) 2)) (sin M))))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 42 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 2 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt 1)))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 50 / 60 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (cos (fma (+ m n) (* 1/2 K) (- M))) * [misc]simplify: Simplified (2 1 2 2 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (fma (+ m n) (* 1/2 K) (- M))))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 51 / 60 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (cos (fma (+ m n) (* 1/2 K) (- M))) * [misc]simplify: Simplified (2 1 2 2 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (fma (+ m n) (* 1/2 K) (- M))))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 2 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt 1))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 53 / 60 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (cos (fma (+ m n) (* 1/2 K) (- M))) * [misc]simplify: Simplified (2 1 2 1 2 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (fma (+ m n) (* 1/2 K) (- M)))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 54 / 60 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (cos (fma (+ m n) (* 1/2 K) (- M))) * [misc]simplify: Simplified (2 1 2 1 2 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (fma (+ m n) (* 1/2 K) (- M)))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 55 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt 1)) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 56 / 60 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (cos (fma (+ m n) (* 1/2 K) (- M))) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (fma (+ m n) (* 1/2 K) (- M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 57 / 60 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (cos (fma (+ m n) (* 1/2 K) (- M))) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (* (* (cbrt (cbrt (cos (fma (+ m n) (* 1/2 K) (- M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 58 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying 1 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 2 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt 1)) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 59 / 60 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (cos (fma (+ m n) (* 1/2 K) (- M))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (fma (+ m n) (* 1/2 K) (- M))))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * * [misc]progress: [ 60 / 60 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (cos (fma (+ m n) (* 1/2 K) (- M))) * [misc]simplify: Simplified (2 1 1 2 1) to (λ (K m n M l) (* (* (* (cbrt (cos (- (/ (* K (+ m n)) 2) M))) (cbrt (cos (fma (+ m n) (* 1/2 K) (- M))))) (* (* (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M))))) (cbrt (cbrt (cos (- (/ (* K (+ m n)) 2) M)))))) (exp (- (- (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))) * * * [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: #