* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (/ (- 1 (cos x)) (sqr x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (* x x)) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- 1 (cos x)) (sqr x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos x)) (sqr x)) in x * [misc]taylor: Taking taylor expansion of (- 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 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 (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (- 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos x)) (sqr x)) in x * [misc]taylor: Taking taylor expansion of (- 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 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 (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (- 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [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 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 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 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- 1/24) into -1/24 * [misc]backup-simplify: Simplify (+ 0 -1/24) into -1/24 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 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 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720) * [misc]backup-simplify: Simplify (- (- 1/720)) into 1/720 * [misc]backup-simplify: Simplify (+ 0 1/720) into 1/720 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (sqr x)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (sqr x))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (sqr (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (sqr (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ 1 x))) 1) into (- 1 (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (sqr (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ 1 x))) 1) into (- 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (- 0) 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)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 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 (+ 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)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 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 (* (- 1 (cos (/ 1 x))) (sqr (/ 1 x))) into (/ (- 1 (cos (/ 1 x))) (sqr x)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (sqr (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (sqr (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ -1 x))) 1) into (- 1 (cos (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (sqr (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ -1 x))) 1) into (- 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 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 (+ 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)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 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 (* (- 1 (cos (/ -1 x))) (sqr (/ 1 (- x)))) into (/ (- 1 (cos (/ -1 x))) (sqr x)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (- 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- 1/24) into -1/24 * [misc]backup-simplify: Simplify (+ 0 -1/24) into -1/24 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720) * [misc]backup-simplify: Simplify (- (- 1/720)) into 1/720 * [misc]backup-simplify: Simplify (+ 0 1/720) into 1/720 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (sqr x)))) into (- (+ (* 1/2 (sqr x)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) * [misc]approximate: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) * [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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) * [misc]approximate: Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) * [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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (sqr x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (+ (- 1/2 (* x (* x 1/24))) (* 1/720 (pow x 4))) * * * * [misc]progress: [ 2 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos (/ 1 x))) (sqr x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos (/ 1 x))) (* x x)) * * * * [misc]progress: [ 3 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos (/ -1 x))) (sqr x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos (/ -1 x))) (* x x)) * * * * [misc]progress: [ 4 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 1/2 (sqr x)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (sqr x)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (+ (* 1/720 (pow x 6)) (- (* (* x x) 1/2) (* (pow x 4) 1/24))) (* x x)) * * * * [misc]progress: [ 5 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos (/ 1 x))) (sqr x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos (/ 1 x))) (* x x)) * * * * [misc]progress: [ 6 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos (/ -1 x))) (sqr x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos (/ -1 x))) (* x x)) * * * * [misc]progress: [ 7 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 (cos x))) (log (sqr x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (- (log (- 1 (cos x))) (+ (log x) (log x))) * [exit]simplify: Simplified to (- (log (- 1 (cos x))) (+ (log x) (log x))) * * * * [misc]progress: [ 9 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- 1 (cos x)) (sqr x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (log (/ (- 1 (cos x)) (* x x))) * [exit]simplify: Simplified to (log (/ (- 1 (cos x)) (* x x))) * * * * [misc]progress: [ 10 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- 1 (cos x)) (sqr x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (exp (/ (- 1 (cos x)) (* x x))) * [exit]simplify: Simplified to (exp (/ (- 1 (cos x)) (* x x))) * * * * [misc]progress: [ 11 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (- 1 (cos x))) (cube (sqr x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (cube (/ (- 1 (cos x)) (* x x))) * [exit]simplify: Simplified to (cube (/ (- 1 (cos x)) (* x x))) * * * * [misc]progress: [ 12 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- 1 (cos x)) (sqr x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 (cos x)) (* x x))) * [exit]simplify: Simplified to (cbrt (/ (- 1 (cos x)) (* x x))) * * * * [misc]progress: [ 13 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (- 1 (cos x)) (sqr x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (cube (/ (- 1 (cos x)) (* x x))) * [exit]simplify: Simplified to (cube (/ (- 1 (cos x)) (* x x))) * * * * [misc]progress: [ 14 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- 1 (cos x))) (cbrt (sqr x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) (cbrt (* x x))) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) (cbrt (* x x))) * * * * [misc]progress: [ 15 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (cos x)) (sqr x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (cos x)) (* x x))) * [exit]simplify: Simplified to (sqrt (/ (- 1 (cos x)) (* x x))) * * * * [misc]progress: [ 16 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) x) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) x) * * * * [misc]progress: [ 17 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1 (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (- 1 (cos x))) * [exit]simplify: Simplified to (- (- 1 (cos x))) * [enter]simplify: Simplifying (- (sqr x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (* x (- x)) * [exit]simplify: Simplified to (* x (- x)) * * * * [misc]progress: [ 18 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqr x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) x) * [exit]simplify: Simplified to (/ (/ 1 x) x) * [enter]simplify: Simplifying (/ (cos x) (sqr x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (/ (cos x) (sqr x)) * [exit]simplify: Simplified to (/ (cos x) (sqr x)) * * * * [misc]progress: [ 19 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * [enter]simplify: Simplifying (/ (- 1 (cos x)) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * * * * [misc]progress: [ 20 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- 1 (cos x)) (sqr x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (* x x)) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (* x x)) * * * * [misc]progress: [ 21 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqr x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) x) * [exit]simplify: Simplified to (/ (/ 1 x) x) * * * * [misc]progress: [ 23 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr x) (- 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (/ (sqr x) (- 1 (cos x))) * [exit]simplify: Simplified to (/ (sqr x) (- 1 (cos x))) * * * * [misc]progress: [ 24 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos x)) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * * * * [misc]progress: [ 25 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) 1) * [exit]simplify: Simplified to (/ (- 1 (cos x)) 1) * * * * [misc]progress: [ 26 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr x) (- 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (/ (sqr x) (- 1 (cos x))) * [exit]simplify: Simplified to (/ (sqr x) (- 1 (cos x))) * * * * [misc]progress: [ 27 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr x) (+ (sqr 1) (+ (sqr (cos x)) (* 1 (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (* (sqr x) (+ (+ 1 (cos x)) (sqr (cos x)))) * [exit]simplify: Simplified to (* (sqr x) (+ (+ 1 (cos x)) (sqr (cos x)))) * * * * [misc]progress: [ 28 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr x) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (+ (* (cos x) (sqr x)) (sqr x)) * [exit]simplify: Simplified to (+ (* (cos x) (sqr x)) (sqr x)) * * * * [misc]progress: [ 29 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log (- 1 (cos x))) * [exit]simplify: Simplified to (log (- 1 (cos x))) * * * * [misc]progress: [ 31 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (/ E (exp (cos x))) * [exit]simplify: Simplified to (/ E (exp (cos x))) * * * * [misc]progress: [ 32 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (cos x))) * [exit]simplify: Simplified to (cbrt (- 1 (cos x))) * * * * [misc]progress: [ 33 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (cube (- 1 (cos x))) * [exit]simplify: Simplified to (cube (- 1 (cos x))) * * * * [misc]progress: [ 34 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (cos x))) * [exit]simplify: Simplified to (sqrt (- 1 (cos x))) * * * * [misc]progress: [ 35 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos x)) * [exit]simplify: Simplified to (- (cos x)) * * * * [misc]progress: [ 36 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow (cos x) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- 1 (cube (cos x))) * [exit]simplify: Simplified to (- 1 (cube (cos x))) * [enter]simplify: Simplifying (+ (sqr 1) (+ (sqr (cos x)) (* 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (+ (+ 1 (cos x)) (* (cos x) (cos x))) * [exit]simplify: Simplified to (+ (+ 1 (cos x)) (* (cos x) (cos x))) * * * * [misc]progress: [ 38 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr 1) (sqr (cos x))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqr (sin x)) * [exit]simplify: Simplified to (sqr (sin x)) * [enter]simplify: Simplifying (+ 1 (cos x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ 1 (cos x)) * [exit]simplify: Simplified to (+ 1 (cos x)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sqr x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sqr x)) in x * [misc]taylor: Taking taylor expansion of (/ (sqr (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (sqr (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sqr x)) in x * [misc]taylor: Taking taylor expansion of (/ (sqr (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (sqr (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (sqr x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 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 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0 (- 1/2)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ 0 1/24) into 1/24 * [misc]backup-simplify: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (sqr x)) 1/2)) into (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (sqr x))) * [misc]approximate: Taking taylor expansion of (/ (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (sqr (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (sqr (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (sqr (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) 1) into (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (sqr (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (sqr (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [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 (/ (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) 1) into (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) 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)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 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 (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 0 1)) (* 0 (/ 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 (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (sqr (/ 1 x))) into (/ (sqr (sin (/ 1 x))) (* (sqr x) (+ 1 (cos (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (/ (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (sqr (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (sqr (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (sqr (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) into (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 -1) into 1 * [misc]backup-simplify: Simplify (/ (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) 1) into (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (sqr (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (sqr (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) into (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 -1) into 1 * [misc]backup-simplify: Simplify (/ (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) 1) into (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) into (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) 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)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) 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))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) 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)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 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 (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 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 (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 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 (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (sqr (/ 1 (- x)))) into (/ (sqr (sin (/ -1 x))) (* (+ (cos (/ -1 x)) 1) (sqr x))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (+ 1 (cos x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0 (- 1/2)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ 0 1/24) into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (sqr x)) 2)) into (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (sqr x))) * [misc]approximate: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ 1 (cos (/ 1 x))) * [misc]approximate: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (sqr (sin x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) 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 (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (* 1 (sqr x)))) into (- (+ (sqr x) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) * [misc]approximate: Taking taylor expansion of (sqr (sin (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (sqr (sin (/ 1 x))) * [misc]backup-simplify: Simplify (sqr (sin (/ 1 x))) into (sqr (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqr (sin (/ 1 x))) into (sqr (sin (/ 1 x))) * [misc]approximate: Taking taylor expansion of (sqr (sin (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (sqr (sin (/ -1 x))) * [misc]backup-simplify: Simplify (sqr (sin (/ -1 x))) into (sqr (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqr (sin (/ -1 x))) into (sqr (sin (/ -1 x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (sqr (sin x)) (+ 1 (cos x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqr (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (sqr (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (sqr (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (sqr (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 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 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0 (- 1/2)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ 0 1/24) into 1/24 * [misc]backup-simplify: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (sqr x)))) into (- (+ (* 1/2 (sqr x)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) * [misc]approximate: Taking taylor expansion of (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (sqr (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (sqr (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (sqr (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) into (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (sqr (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) into (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) into (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) into (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (sqr x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (+ (- 1/2 (* x (* x 1/24))) (* 1/720 (pow x 4))) * * * * [misc]progress: [ 2 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (sin (/ 1 x))) (* (sqr x) (+ 1 (cos (/ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (sqr (/ (sin (/ 1 x)) x)) (+ 1 (cos (/ 1 x)))) * * * * [misc]progress: [ 3 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (sin (/ -1 x))) (* (+ (cos (/ -1 x)) 1) (sqr x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin (/ -1 x)) x) (/ (sin (/ -1 x)) x)) (+ 1 (cos (/ -1 x)))) * * * * [misc]progress: [ 4 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (sqr x)))) (sqr x)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin x) x) (/ (sin x) x)) (- 2 (- (* 1/2 (sqr x)) (* 1/24 (pow x 4))))) * * * * [misc]progress: [ 5 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (+ 1 (cos (/ 1 x)))) (sqr x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos (/ 1 x)) 1)) * * * * [misc]progress: [ 6 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (+ (cos (/ -1 x)) 1)) (sqr x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (sqr (/ (sin x) x)) (+ (cos (/ -1 x)) 1)) * * * * [misc]progress: [ 7 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (+ (sqr x) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (+ 1 (cos x))) (sqr x)) * * [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 (97 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (+ (- (* (pow x 6) 2/45) (* 1/3 (pow x 4))) (sqr x)) (+ (sqr x) (* (sqr x) (cos x)))) * * * * [misc]progress: [ 8 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin (/ 1 x))) (+ 1 (cos x))) (sqr x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (/ (/ (sin (/ 1 x)) (+ (cos x) 1)) (/ (* x x) (sin (/ 1 x)))) * * * * [misc]progress: [ 9 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin (/ -1 x))) (+ 1 (cos x))) (sqr x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (/ (* (sin (/ -1 x)) (sin (/ -1 x))) (+ (* (cos x) (* x x)) (* x x))) * * * * [misc]progress: [ 10 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 1/2 (sqr x)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (sqr x)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (+ (* 1/720 (pow x 6)) (- (* (* x x) 1/2) (* (pow x 4) 1/24))) (* x x)) * * * * [misc]progress: [ 11 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (sqr x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (/ (/ (sin (/ 1 x)) x) (+ (cos (/ 1 x)) 1)) (/ (sin (/ 1 x)) x)) * * * * [misc]progress: [ 12 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (sqr x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (* (/ (sin (/ -1 x)) x) (/ (/ (sin (/ -1 x)) x) (+ (cos (/ -1 x)) 1))) * * * * [misc]progress: [ 13 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (sqr (sin x))) (log (+ 1 (cos x)))) (log (sqr x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (log (* (sin x) (sin x))) (+ (log (+ (cos x) 1)) (log (sqr x)))) * [exit]simplify: Simplified to (- (log (* (sin x) (sin x))) (+ (log (+ (cos x) 1)) (log (sqr x)))) * * * * [misc]progress: [ 15 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (sqr (sin x)) (+ 1 (cos x)))) (log (sqr x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (- (log (/ (* (sin x) (sin x)) (+ (cos x) 1))) (log (sqr x))) * [exit]simplify: Simplified to (- (log (/ (* (sin x) (sin x)) (+ (cos x) 1))) (log (sqr x))) * * * * [misc]progress: [ 16 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sqr x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) * [exit]simplify: Simplified to (log (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos x) 1))) * * * * [misc]progress: [ 17 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sqr x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (pow (exp (/ (sin x) (sqr x))) (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (pow (exp (/ (sin x) (sqr x))) (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 18 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cube (sqr (sin x))) (cube (+ 1 (cos x)))) (cube (sqr x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (409 enodes) * [exit]simplify: Simplified to (/ (sqr (/ (cube (sin x)) (cube x))) (cube (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (sqr (/ (cube (sin x)) (cube x))) (cube (+ 1 (cos x)))) * * * * [misc]progress: [ 19 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (/ (sqr (sin x)) (+ 1 (cos x)))) (cube (sqr x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (/ (cube (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (cube x) (cube x))) * [exit]simplify: Simplified to (/ (cube (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (cube x) (cube x))) * * * * [misc]progress: [ 20 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sqr x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ (sin x) x) (+ (cos x) 1)) (/ (sin x) x))) * [exit]simplify: Simplified to (cbrt (* (/ (/ (sin x) x) (+ (cos x) 1)) (/ (sin x) x))) * * * * [misc]progress: [ 21 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sqr x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * [exit]simplify: Simplified to (cube (* (/ (/ (sin x) x) (+ (cos x) 1)) (/ (sin x) x))) * [exit]simplify: Simplified to (cube (* (/ (/ (sin x) x) (+ (cos x) 1)) (/ (sin x) x))) * * * * [misc]progress: [ 22 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (sqr (sin x)) (+ 1 (cos x)))) (cbrt (sqr x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* (sin x) (sin x)) (+ (cos x) 1))) (cbrt (sqr x))) * [exit]simplify: Simplified to (/ (cbrt (/ (* (sin x) (sin x)) (+ (cos x) 1))) (cbrt (sqr x))) * * * * [misc]progress: [ 23 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (sqr (sin x))) (cbrt (+ 1 (cos x)))) (cbrt (sqr x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (* (sin x) (sin x))) (cbrt (+ (cos x) 1))) (cbrt (sqr x))) * [exit]simplify: Simplified to (/ (/ (cbrt (* (sin x) (sin x))) (cbrt (+ (cos x) 1))) (cbrt (sqr x))) * * * * [misc]progress: [ 24 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sqr x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (/ (sin x) x) (+ (cos x) 1)) (/ (sin x) x))) * [exit]simplify: Simplified to (sqrt (* (/ (/ (sin x) x) (+ (cos x) 1)) (/ (sin x) x))) * * * * [misc]progress: [ 25 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ (cos x) 1))) x) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ (cos x) 1))) x) * * * * [misc]progress: [ 26 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) x) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (/ (sin x) x) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 27 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (/ (- (sin x)) (+ (cos x) 1)) (sin x)) * [exit]simplify: Simplified to (* (/ (- (sin x)) (+ (cos x) 1)) (sin x)) * [enter]simplify: Simplifying (- (sqr x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (* x (- x)) * [exit]simplify: Simplified to (* x (- x)) * * * * [misc]progress: [ 28 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr 1) 1) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (+ 1 (cos x))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ x (* x (cos x)))) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ x (* x (cos x)))) * * * * [misc]progress: [ 29 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr 1) 1) 1) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sqr x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (/ (sin x) x) (/ (/ (sin x) x) (+ (cos x) 1))) * [exit]simplify: Simplified to (* (/ (sin x) x) (/ (/ (sin x) x) (+ (cos x) 1))) * * * * [misc]progress: [ 30 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin x) 1) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sin x) x) * [exit]simplify: Simplified to (/ (sin x) x) * [enter]simplify: Simplifying (/ (/ (sin x) (+ 1 (cos x))) x) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) x) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (/ (sin x) x) (+ 1 (cos x))) * * * * [misc]progress: [ 31 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin x) 1) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (/ (sin x) 1) * [exit]simplify: Simplified to (/ (sin x) 1) * [enter]simplify: Simplifying (/ (/ (sin x) (+ 1 (cos x))) (sqr x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ (* (cos x) (sqr x)) (sqr x))) * [exit]simplify: Simplified to (/ (sin x) (+ (* (cos x) (sqr x)) (sqr x))) * * * * [misc]progress: [ 32 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (+ 1 (cos x))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ x (* x (cos x)))) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ x (* x (cos x)))) * * * * [misc]progress: [ 33 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sqr x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (/ (sin x) x) (/ (/ (sin x) x) (+ (cos x) 1))) * [exit]simplify: Simplified to (* (/ (sin x) x) (/ (/ (sin x) x) (+ (cos x) 1))) * * * * [misc]progress: [ 34 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (+ 1 (cos x))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ x (* x (cos x)))) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ x (* x (cos x)))) * * * * [misc]progress: [ 35 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sqr x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (/ (sin x) x) (/ (/ (sin x) x) (+ (cos x) 1))) * [exit]simplify: Simplified to (* (/ (sin x) x) (/ (/ (sin x) x) (+ (cos x) 1))) * * * * [misc]progress: [ 36 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (sin x)) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (* (sin x) (/ (sin x) x)) * [exit]simplify: Simplified to (* (sin x) (/ (sin x) x)) * [enter]simplify: Simplifying (/ (/ 1 (+ 1 (cos x))) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (/ 1 x) (+ 1 (cos x))) * * * * [misc]progress: [ 37 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (sin x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (* (/ (sin x) 1) (sin x)) * [exit]simplify: Simplified to (* (/ (sin x) 1) (sin x)) * [enter]simplify: Simplifying (/ (/ 1 (+ 1 (cos x))) (sqr x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* (cos x) (* x x)) (* x x))) * [exit]simplify: Simplified to (/ 1 (+ (* (cos x) (* x x)) (* x x))) * * * * [misc]progress: [ 38 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (- (pow 1 3) (pow (cos x) 3))) x) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin x) x) (sin x)) (- 1 (cube (cos x)))) * [exit]simplify: Simplified to (/ (* (/ (sin x) x) (sin x)) (- 1 (cube (cos x)))) * [enter]simplify: Simplifying (/ (+ (sqr 1) (- (sqr (cos x)) (* 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) x) * [exit]simplify: Simplified to (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) x) * * * * [misc]progress: [ 39 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (- (pow 1 3) (pow (cos x) 3))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (- 1 (cube (cos x)))) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (- 1 (cube (cos x)))) * [enter]simplify: Simplifying (/ (+ (sqr 1) (- (sqr (cos x)) (* 1 (cos x)))) (sqr x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (* x x)) * [exit]simplify: Simplified to (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (* x x)) * * * * [misc]progress: [ 40 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (- (sqr 1) (sqr (cos x)))) x) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * [enter]simplify: Simplifying (/ (- 1 (cos x)) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * * * * [misc]progress: [ 41 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (- (sqr 1) (sqr (cos x)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- 1 (cos x)) (sqr x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (* x x)) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (* x x)) * * * * [misc]progress: [ 42 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqr x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) x) * [exit]simplify: Simplified to (/ (/ 1 x) x) * * * * [misc]progress: [ 44 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr x) (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (* (* (/ x (sin x)) (/ x (sin x))) (+ 1 (cos x))) * [exit]simplify: Simplified to (* (* (/ x (sin x)) (/ x (sin x))) (+ 1 (cos x))) * * * * [misc]progress: [ 45 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (+ 1 (cos x))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ x (* x (cos x)))) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ x (* x (cos x)))) * * * * [misc]progress: [ 46 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (+ 1 (cos x))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ 1 (cos x))) * * * * [misc]progress: [ 47 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr x) (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (* (* (/ x (sin x)) (/ x (sin x))) (+ 1 (cos x))) * [exit]simplify: Simplified to (* (* (/ x (sin x)) (/ x (sin x))) (+ 1 (cos x))) * * * * [misc]progress: [ 48 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr x) (/ (sin x) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (* (+ 1 (cos x)) (/ (sqr x) (sin x))) * [exit]simplify: Simplified to (* (+ 1 (cos x)) (/ (sqr x) (sin x))) * * * * [misc]progress: [ 49 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr x) (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (* (* (/ x (sin x)) (/ x (sin x))) (+ 1 (cos x))) * [exit]simplify: Simplified to (* (* (/ x (sin x)) (/ x (sin x))) (+ 1 (cos x))) * * * * [misc]progress: [ 50 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr x) (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (* (* (/ x (sin x)) (/ x (sin x))) (+ 1 (cos x))) * [exit]simplify: Simplified to (* (* (/ x (sin x)) (/ x (sin x))) (+ 1 (cos x))) * * * * [misc]progress: [ 51 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr x) (/ 1 (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (+ (* (cos x) (sqr x)) (sqr x)) * [exit]simplify: Simplified to (+ (* (cos x) (sqr x)) (sqr x)) * * * * [misc]progress: [ 52 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr x) (+ (sqr 1) (- (sqr (cos x)) (* 1 (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (sqr x) (+ (- 1 (cos x)) (sqr (cos x)))) * [exit]simplify: Simplified to (/ (sqr x) (+ (- 1 (cos x)) (sqr (cos x)))) * * * * [misc]progress: [ 53 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr x) (- 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (/ (sqr x) (- 1 (cos x))) * [exit]simplify: Simplified to (/ (sqr x) (- 1 (cos x))) * * * * [misc]progress: [ 54 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqr x) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (+ (* (cos x) (sqr x)) (sqr x)) * [exit]simplify: Simplified to (+ (* (cos x) (sqr x)) (sqr x)) * * * * [misc]progress: [ 55 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ 1 (cos x))) * [exit]simplify: Simplified to (log (+ 1 (cos x))) * * * * [misc]progress: [ 57 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* E (exp (cos x))) * [exit]simplify: Simplified to (* E (exp (cos x))) * * * * [misc]progress: [ 58 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (cos x))) * [exit]simplify: Simplified to (cbrt (+ 1 (cos x))) * * * * [misc]progress: [ 59 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cube (+ (cos x) 1)) * [exit]simplify: Simplified to (cube (+ (cos x) 1)) * * * * [misc]progress: [ 60 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (cos x))) * [exit]simplify: Simplified to (sqrt (+ 1 (cos x))) * * * * [misc]progress: [ 61 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow (cos x) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- 1 (cube (cos x))) * [exit]simplify: Simplified to (- 1 (cube (cos x))) * [enter]simplify: Simplifying (+ (sqr 1) (- (sqr (cos x)) (* 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (+ (* (cos x) (cos x)) (- 1 (cos x))) * [exit]simplify: Simplified to (+ (* (cos x) (cos x)) (- 1 (cos x))) * * * * [misc]progress: [ 63 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr 1) (sqr (cos x))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqr (sin x)) * [exit]simplify: Simplified to (sqr (sin x)) * [enter]simplify: Simplifying (- 1 (cos x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (- 1 (cos x)) * [exit]simplify: Simplified to (- 1 (cos x)) * * * * [misc]progress: [ 64 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sin x))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin x))) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin x))) * * * * [misc]progress: [ 68 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sin x))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (exp (* (sin x) (sin x))) * [exit]simplify: Simplified to (exp (* (sin x) (sin x))) * * * * [misc]progress: [ 69 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sin x))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* (sin x) (sin x))) * [exit]simplify: Simplified to (cbrt (* (sin x) (sin x))) * * * * [misc]progress: [ 70 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sin x))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (* (cube (sin x)) (cube (sin x))) * [exit]simplify: Simplified to (* (cube (sin x)) (cube (sin x))) * * * * [misc]progress: [ 71 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sin x))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (fabs (sin x)) * [exit]simplify: Simplified to (fabs (sin x)) * * * * [misc]progress: [ 72 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr 1) * [exit]simplify: Simplified to (sqr 1) * [enter]simplify: Simplifying (sqr (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [exit]simplify: Simplified to (* (sin x) (sin x)) * * * * [misc]progress: [ 73 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqr (sin x))) (log (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ (cos x) 1))) * [exit]simplify: Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ (cos x) 1))) * * * * [misc]progress: [ 77 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (log (/ (* (sin x) (sin x)) (+ (cos x) 1))) * [exit]simplify: Simplified to (log (/ (* (sin x) (sin x)) (+ (cos x) 1))) * * * * [misc]progress: [ 78 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (exp (/ (* (sin x) (sin x)) (+ (cos x) 1))) * [exit]simplify: Simplified to (exp (/ (* (sin x) (sin x)) (+ (cos x) 1))) * * * * [misc]progress: [ 79 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (sqr (sin x))) (cube (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * [exit]simplify: Simplified to (/ (* (cube (sin x)) (cube (sin x))) (cube (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (* (cube (sin x)) (cube (sin x))) (cube (+ 1 (cos x)))) * * * * [misc]progress: [ 80 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sin x) (sin x)) (+ (cos x) 1))) * [exit]simplify: Simplified to (cbrt (/ (* (sin x) (sin x)) (+ (cos x) 1))) * * * * [misc]progress: [ 81 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (cube (/ (* (sin x) (sin x)) (+ (cos x) 1))) * [exit]simplify: Simplified to (cube (/ (* (sin x) (sin x)) (+ (cos x) 1))) * * * * [misc]progress: [ 82 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqr (sin x))) (cbrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sin x) (sin x))) (cbrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (cbrt (* (sin x) (sin x))) (cbrt (+ (cos x) 1))) * * * * [misc]progress: [ 83 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (sin x) (sin x)) (+ (cos x) 1))) * [exit]simplify: Simplified to (sqrt (/ (* (sin x) (sin x)) (+ (cos x) 1))) * * * * [misc]progress: [ 84 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 85 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (- (sin x)) (sin x)) * [exit]simplify: Simplified to (* (- (sin x)) (sin x)) * [enter]simplify: Simplifying (- (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (+ 1 (cos x))) * [exit]simplify: Simplified to (- (+ 1 (cos x))) * * * * [misc]progress: [ 86 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (/ (sqr (sin x)) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ (cos x) 1)) * * * * [misc]progress: [ 87 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (sin x) 1) * [exit]simplify: Simplified to (/ (sin x) 1) * [enter]simplify: Simplifying (/ (sin x) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (sin x) (+ 1 (cos x))) * * * * [misc]progress: [ 88 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (sqr (sin x)) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ (cos x) 1)) * * * * [misc]progress: [ 89 / 97 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ 1 (cos x))) * [exit]simplify: Simplified to (/ 1 (+ 1 (cos x))) * * * * [misc]progress: [ 91 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (sqr (sin x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (* (sin x) (sin x))) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (* (sin x) (sin x))) * * * * [misc]progress: [ 92 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (sin x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (* (/ (sin x) 1) (sin x)) * [exit]simplify: Simplified to (* (/ (sin x) 1) (sin x)) * * * * [misc]progress: [ 93 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (sqr (sin x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (* (sin x) (sin x))) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (* (sin x) (sin x))) * * * * [misc]progress: [ 94 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (sin x)) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (sin x)) * * * * [misc]progress: [ 95 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (sqr (sin x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (* (sin x) (sin x))) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (* (sin x) (sin x))) * * * * [misc]progress: [ 96 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (sin x)) (- (pow 1 3) (pow (cos x) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (- 1 (cube (cos x)))) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (- 1 (cube (cos x)))) * * * * [misc]progress: [ 97 / 97 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (sin x)) (- (sqr 1) (sqr (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqr (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) in x * [misc]taylor: Taking taylor expansion of (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) in x * [misc]taylor: Taking taylor expansion of (/ (sin x) (sqrt (+ 1 (cos x)))) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ 1 (sqrt 2)) 1) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (sqr (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) in x * [misc]taylor: Taking taylor expansion of (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) in x * [misc]taylor: Taking taylor expansion of (/ (sin x) (sqrt (+ 1 (cos x)))) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ 1 (sqrt 2)) 1) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) (/ 1 (sqrt 2))) into (/ 1 (sqr (sqrt 2))) * [misc]backup-simplify: Simplify (/ 1 (sqr (sqrt 2))) into (/ 1 (sqr (sqrt 2))) * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 (/ 1 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0 (- 1/2)) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (sqr 0) (+)) (* 2 (sqrt 2))) into (/ -1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (- 1/6) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2))))) (+ (* 0 0) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 1 (sqrt 2))))) into (- (* 1/2 (/ 1 (pow (sqrt 2) 4))) (* 1/3 (/ 1 (sqr (sqrt 2))))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (pow (sqrt 2) 4))) (* 1/3 (/ 1 (sqr (sqrt 2))))) into (- (* 1/2 (/ 1 (pow (sqrt 2) 4))) (* 1/3 (/ 1 (sqr (sqrt 2))))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/4 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2))))) (+ (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) 0) (* 0 (/ 1 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ 0 1/24) into 1/24 * [misc]backup-simplify: Simplify (/ (- 1/24 (sqr (/ -1/4 (sqrt 2))) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/24 (* 1/16 (/ 1 (sqr (sqrt 2))))) (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 1/120 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ (* 1/2 (/ (- 1/24 (* 1/16 (/ 1 (sqr (sqrt 2))))) (sqrt 2))) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (+ (* 1/120 (/ 1 (sqrt 2))) (* 3/32 (/ 1 (pow (sqrt 2) 5)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/120 (/ 1 (sqrt 2))) (* 3/32 (/ 1 (pow (sqrt 2) 5)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (+ (* 1/120 (/ 1 (sqrt 2))) (* 3/32 (/ 1 (pow (sqrt 2) 5)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (- (+ (* 1/120 (/ 1 (sqrt 2))) (* 3/32 (/ 1 (pow (sqrt 2) 5)))) (* 1/16 (/ 1 (pow (sqrt 2) 3))))) (+ (* 0 0) (+ (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2))))) (+ (* 0 0) (* (- (+ (* 1/120 (/ 1 (sqrt 2))) (* 3/32 (/ 1 (pow (sqrt 2) 5)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) (/ 1 (sqrt 2))))))) into (- (+ (* 1/4 (/ 1 (pow (sqrt 2) 6))) (* 2/45 (/ 1 (sqr (sqrt 2))))) (* 5/24 (/ 1 (pow (sqrt 2) 4)))) * [misc]backup-simplify: Simplify (- (+ (* 1/4 (/ 1 (pow (sqrt 2) 6))) (* 2/45 (/ 1 (sqr (sqrt 2))))) (* 5/24 (/ 1 (pow (sqrt 2) 4)))) into (- (+ (* 1/4 (/ 1 (pow (sqrt 2) 6))) (* 2/45 (/ 1 (sqr (sqrt 2))))) (* 5/24 (/ 1 (pow (sqrt 2) 4)))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/4 (/ 1 (pow (sqrt 2) 6))) (* 2/45 (/ 1 (sqr (sqrt 2))))) (* 5/24 (/ 1 (pow (sqrt 2) 4)))) (pow x 4)) (+ (* (- (* 1/2 (/ 1 (pow (sqrt 2) 4))) (* 1/3 (/ 1 (sqr (sqrt 2))))) (sqr x)) (/ 1 (sqr (sqrt 2))))) into (- (+ (* 1/2 (/ (sqr x) (pow (sqrt 2) 4))) (+ (/ 1 (sqr (sqrt 2))) (+ (* 2/45 (/ (pow x 4) (sqr (sqrt 2)))) (* 1/4 (/ (pow x 4) (pow (sqrt 2) 6)))))) (+ (* 1/3 (/ (sqr x) (sqr (sqrt 2)))) (* 5/24 (/ (pow x 4) (pow (sqrt 2) 4))))) * [misc]approximate: Taking taylor expansion of (sqr (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (cos (/ 1 x)))) into (sqrt (+ 1 (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) 1) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (sqr (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (cos (/ 1 x)))) into (sqrt (+ 1 (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) 1) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) * [misc]backup-simplify: Simplify (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x))))))) into (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) into (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (cos (/ 1 x))))) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) 0) (* 0 (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (cos (/ 1 x))))) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (cos (/ 1 x))))) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (cos (/ 1 x))))) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (cos (/ 1 x))))) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (cos (/ 1 x))))) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (sqr (/ 1 x))) into (/ (sqr (sin (/ 1 x))) (* (sqr x) (+ 1 (cos (/ 1 x))))) * [misc]approximate: Taking taylor expansion of (sqr (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (cos (/ -1 x)) 1)) into (sqrt (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (sqrt (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) -1) into (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (sqr (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (cos (/ -1 x)) 1)) into (sqrt (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (sqrt (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) -1) into (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) into (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) 0) (* 0 (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) 0) (+ (* 0 0) (* 0 (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) 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 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (sqr (/ 1 (- x)))) into (/ (sqr (sin (/ -1 x))) (* (+ (cos (/ -1 x)) 1) (sqr x))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (+ 1 (cos x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [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 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0 (- 1/2)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ 0 1/24) into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ (* 1/24 (pow x 4)) (+ (* -1/2 (sqr x)) 2)) into (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (sqr x))) * [misc]approximate: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ 1 (cos (/ 1 x))) * [misc]approximate: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (sin x) (sqrt (+ 1 (cos x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin x) (sqrt (+ 1 (cos x)))) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (sin x) (sqrt (+ 1 (cos x)))) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0 (- 1/2)) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (sqr 0) (+)) (* 2 (sqrt 2))) into (/ -1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (- 1/6) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) into (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/4 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ 0 1/24) into 1/24 * [misc]backup-simplify: Simplify (/ (- 1/24 (sqr (/ -1/4 (sqrt 2))) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/24 (* 1/16 (/ 1 (sqr (sqrt 2))))) (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 1/120 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ (* 1/2 (/ (- 1/24 (* 1/16 (/ 1 (sqr (sqrt 2))))) (sqrt 2))) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (+ (* 1/120 (/ 1 (sqrt 2))) (* 3/32 (/ 1 (pow (sqrt 2) 5)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1/120 (/ 1 (sqrt 2))) (* 3/32 (/ 1 (pow (sqrt 2) 5)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) into (- (+ (* 1/120 (/ 1 (sqrt 2))) (* 3/32 (/ 1 (pow (sqrt 2) 5)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/120 (/ 1 (sqrt 2))) (* 3/32 (/ 1 (pow (sqrt 2) 5)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) (pow x 5)) (+ (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (pow x 3)) (* (/ 1 (sqrt 2)) x))) into (- (+ (* 3/32 (/ (pow x 5) (pow (sqrt 2) 5))) (+ (/ x (sqrt 2)) (+ (* 1/120 (/ (pow x 5) (sqrt 2))) (* 1/4 (/ (pow x 3) (pow (sqrt 2) 3)))))) (+ (* 1/6 (/ (pow x 3) (sqrt 2))) (* 1/16 (/ (pow x 5) (pow (sqrt 2) 3))))) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (cos (/ 1 x)))) into (sqrt (+ 1 (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (cos (/ 1 x)))) into (sqrt (+ 1 (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (cos (/ 1 x))))) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (cos (/ 1 x))))) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (cos (/ 1 x))))) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (cos (/ 1 x))))) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (cos (/ 1 x))))) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (cos (/ 1 x))))) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (cos (/ -1 x)) 1)) into (sqrt (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (sqrt (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (cos (/ -1 x)) 1)) into (sqrt (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (sqrt (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) in x * [misc]taylor: Taking taylor expansion of (/ (sin x) (sqrt (+ 1 (cos x)))) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ 1 (sqrt 2)) 1) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) in x * [misc]taylor: Taking taylor expansion of (/ (sin x) (sqrt (+ 1 (cos x)))) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ 1 (sqrt 2)) 1) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0 (- 1/2)) into -1/2 * [misc]backup-simplify: Simplify (/ (- -1/2 (sqr 0) (+)) (* 2 (sqrt 2))) into (/ -1/4 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ (- 1/6) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) into (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/4 (sqrt 2)))))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ 0 1/24) into 1/24 * [misc]backup-simplify: Simplify (/ (- 1/24 (sqr (/ -1/4 (sqrt 2))) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into (* 1/2 (/ (- 1/24 (* 1/16 (/ 1 (sqr (sqrt 2))))) (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 1/120 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ (* 1/2 (/ (- 1/24 (* 1/16 (/ 1 (sqr (sqrt 2))))) (sqrt 2))) (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ (/ -1/4 (sqrt 2)) (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (+ (* 1/120 (/ 1 (sqrt 2))) (* 3/32 (/ 1 (pow (sqrt 2) 5)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/120 (/ 1 (sqrt 2))) (* 3/32 (/ 1 (pow (sqrt 2) 5)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) 1) (+ (* (/ 1 (sqrt 2)) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (+ (* 1/120 (/ 1 (sqrt 2))) (* 3/32 (/ 1 (pow (sqrt 2) 5)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1/120 (/ 1 (sqrt 2))) (* 3/32 (/ 1 (pow (sqrt 2) 5)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) into (- (+ (* 1/120 (/ 1 (sqrt 2))) (* 3/32 (/ 1 (pow (sqrt 2) 5)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/120 (/ 1 (sqrt 2))) (* 3/32 (/ 1 (pow (sqrt 2) 5)))) (* 1/16 (/ 1 (pow (sqrt 2) 3)))) (pow x 4)) (+ (* (- (* 1/4 (/ 1 (pow (sqrt 2) 3))) (* 1/6 (/ 1 (sqrt 2)))) (sqr x)) (/ 1 (sqrt 2)))) into (- (+ (* 1/120 (/ (pow x 4) (sqrt 2))) (+ (/ 1 (sqrt 2)) (+ (* 3/32 (/ (pow x 4) (pow (sqrt 2) 5))) (* 1/4 (/ (sqr x) (pow (sqrt 2) 3)))))) (+ (* 1/6 (/ (sqr x) (sqrt 2))) (* 1/16 (/ (pow x 4) (pow (sqrt 2) 3))))) * [misc]approximate: Taking taylor expansion of (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (cos (/ 1 x)))) into (sqrt (+ 1 (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) 1) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (/ (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (cos (/ 1 x)))) into (sqrt (+ 1 (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (sqrt (+ 1 (cos (/ 1 x))))) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) 1) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (cos (/ 1 x))))) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (cos (/ 1 x))))) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (cos (/ 1 x))))) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (cos (/ 1 x))))) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (cos (/ 1 x))))) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ 1 (cos (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (cos (/ 1 x))))) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))) (* 0 (/ 0 (sqrt (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 0 1)) (* 0 (/ 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 (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) (/ 1 x)) into (* (/ (sin (/ 1 x)) x) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) * [misc]approximate: Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (cos (/ -1 x)) 1)) into (sqrt (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (sqrt (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) -1) into (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (sqrt (+ 1 (cos (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (sqrt (+ (cos (/ -1 x)) 1)) into (sqrt (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (sqrt (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]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 (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) -1) into (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) into (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) 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 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (+ (cos (/ -1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ (cos (/ -1 x)) 1))) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))) (* 0 (/ 0 (sqrt (+ (cos (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 0 -1)) (* 0 (/ 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 (* (* -1 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x)))) (/ 1 (- x))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ (sin (/ -1 x)) x)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (sqr x) (pow (sqrt 2) 4))) (+ (/ 1 (sqr (sqrt 2))) (+ (* 2/45 (/ (pow x 4) (sqr (sqrt 2)))) (* 1/4 (/ (pow x 4) (pow (sqrt 2) 6)))))) (+ (* 1/3 (/ (sqr x) (sqr (sqrt 2)))) (* 5/24 (/ (pow x 4) (pow (sqrt 2) 4))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (370 enodes) * [exit]simplify: Simplified to (- (+ (+ (+ (/ 1 2) (/ (pow x 4) (/ 2 2/45))) (/ (* (* x x) 1/2) (pow (sqrt 2) 4))) (/ (* 1/4 (pow x 4)) (pow (sqrt 2) 6))) (+ (* (* 1/3 x) (/ x 2)) (/ (* 5/24 (pow x 4)) (pow (sqrt 2) 4)))) * * * * [misc]progress: [ 2 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (sin (/ 1 x))) (* (sqr x) (+ 1 (cos (/ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (sqr (/ (sin (/ 1 x)) x)) (+ 1 (cos (/ 1 x)))) * * * * [misc]progress: [ 3 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (sin (/ -1 x))) (* (+ (cos (/ -1 x)) 1) (sqr x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin (/ -1 x)) x) (/ (sin (/ -1 x)) x)) (+ 1 (cos (/ -1 x)))) * * * * [misc]progress: [ 4 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (/ (/ (sin x) (sqrt (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (sqr x))))) x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin x) x) (/ (sin x) x)) (- (+ 2 (* (pow x 4) 1/24)) (* 1/2 (sqr x)))) * * * * [misc]progress: [ 5 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (/ (/ (sin x) (sqrt (+ 1 (cos (/ 1 x))))) x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos (/ 1 x)) 1)) * * * * [misc]progress: [ 6 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (/ (/ (sin x) (sqrt (+ (cos (/ -1 x)) 1))) x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (sqr (/ (sin x) x)) (+ 1 (cos (/ -1 x)))) * * * * [misc]progress: [ 7 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (/ (- (+ (* 3/32 (/ (pow x 5) (pow (sqrt 2) 5))) (+ (/ x (sqrt 2)) (+ (* 1/120 (/ (pow x 5) (sqrt 2))) (* 1/4 (/ (pow x 3) (pow (sqrt 2) 3)))))) (+ (* 1/6 (/ (pow x 3) (sqrt 2))) (* 1/16 (/ (pow x 5) (pow (sqrt 2) 3))))) x)) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (265 enodes) * * [misc]simplify: iters left: 1 (458 enodes) * [exit]simplify: Simplified to (* (/ (+ (+ (/ 1/120 (/ (sqrt 2) (pow x 5))) (* (- (/ 1/4 2) 1/6) (/ (cube x) (sqrt 2)))) (- (+ (/ x (sqrt 2)) (/ (* 3/32 (pow x 5)) (pow (sqrt 2) 5))) (/ (* (/ 1/16 2) (pow x 5)) (sqrt 2)))) x) (/ (+ (+ (/ 1/120 (/ (sqrt 2) (pow x 5))) (* (- (/ 1/4 2) 1/6) (/ (cube x) (sqrt 2)))) (- (+ (/ x (sqrt 2)) (/ (* 3/32 (pow x 5)) (pow (sqrt 2) 5))) (/ (* (/ 1/16 2) (pow x 5)) (sqrt 2)))) x)) * * * * [misc]progress: [ 8 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (/ (* (sin (/ 1 x)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (* (/ 1 (+ (cos (/ 1 x)) 1)) (sqr (/ (sin (/ 1 x)) x))) * * * * [misc]progress: [ 9 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (/ 1 (+ (cos (/ -1 x)) 1)) (sqr (/ (sin (/ -1 x)) x))) * * * * [misc]progress: [ 10 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (- (+ (* 1/120 (/ (pow x 4) (sqrt 2))) (+ (/ 1 (sqrt 2)) (+ (* 3/32 (/ (pow x 4) (pow (sqrt 2) 5))) (* 1/4 (/ (sqr x) (pow (sqrt 2) 3)))))) (+ (* 1/6 (/ (sqr x) (sqrt 2))) (* 1/16 (/ (pow x 4) (pow (sqrt 2) 3)))))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (sqr (+ (* 1/120 (/ (pow x 4) (sqrt 2))) (+ (+ (/ (* (pow x 4) 3/32) (pow (sqrt 2) 5)) (/ 1 (sqrt 2))) (- (* (/ (* x x) (sqrt 2)) (- (/ 1/4 2) 1/6)) (* (/ 1/16 (sqrt 2)) (/ (pow x 4) 2)))))) * * * * [misc]progress: [ 11 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (* (/ (sin (/ 1 x)) x) (sqrt (/ 1 (+ 1 (cos (/ 1 x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (* (/ (/ (sin (/ 1 x)) x) (+ 1 (cos (/ 1 x)))) (/ (sin (/ 1 x)) x)) * * * * [misc]progress: [ 12 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ (sin (/ -1 x)) x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (* (/ (/ (sin (/ -1 x)) x) (+ (cos (/ -1 x)) 1)) (/ (sin (/ -1 x)) x)) * * * * [misc]progress: [ 13 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (log (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * [exit]simplify: Simplified to (log (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * * * * [misc]progress: [ 16 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (exp (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x))))) * [exit]simplify: Simplified to (exp (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x))))) * * * * [misc]progress: [ 17 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (153 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * [exit]simplify: Simplified to (cbrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * * * * [misc]progress: [ 18 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (228 enodes) * * [misc]simplify: iters left: 1 (436 enodes) * [exit]simplify: Simplified to (cube (/ (sqr (/ (sin x) x)) (+ 1 (cos x)))) * [exit]simplify: Simplified to (cube (/ (sqr (/ (sin x) x)) (+ 1 (cos x)))) * * * * [misc]progress: [ 19 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (fabs (/ (/ (sin x) x) (sqrt (+ 1 (cos x))))) * [exit]simplify: Simplified to (fabs (/ (/ (sin x) x) (sqrt (+ 1 (cos x))))) * * * * [misc]progress: [ 20 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr 1) * [exit]simplify: Simplified to (sqr 1) * [enter]simplify: Simplifying (sqr (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (/ (sqr (/ (sin x) x)) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (sqr (/ (sin x) x)) (+ 1 (cos x))) * * * * [misc]progress: [ 21 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (/ (sin x) (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ 1 (cos x))) * [enter]simplify: Simplifying (sqr (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) x) * [exit]simplify: Simplified to (/ (/ 1 x) x) * * * * [misc]progress: [ 22 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (/ (sin x) (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ 1 (cos x))) * [enter]simplify: Simplifying (sqr x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr x) * [exit]simplify: Simplified to (sqr x) * * * * [misc]progress: [ 23 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ 1 (cos x))) * [exit]simplify: Simplified to (log (+ 1 (cos x))) * * * * [misc]progress: [ 27 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* E (exp (cos x))) * [exit]simplify: Simplified to (* E (exp (cos x))) * * * * [misc]progress: [ 28 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (cos x))) * [exit]simplify: Simplified to (cbrt (+ 1 (cos x))) * * * * [misc]progress: [ 29 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cube (+ (cos x) 1)) * [exit]simplify: Simplified to (cube (+ (cos x) 1)) * * * * [misc]progress: [ 30 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (cos x))) * [exit]simplify: Simplified to (sqrt (+ 1 (cos x))) * * * * [misc]progress: [ 31 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow (cos x) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- 1 (cube (cos x))) * [exit]simplify: Simplified to (- 1 (cube (cos x))) * [enter]simplify: Simplifying (+ (sqr 1) (- (sqr (cos x)) (* 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (+ (* (cos x) (cos x)) (- 1 (cos x))) * [exit]simplify: Simplified to (+ (* (cos x) (cos x)) (- 1 (cos x))) * * * * [misc]progress: [ 33 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr 1) (sqr (cos x))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqr (sin x)) * [exit]simplify: Simplified to (sqr (sin x)) * [enter]simplify: Simplifying (- 1 (cos x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (- 1 (cos x)) * [exit]simplify: Simplified to (- 1 (cos x)) * * * * [misc]progress: [ 34 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sin x)) (log (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (log (sin x)) (log (sqrt (+ (cos x) 1)))) * [exit]simplify: Simplified to (- (log (sin x)) (log (sqrt (+ (cos x) 1)))) * * * * [misc]progress: [ 37 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sin x) (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (log (/ (sin x) (sqrt (+ 1 (cos x))))) * [exit]simplify: Simplified to (log (/ (sin x) (sqrt (+ 1 (cos x))))) * * * * [misc]progress: [ 38 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sin x) (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (/ (sin x) (sqrt (+ 1 (cos x))))) * [exit]simplify: Simplified to (exp (/ (sin x) (sqrt (+ 1 (cos x))))) * * * * [misc]progress: [ 39 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (sin x)) (cube (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (/ (/ (cube (sin x)) (+ (cos x) 1)) (sqrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (/ (cube (sin x)) (+ (cos x) 1)) (sqrt (+ (cos x) 1))) * * * * [misc]progress: [ 40 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sin x) (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin x) (sqrt (+ 1 (cos x))))) * [exit]simplify: Simplified to (cbrt (/ (sin x) (sqrt (+ 1 (cos x))))) * * * * [misc]progress: [ 41 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (sin x) (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ (cube (sin x)) (+ 1 (cos x))) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (/ (cube (sin x)) (+ 1 (cos x))) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 42 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sin x)) (cbrt (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin x)) (cbrt (sqrt (+ (cos x) 1)))) * [exit]simplify: Simplified to (/ (cbrt (sin x)) (cbrt (sqrt (+ (cos x) 1)))) * * * * [misc]progress: [ 43 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))) * [exit]simplify: Simplified to (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))) * * * * [misc]progress: [ 44 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin x)) (sqrt (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin x)) (sqrt (sqrt (+ (cos x) 1)))) * [exit]simplify: Simplified to (/ (sqrt (sin x)) (sqrt (sqrt (+ (cos x) 1)))) * * * * [misc]progress: [ 45 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin x)) * [exit]simplify: Simplified to (- (sin x)) * [enter]simplify: Simplifying (- (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (- (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 46 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (sin x) (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 47 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (sin x) (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 48 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 50 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (cos x))) (sin x)) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (cos x))) (sin x)) * * * * [misc]progress: [ 51 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt 1)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt 1)) * [exit]simplify: Simplified to (/ (sin x) (sqrt 1)) * * * * [misc]progress: [ 52 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (sin x) 1) * [exit]simplify: Simplified to (/ (sin x) 1) * * * * [misc]progress: [ 53 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (cos x))) (sin x)) * [exit]simplify: Simplified to (/ (sqrt (+ 1 (cos x))) (sin x)) * * * * [misc]progress: [ 54 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (- (pow 1 3) (pow (cos x) 3)))) * * [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 (21 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (- 1 (cube (cos x))))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (- 1 (cube (cos x))))) * * * * [misc]progress: [ 55 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (- (sqr 1) (sqr (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (sin x) (fabs (sin x))) * [exit]simplify: Simplified to (/ (sin x) (fabs (sin x))) * * * * [misc]progress: [ 56 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (log (/ (/ (sin x) x) (sqrt (+ 1 (cos x))))) * [exit]simplify: Simplified to (log (/ (/ (sin x) x) (sqrt (+ 1 (cos x))))) * * * * [misc]progress: [ 58 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (exp (/ (/ (sin x) x) (sqrt (+ 1 (cos x))))) * [exit]simplify: Simplified to (exp (/ (/ (sin x) x) (sqrt (+ 1 (cos x))))) * * * * [misc]progress: [ 59 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sin x) x) (sqrt (+ 1 (cos x))))) * [exit]simplify: Simplified to (cbrt (/ (/ (sin x) x) (sqrt (+ 1 (cos x))))) * * * * [misc]progress: [ 60 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (cube (/ (/ (sin x) x) (sqrt (+ 1 (cos x))))) * [exit]simplify: Simplified to (cube (/ (/ (sin x) x) (sqrt (+ 1 (cos x))))) * * * * [misc]progress: [ 61 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sin x) x) (sqrt (+ 1 (cos x))))) * [exit]simplify: Simplified to (sqrt (/ (/ (sin x) x) (sqrt (+ 1 (cos x))))) * * * * [misc]progress: [ 62 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin x) (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (- (sin x)) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (- (sin x)) (sqrt (+ 1 (cos x)))) * [enter]simplify: Simplifying (- x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- x) * [exit]simplify: Simplified to (- x) * * * * [misc]progress: [ 63 / 72 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * * * * [misc]progress: [ 65 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (/ (sin x) (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (* (/ x (sin x)) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (* (/ x (sin x)) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 66 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (/ (sin x) (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (* (/ x (sin x)) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (* (/ x (sin x)) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 67 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (/ (sin x) (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (* (/ x (sin x)) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (* (/ x (sin x)) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 68 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (/ (sin x) (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (* (/ x (sin x)) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (* (/ x (sin x)) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 69 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (/ 1 (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (cos x) 1)) (/ 1 x)) * [exit]simplify: Simplified to (/ (sqrt (+ (cos x) 1)) (/ 1 x)) * * * * [misc]progress: [ 70 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sqrt (+ (sqr 1) (- (sqr (cos x)) (* 1 (cos x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ x (sqrt (+ (- 1 (cos x)) (* (cos x) (cos x))))) * [exit]simplify: Simplified to (/ x (sqrt (+ (- 1 (cos x)) (* (cos x) (cos x))))) * * * * [misc]progress: [ 71 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sqrt (- 1 (cos x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ x (sqrt (- 1 (cos x)))) * [exit]simplify: Simplified to (/ x (sqrt (- 1 (cos x)))) * * * * [misc]progress: [ 72 / 72 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* x (sqrt (+ (cos x) 1))) * [exit]simplify: Simplified to (* x (sqrt (+ (cos x) 1))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * [enter]simplify: Simplifying (/ (- 1 (cos x)) (sqr x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (* x x)) * [enter]simplify: Simplifying (/ (cbrt (- 1 (cos x))) (cbrt (sqr x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) (cbrt (* x x))) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) (cbrt (* x x))) * [enter]simplify: Simplifying (- (+ (* 1/720 (pow x 4)) 1/2) (* 1/24 (sqr x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (+ (- 1/2 (* x (* x 1/24))) (* 1/720 (pow x 4))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqr (sin x)) (+ 1 (cos x)))) (cbrt (sqr x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* (sin x) (sin x)) (+ (cos x) 1))) (cbrt (sqr x))) * [exit]simplify: Simplified to (/ (cbrt (/ (* (sin x) (sin x)) (+ (cos x) 1))) (cbrt (sqr x))) * [enter]simplify: Simplifying (cbrt (/ (- 1 (cos x)) (sqr x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 (cos x)) (* x x))) * [exit]simplify: Simplified to (cbrt (/ (- 1 (cos x)) (* x x))) * [enter]simplify: Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) x) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (/ (sin x) x) (sqrt (+ 1 (cos x)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) x) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) x) * [enter]simplify: Simplifying (- (log (sqr (sin x))) (log (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ (cos x) 1))) * [exit]simplify: Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ (cos x) 1)))