* [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)) (sqr 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 (- (+ (* 1/720 (pow x 6)) (* 1/2 (sqr x))) (* 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 (* 1/24 (sqr x))) (* (pow x 4) 1/720)) * * * * [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))) (sqr 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 (/ (- (+ (* 1/720 (pow x 6)) (* 1/2 (sqr x))) (* 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 (/ (+ (- (* x (* 1/2 x)) (* (pow x 4) 1/24)) (* (pow x 6) 1/720)) (sqr 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))) (sqr 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 (17 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (- (log (- 1 (cos x))) (log (sqr x))) * [exit]simplify: Simplified to (- (log (- 1 (cos x))) (log (sqr 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 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (log (/ (- 1 (cos x)) (sqr x))) * [exit]simplify: Simplified to (log (/ (- 1 (cos x)) (sqr 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)) (sqr x))) * [exit]simplify: Simplified to (exp (/ (- 1 (cos x)) (sqr 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 (23 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (cube (/ (- 1 (cos x)) (sqr x))) * [exit]simplify: Simplified to (cube (/ (- 1 (cos x)) (sqr 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)) (sqr x))) * [exit]simplify: Simplified to (cbrt (/ (- 1 (cos x)) (sqr 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 (86 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (cube (/ (- 1 (cos x)) (sqr x))) * [exit]simplify: Simplified to (cube (/ (- 1 (cos x)) (sqr 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 (sqr x))) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) (cbrt (sqr 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)) (sqr x))) * [exit]simplify: Simplified to (sqrt (/ (- 1 (cos x)) (sqr 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) (* x x)) * [exit]simplify: Simplified to (/ (cos x) (* x 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)) (sqr x)) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (sqr 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 (/ (* x x) (- 1 (cos x))) * [exit]simplify: Simplified to (/ (* x 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 (/ (* x x) (- 1 (cos x))) * [exit]simplify: Simplified to (/ (* x 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 (165 enodes) * * [misc]simplify: iters left: 1 (243 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: [ 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 (+ (* x x) (* (* x x) (cos x))) * [exit]simplify: Simplified to (+ (* x x) (* (* x x) (cos 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 (exp (- 1 (cos x))) * [exit]simplify: Simplified to (exp (- 1 (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 (- (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 (13 enodes) * * [misc]simplify: iters left: 1 (15 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 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (42 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: [ 36 / 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: [ 37 / 38 ] simplifiying candidate # * * * * [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 (* (sin x) (sin x)) * [exit]simplify: Simplified to (* (sin x) (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 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sqr x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sqr x)) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (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 (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 (+ (* 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 (* 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 (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sqr x)) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (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 (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 (+ (* 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 (* 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 (+ (* -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 (* -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 (+ (* 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 (* 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 (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (sqr (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (sqr (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (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 (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 (+ (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]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))) (+ (cos (/ 1 x)) 1)) 1) into (/ (sqr (sin (/ 1 x))) (+ (cos (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (sqr (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (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 (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 (+ (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]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))) (+ (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 (- (+ (* 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 (- (+ (* 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 (- (+ (* 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 (- (+ (* 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 (- (+ (* 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 (- (+ (* 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))) (* (sqr x) (+ (cos (/ 1 x)) 1))) * [misc]approximate: Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (sqr (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (sqr (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (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 (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 (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (sqr (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (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 (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 (+ (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]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) (sin x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin x) (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 (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 (* (sin x) (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 (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 (+ (* 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 (* 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 (+ (* -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 (* -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 (+ (* 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 (* 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 (- (+ (* 2/45 (pow x 6)) (sqr x)) (* 1/3 (pow x 4))) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (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 (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 (* (sin (/ 1 x)) (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 (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 (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (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 (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 (* (sin (/ 1 (- x))) (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 (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 (/ (* (sin x) (sin x)) (+ 1 (cos x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (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 (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 (+ (* 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 (* 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 (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (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 (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 (+ (* 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 (* 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 (+ (* -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 (* -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 (+ (* 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 (* 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 (- (+ (* 1/720 (pow x 6)) (* 1/2 (sqr x))) (* 1/24 (pow x 4))) * [misc]approximate: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (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 (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 (+ (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 (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (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 (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 (+ (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]approximate: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (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 (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 (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (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 (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 / 107 ] 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 (* 1/24 (sqr x))) (* (pow x 4) 1/720)) * * * * [misc]progress: [ 2 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (sin (/ 1 x))) (* (sqr x) (+ (cos (/ 1 x)) 1))) * * [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 (157 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin (/ 1 x)) x) (/ (sin (/ 1 x)) x)) (+ 1 (cos (/ 1 x)))) * * * * [misc]progress: [ 3 / 107 ] 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 (79 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (/ (sin (/ -1 x)) x) (/ (/ (sin (/ -1 x)) x) (+ 1 (cos (/ -1 x))))) * * * * [misc]progress: [ 4 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (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 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin x) (* x x)) (sin x)) (+ (- (* 1/24 (pow x 4)) (* (* x x) 1/2)) 2)) * * * * [misc]progress: [ 5 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ (cos (/ 1 x)) 1)) (sqr x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (/ (/ (sin x) x) (+ (cos (/ 1 x)) 1)) (/ (sin x) x)) * * * * [misc]progress: [ 6 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (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 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos (/ -1 x)))) * * * * [misc]progress: [ 7 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (+ (* 2/45 (pow x 6)) (sqr x)) (* 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 (150 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (/ (+ (* (pow x 6) 2/45) (- (sqr x) (* 1/3 (pow x 4)))) (+ (sqr x) (* (sqr x) (cos x)))) * * * * [misc]progress: [ 8 / 107 ] 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 (76 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (/ (sin (/ 1 x)) (+ (cos x) 1)) (/ (sqr x) (sin (/ 1 x)))) * * * * [misc]progress: [ 9 / 107 ] 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 (77 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (/ (sqr (sin (/ -1 x))) (+ (sqr x) (* (sqr x) (cos x)))) * * * * [misc]progress: [ 10 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 1/720 (pow x 6)) (* 1/2 (sqr x))) (* 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 (/ (+ (- (* x (* 1/2 x)) (* (pow x 4) 1/24)) (* (pow x 6) 1/720)) (sqr x)) * * * * [misc]progress: [ 11 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin (/ 1 x))) (+ (cos (/ 1 x)) 1)) (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 (76 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (* (/ (/ (sin (/ 1 x)) x) (+ (cos (/ 1 x)) 1)) (/ (sin (/ 1 x)) x)) * * * * [misc]progress: [ 12 / 107 ] 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 (77 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin (/ -1 x)) x) (/ (sin (/ -1 x)) x)) (+ 1 (cos (/ -1 x)))) * * * * [misc]progress: [ 13 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (sqr x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (- (- (+ (log (sin x)) (log (sin x))) (log x)) (+ (log x) (log (+ 1 (cos x))))) * [exit]simplify: Simplified to (- (- (+ (log (sin x)) (log (sin x))) (log x)) (+ (log x) (log (+ 1 (cos x))))) * * * * [misc]progress: [ 15 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (sqr x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (+ (log (sin x)) (- (- (log (sin x)) (+ (log x) (log x))) (log (+ 1 (cos x))))) * [exit]simplify: Simplified to (+ (log (sin x)) (- (- (log (sin x)) (+ (log x) (log x))) (log (+ 1 (cos x))))) * * * * [misc]progress: [ 16 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (sqr x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (- (log (/ (sqr (sin x)) (+ 1 (cos x)))) (log (* x x))) * [exit]simplify: Simplified to (- (log (/ (sqr (sin x)) (+ 1 (cos x)))) (log (* x x))) * * * * [misc]progress: [ 17 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (* (sin x) (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 (32 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (log (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x))))) * [exit]simplify: Simplified to (log (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x))))) * * * * [misc]progress: [ 18 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (* (sin x) (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 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (exp (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * [exit]simplify: Simplified to (exp (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * * * * [misc]progress: [ 19 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cube (sin x)) (cube (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 (54 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (426 enodes) * [exit]simplify: Simplified to (/ (cube (/ (sqr (sin x)) (+ (cos x) 1))) (sqr (cube x))) * [exit]simplify: Simplified to (/ (cube (/ (sqr (sin x)) (+ (cos x) 1))) (sqr (cube x))) * * * * [misc]progress: [ 20 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cube (* (sin x) (sin x))) (cube (+ 1 (cos x)))) (cube (sqr x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (/ (cube (/ (sqr (sin x)) (+ 1 (cos x)))) (* (cube x) (cube x))) * [exit]simplify: Simplified to (/ (cube (/ (sqr (sin x)) (+ 1 (cos x)))) (* (cube x) (cube x))) * * * * [misc]progress: [ 21 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cube (sqr x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * [exit]simplify: Simplified to (/ (cube (/ (sqr (sin x)) (+ 1 (cos x)))) (* (cube x) (cube x))) * [exit]simplify: Simplified to (/ (cube (/ (sqr (sin x)) (+ 1 (cos x)))) (* (cube x) (cube x))) * * * * [misc]progress: [ 22 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (* (sin x) (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 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (77 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: [ 23 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (/ (* (sin x) (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 (44 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (430 enodes) * [exit]simplify: Simplified to (cube (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x))))) * [exit]simplify: Simplified to (cube (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x))))) * * * * [misc]progress: [ 24 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sqr x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sqr (sin x)) (+ 1 (cos x)))) (cbrt (* x x))) * [exit]simplify: Simplified to (/ (cbrt (/ (sqr (sin x)) (+ 1 (cos x)))) (cbrt (* x x))) * * * * [misc]progress: [ 25 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (* (sin x) (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 (sqr (sin x))) (cbrt (* x x))) (cbrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (/ (cbrt (sqr (sin x))) (cbrt (* x x))) (cbrt (+ 1 (cos x)))) * * * * [misc]progress: [ 26 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sin x)) (cbrt (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 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin x)) (cbrt (* x x))) (/ (cbrt (sin x)) (cbrt (+ 1 (cos x))))) * [exit]simplify: Simplified to (* (/ (cbrt (sin x)) (cbrt (* x x))) (/ (cbrt (sin x)) (cbrt (+ 1 (cos x))))) * * * * [misc]progress: [ 27 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (sin x) (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 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * [exit]simplify: Simplified to (sqrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * * * * [misc]progress: [ 28 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x) * [exit]simplify: Simplified to (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x) * * * * [misc]progress: [ 29 / 107 ] 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 (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1))) * * * * [misc]progress: [ 30 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (sin x) (sin x))) (sqrt (+ 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 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: [ 31 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sqrt (sin x)) (sqrt (sin x))) (sqrt (+ 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (51 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: [ 32 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (sin x) (/ (+ 1 (cos x)) (- (sin x)))) * [exit]simplify: Simplified to (/ (sin x) (/ (+ 1 (cos x)) (- (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: [ 33 / 107 ] 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) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (/ (sin x) x) (+ (cos x) 1)) * * * * [misc]progress: [ 34 / 107 ] 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 (37 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ (* (cos x) (* x x)) (* x x))) * [exit]simplify: Simplified to (/ (sin x) (+ (* (cos x) (* x x)) (* x x))) * * * * [misc]progress: [ 35 / 107 ] 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 (/ (/ (* (sin x) (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 (20 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (sqr (sin x)) (+ (* x (cos x)) x)) * [exit]simplify: Simplified to (/ (sqr (sin x)) (+ (* x (cos x)) x)) * * * * [misc]progress: [ 36 / 107 ] 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) (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 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)) * [exit]simplify: Simplified to (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)) * * * * [misc]progress: [ 37 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin x) (sin x)) x) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ (sin x) (/ x (sin x))) * [exit]simplify: Simplified to (/ (sin x) (/ x (sin 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: [ 38 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin x) (sin x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (13 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 (75 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* (cos x) (sqr x)) (sqr x))) * [exit]simplify: Simplified to (/ 1 (+ (* (cos x) (sqr x)) (sqr x))) * * * * [misc]progress: [ 39 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) 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 (48 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (/ (sin x) x)) (+ 1 (cube (cos x)))) * [exit]simplify: Simplified to (/ (* (sin x) (/ (sin x) 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 (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x) * [exit]simplify: Simplified to (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) x) * * * * [misc]progress: [ 40 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) 1) * * [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 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (sqr (sin x)) (+ 1 (cube (cos x)))) * [exit]simplify: Simplified to (/ (sqr (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: [ 41 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (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 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (127 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: [ 42 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (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 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (123 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)) (sqr x)) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (sqr x)) * * * * [misc]progress: [ 43 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 107 ] 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: [ 45 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (94 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: [ 46 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (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 (20 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (sqr (sin x)) (+ (* x (cos x)) x)) * [exit]simplify: Simplified to (/ (sqr (sin x)) (+ (* x (cos x)) x)) * * * * [misc]progress: [ 47 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (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 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (sqr (sin x)) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (sqr (sin x)) (+ (cos x) 1)) * * * * [misc]progress: [ 48 / 107 ] 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 (43 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (/ (* x x) (sin x)) (+ 1 (cos x))) * [exit]simplify: Simplified to (* (/ (* x x) (sin x)) (+ 1 (cos x))) * * * * [misc]progress: [ 49 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (94 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: [ 50 / 107 ] 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 (46 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (+ (* (* x x) (cos x)) (* x x)) * [exit]simplify: Simplified to (+ (* (* x x) (cos x)) (* x x)) * * * * [misc]progress: [ 51 / 107 ] 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 (/ (* x x) (+ (* (cos x) (cos x)) (- 1 (cos x)))) * [exit]simplify: Simplified to (/ (* x x) (+ (* (cos x) (cos x)) (- 1 (cos x)))) * * * * [misc]progress: [ 52 / 107 ] 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 (/ (* x x) (- 1 (cos x))) * [exit]simplify: Simplified to (/ (* x x) (- 1 (cos x))) * * * * [misc]progress: [ 53 / 107 ] 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 (+ (* x x) (* (* x x) (cos x))) * [exit]simplify: Simplified to (+ (* x x) (* (* x x) (cos x))) * * * * [misc]progress: [ 54 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 107 ] 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: [ 56 / 107 ] 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: [ 57 / 107 ] 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: [ 58 / 107 ] 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 (24 enodes) * [exit]simplify: Simplified to (cube (+ 1 (cos x))) * [exit]simplify: Simplified to (cube (+ 1 (cos x))) * * * * [misc]progress: [ 59 / 107 ] 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: [ 60 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow 1 3) (pow (cos x) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 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 (+ (- 1 (cos x)) (* (cos x) (cos x))) * [exit]simplify: Simplified to (+ (- 1 (cos x)) (* (cos x) (cos x))) * * * * [misc]progress: [ 61 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 107 ] 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 (* (sin x) (sin x)) * [exit]simplify: Simplified to (* (sin x) (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: [ 63 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- x x)) (cos (+ x 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 (12 enodes) * [exit]simplify: Simplified to (- 1 (cos (+ x x))) * [exit]simplify: Simplified to (- 1 (cos (+ x x))) * * * * [misc]progress: [ 65 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 66 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqr (sin x)) * [exit]simplify: Simplified to (sqr (sin x)) * * * * [misc]progress: [ 67 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 68 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin x)) (log (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin x))) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin x))) * * * * [misc]progress: [ 70 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin x))) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin x))) * * * * [misc]progress: [ 71 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (sqr (sin x))) * [exit]simplify: Simplified to (exp (sqr (sin x))) * * * * [misc]progress: [ 72 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (sin x)) (cube (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (cube (sqr (sin x))) * [exit]simplify: Simplified to (cube (sqr (sin x))) * * * * [misc]progress: [ 73 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (sqr (sin x))) * [exit]simplify: Simplified to (cbrt (sqr (sin x))) * * * * [misc]progress: [ 74 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (cube (sqr (sin x))) * [exit]simplify: Simplified to (cube (sqr (sin x))) * * * * [misc]progress: [ 75 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin x)) (cbrt (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (sin x)) (cbrt (sin x))) * [exit]simplify: Simplified to (* (cbrt (sin x)) (cbrt (sin x))) * * * * [misc]progress: [ 76 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (fabs (sin x)) * [exit]simplify: Simplified to (fabs (sin x)) * * * * [misc]progress: [ 78 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin x)) (sqrt (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * * * * [misc]progress: [ 79 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * * * * [misc]progress: [ 81 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqr (sin x)) * [exit]simplify: Simplified to (sqr (sin x)) * * * * [misc]progress: [ 82 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (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 (20 enodes) * [exit]simplify: Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) * [exit]simplify: Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) * * * * [misc]progress: [ 85 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (- (log (sqr (sin x))) (log (+ 1 (cos x)))) * [exit]simplify: Simplified to (- (log (sqr (sin x))) (log (+ 1 (cos x)))) * * * * [misc]progress: [ 86 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (log (/ (sqr (sin x)) (+ 1 (cos x)))) * [exit]simplify: Simplified to (log (/ (sqr (sin x)) (+ 1 (cos x)))) * * * * [misc]progress: [ 87 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* (sin 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 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (exp (/ (sqr (sin x)) (+ 1 (cos x)))) * [exit]simplify: Simplified to (exp (/ (sqr (sin x)) (+ 1 (cos x)))) * * * * [misc]progress: [ 88 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cube (sin x)) (cube (sin x))) (cube (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (cube (/ (sqr (sin x)) (+ (cos x) 1))) * [exit]simplify: Simplified to (cube (/ (sqr (sin x)) (+ (cos x) 1))) * * * * [misc]progress: [ 89 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (* (sin x) (sin x))) (cube (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (cube (/ (sqr (sin x)) (+ (cos x) 1))) * [exit]simplify: Simplified to (cube (/ (sqr (sin x)) (+ (cos x) 1))) * * * * [misc]progress: [ 90 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (sin 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 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqr (sin x)) (+ 1 (cos x)))) * [exit]simplify: Simplified to (cbrt (/ (sqr (sin x)) (+ 1 (cos x)))) * * * * [misc]progress: [ 91 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (214 enodes) * [exit]simplify: Simplified to (cube (/ (sqr (sin x)) (+ (cos x) 1))) * [exit]simplify: Simplified to (cube (/ (sqr (sin x)) (+ (cos x) 1))) * * * * [misc]progress: [ 92 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (sin x) (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 (sqr (sin x))) (cbrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (cbrt (sqr (sin x))) (cbrt (+ 1 (cos x)))) * * * * [misc]progress: [ 93 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (+ 1 (cos x)))) * * * * [misc]progress: [ 94 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (sin 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 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) * [exit]simplify: Simplified to (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) * * * * [misc]progress: [ 95 / 107 ] 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 (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ (cos x) 1))) * * * * [misc]progress: [ 96 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (sin x) (sin x))) (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (fabs (sin x)) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (fabs (sin x)) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 97 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sqrt (sin x)) (sqrt (sin x))) (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 98 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sin x) (sin x))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (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: [ 99 / 107 ] 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) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (sin x) (+ (cos x) 1)) * * * * [misc]progress: [ 100 / 107 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 107 ] 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: [ 102 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (* (sin x) (sin x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (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: [ 103 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin x) (sin x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* (/ (sin x) 1) (sin x)) * [exit]simplify: Simplified to (* (/ (sin x) 1) (sin x)) * * * * [misc]progress: [ 104 / 107 ] 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: [ 105 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqr (sin x)) (+ 1 (cube (cos x)))) * [exit]simplify: Simplified to (/ (sqr (sin x)) (+ 1 (cube (cos x)))) * * * * [misc]progress: [ 106 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin x) (sin x)) (- (sqr 1) (sqr (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 107 / 107 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 (cos x)) 2) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (+ 2 (+ (cos x) (cos x))) * [exit]simplify: Simplified to (+ 2 (+ (cos x) (cos x))) * * * [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 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (sqr (sin x)) (+ 1 (cos 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]backup-simplify: Simplify (sqrt 1/2) into (sqrt 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 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (sqr (sin x)) (+ 1 (cos 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]backup-simplify: Simplify (sqrt 1/2) into (sqrt 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 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [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 (sqr 0) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) * [misc]backup-simplify: Simplify (/ -1/48 (sqrt 1/2)) into (/ -1/48 (sqrt 1/2)) * [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 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) 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 (sqr (/ -1/48 (sqrt 1/2))) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (sqr (sqrt 1/2))))) (sqrt 1/2))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (sqr (sqrt 1/2))))) (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (sqr (sqrt 1/2))))) (sqrt 1/2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (sqr (sqrt 1/2))))) (sqrt 1/2))) (pow x 5)) (+ (* (/ -1/48 (sqrt 1/2)) (pow x 3)) (* (sqrt 1/2) x))) into (- (+ (* (sqrt 1/2) x) (* 1/1440 (/ (pow x 5) (sqrt 1/2)))) (+ (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3))) (* 1/48 (/ (pow x 3) (sqrt 1/2))))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 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 (+ (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 (sqrt (/ (sqr (sin (/ 1 x))) (+ (cos (/ 1 x)) 1))) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ (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 (* 2 (sqrt (/ (sqr (sin (/ 1 x))) (+ (cos (/ 1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 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 (+ (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 (sqrt (/ (sqr (sin (/ 1 x))) (+ (cos (/ 1 x)) 1))) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ (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 (* 2 (sqrt (/ (sqr (sin (/ 1 x))) (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) * [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 (sqr 0) (+)) (* 2 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (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 (+ (* 2 (* 0 0)))) (* 2 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -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 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -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 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1))))) 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]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 (sqr 0) (+)) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (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 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 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (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 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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (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 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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (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 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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) 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: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqr (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x)) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (sqr (sin x)) (+ 1 (cos 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]backup-simplify: Simplify (sqrt 1/2) into (sqrt 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 (* 2 (sqrt 1/2))) into 0 * [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 (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (sqr (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x)) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (sqr (sin x)) (+ 1 (cos 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]backup-simplify: Simplify (sqrt 1/2) into (sqrt 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 (* 2 (sqrt 1/2))) into 0 * [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 (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (sqr (sqrt 1/2)) * [misc]backup-simplify: Simplify (sqr (sqrt 1/2)) into (sqr (sqrt 1/2)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) 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 (sqr 0) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) * [misc]backup-simplify: Simplify (- (/ (/ -1/48 (sqrt 1/2)) 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) (- (* 1/48 (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (sqrt 1/2)))) 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 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 (- (* 1/48 (/ 1 (sqrt 1/2))))) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) 0) (* 0 (sqrt 1/2))))) 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 (sqr (/ -1/48 (sqrt 1/2))) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (sqr (sqrt 1/2))))) (sqrt 1/2))) * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (sqr (sqrt 1/2))))) (sqrt 1/2))) 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3))))) (+ (* 0 0) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (- (* 1/48 (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) (sqrt 1/2)))))) 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)) (sqr (sqrt 1/2)))) into (- (+ (* 1/720 (pow x 4)) (sqr (sqrt 1/2))) (* 1/24 (sqr x))) * [misc]approximate: Taking taylor expansion of (sqr (/ (sqrt (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (sqrt (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 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 (+ (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 (sqrt (/ (sqr (sin (/ 1 x))) (+ (cos (/ 1 x)) 1))) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ (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 (* 2 (sqrt (/ (sqr (sin (/ 1 x))) (+ (cos (/ 1 x)) 1))))) into 0 * [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 (+ (cos (/ 1 x)) 1)))) 1) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) * [misc]taylor: Taking taylor expansion of (sqr (/ (sqrt (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 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 (+ (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 (sqrt (/ (sqr (sin (/ 1 x))) (+ (cos (/ 1 x)) 1))) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ (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 (* 2 (sqrt (/ (sqr (sin (/ 1 x))) (+ (cos (/ 1 x)) 1))))) into 0 * [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 (+ (cos (/ 1 x)) 1)))) 1) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) (* (sin (/ 1 x)) (sqrt (/ 1 (+ (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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) 0) (* 0 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (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 (sqr 0) (+)) (* 2 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))))) 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 (+ (cos (/ 1 x)) 1)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (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 (+ (* 2 (* 0 0)))) (* 2 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))))) 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 (+ (cos (/ 1 x)) 1)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))))) 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 (+ (cos (/ 1 x)) 1)))) (/ 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 (+ (cos (/ 1 x)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))))) 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 (+ (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 (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (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)) (sqr (/ 1 x))) into (/ (sqr (sin (/ 1 x))) (* (sqr x) (+ (cos (/ 1 x)) 1))) * [misc]approximate: Taking taylor expansion of (sqr (/ (sqrt (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (sqrt (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -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 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1))))) into 0 * [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 (/ (sqrt (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -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 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1))))) into 0 * [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) 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 (+ (* (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 (sqr 0) (+)) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) 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 (+ (* (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 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) 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 (+ (* (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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) 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 (+ (* (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) 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 (+ (* (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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) 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: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (sqr (sin x)) (+ 1 (cos 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]backup-simplify: Simplify (sqrt 1/2) into (sqrt 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 (* 2 (sqrt 1/2))) into 0 * [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 (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (sqr (sin x)) (+ 1 (cos 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]backup-simplify: Simplify (sqrt 1/2) into (sqrt 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 (* 2 (sqrt 1/2))) into 0 * [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 (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 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 (/ (- -1/24 (sqr 0) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) * [misc]backup-simplify: Simplify (- (/ (/ -1/48 (sqrt 1/2)) 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) * [misc]backup-simplify: Simplify (- (* 1/48 (/ 1 (sqrt 1/2)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) * [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 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (/ 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 (/ (- 1/720 (sqr (/ -1/48 (sqrt 1/2))) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (sqr (sqrt 1/2))))) (sqrt 1/2))) * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (sqr (sqrt 1/2))))) (sqrt 1/2))) 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) (pow x 4)) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (sqr x)) (sqrt 1/2))) into (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))) (* 1/48 (/ (sqr x) (sqrt 1/2))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 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 (+ (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 (sqrt (/ (sqr (sin (/ 1 x))) (+ (cos (/ 1 x)) 1))) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ (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 (* 2 (sqrt (/ (sqr (sin (/ 1 x))) (+ (cos (/ 1 x)) 1))))) into 0 * [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 (+ (cos (/ 1 x)) 1)))) 1) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 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 (+ (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 (sqrt (/ (sqr (sin (/ 1 x))) (+ (cos (/ 1 x)) 1))) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ (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 (* 2 (sqrt (/ (sqr (sin (/ 1 x))) (+ (cos (/ 1 x)) 1))))) into 0 * [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 (+ (cos (/ 1 x)) 1)))) 1) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) into (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ (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 (sqr 0) (+)) (* 2 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))))) 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 (+ (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 (+ (* 2 (* 0 0)))) (* 2 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))))) 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 (+ (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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))))) 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 (+ (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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))))) 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 (+ (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 (* (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) (/ 1 x)) into (* (/ (sin (/ 1 x)) x) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -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 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1))))) into 0 * [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 (/ (sqrt (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -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 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1))))) into 0 * [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) 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 (+ (* (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 (sqr 0) (+)) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) 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 (+ (* (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 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) 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 (+ (* (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 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) 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 (+ (* (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) 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 (+ (* (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 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) 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: [ 4 / 4 ] generating series at (2 1 1 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 (+ (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]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: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (/ (- (+ (* (sqrt 1/2) x) (* 1/1440 (/ (pow x 5) (sqrt 1/2)))) (+ (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3))) (* 1/48 (/ (pow x 3) (sqrt 1/2))))) x)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * [exit]simplify: Simplified to (sqr (/ (- (+ (* (/ (pow x 5) (sqrt 1/2)) (- 1/1440 (/ 1/4608 1/2))) (* x (sqrt 1/2))) (* 1/48 (/ (cube x) (sqrt 1/2)))) x)) * * * * [misc]progress: [ 2 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (/ (* (sin (/ 1 x)) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) 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 (101 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ (cos (/ 1 x)) 1)) (sqr (/ x (sin (/ 1 x))))) * * * * [misc]progress: [ 3 / 71 ] 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 (104 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (/ (/ (sqr (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) (* x x)) * * * * [misc]progress: [ 4 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/720 (pow x 4)) (sqr (sqrt 1/2))) (* 1/24 (sqr x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (+ (* (pow x 4) 1/720) (- 1/2 (* (sqr x) 1/24))) * * * * [misc]progress: [ 5 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (sin (/ 1 x))) (* (sqr x) (+ (cos (/ 1 x)) 1))) * * [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 (157 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin (/ 1 x)) x) (/ (sin (/ 1 x)) x)) (+ 1 (cos (/ 1 x)))) * * * * [misc]progress: [ 6 / 71 ] 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 (79 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (/ (sin (/ -1 x)) x) (/ (/ (sin (/ -1 x)) x) (+ 1 (cos (/ -1 x))))) * * * * [misc]progress: [ 7 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (- (+ (* 1/1440 (/ (pow x 4) (sqrt 1/2))) (sqrt 1/2)) (+ (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))) (* 1/48 (/ (sqr x) (sqrt 1/2)))))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * [exit]simplify: Simplified to (* (- (- (sqrt 1/2) (* (/ (* 1/48 x) (sqrt 1/2)) x)) (* (/ (pow x 4) (sqrt 1/2)) (- (/ 1/4608 1/2) 1/1440))) (- (- (sqrt 1/2) (* (/ (* 1/48 x) (sqrt 1/2)) x)) (* (/ (pow x 4) (sqrt 1/2)) (- (/ 1/4608 1/2) 1/1440)))) * * * * [misc]progress: [ 8 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (* (/ (sin (/ 1 x)) x) (sqrt (/ 1 (+ (cos (/ 1 x)) 1))))) * * [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 (81 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (/ (/ (sin (/ 1 x)) x) (+ 1 (cos (/ 1 x)))) (/ (sin (/ 1 x)) x)) * * * * [misc]progress: [ 9 / 71 ] 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 (82 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (/ (sin (/ -1 x)) x) (/ (/ (sin (/ -1 x)) x) (+ (cos (/ -1 x)) 1))) * * * * [misc]progress: [ 10 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (/ (sqrt (/ (sqr (sin x)) (- (+ (* 1/24 (pow x 4)) 2) (* 1/2 (sqr x))))) x)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) (- (* 1/24 (pow x 4)) (- (* (* x x) 1/2) 2))) (/ (* x x) (sin x))) * * * * [misc]progress: [ 11 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (/ (sqrt (/ (sqr (sin x)) (+ (cos (/ 1 x)) 1))) 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 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (/ (sin x) x) (+ (cos (/ 1 x)) 1)) (/ (sin x) x)) * * * * [misc]progress: [ 12 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (/ (sqrt (/ (sqr (sin x)) (+ (cos (/ -1 x)) 1))) x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (sin x) (* (+ 1 (cos (/ -1 x))) (/ (* x x) (sin x)))) * * * * [misc]progress: [ 13 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (sqr (sin x)) (+ 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) * [exit]simplify: Simplified to (log (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (log (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 16 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (sqr (sin x)) (+ 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) * [exit]simplify: Simplified to (exp (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (exp (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 17 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (sqr (sin x)) (+ 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) * [exit]simplify: Simplified to (cbrt (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 18 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (sqr (sin x)) (+ 1 (cos x))) (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (* (/ (sqr (sin x)) (+ 1 (cos x))) (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 19 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqr 1) 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 1)) * [exit]simplify: Simplified to (sqrt (/ 1 1)) * [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 (/ (sqr (sin x)) (+ 1 (cos x)))) * [exit]simplify: Simplified to (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) * * * * [misc]progress: [ 20 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sin x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin x) 1)) * [exit]simplify: Simplified to (sqrt (/ (sin x) 1)) * [enter]simplify: Simplifying (sqrt (/ (sin x) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (sqrt (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 21 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [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 (/ (sqr (sin x)) (+ 1 (cos x)))) * [exit]simplify: Simplified to (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) * * * * [misc]progress: [ 22 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [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 (/ (sqr (sin x)) (+ 1 (cos x)))) * [exit]simplify: Simplified to (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) * * * * [misc]progress: [ 23 / 71 ] 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)) * [enter]simplify: Simplifying (sqrt (/ 1 (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ 1 (cos x)))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ 1 (cos x)))) * * * * [misc]progress: [ 24 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqr (sin x)) (+ (pow 1 3) (pow (cos x) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqr (sin x)) (+ 1 (cube (cos x))))) * [exit]simplify: Simplified to (sqrt (/ (sqr (sin x)) (+ 1 (cube (cos x))))) * [enter]simplify: Simplifying (sqrt (+ (sqr 1) (- (sqr (cos x)) (* 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cos x) (cos x)) (- 1 (cos x)))) * [exit]simplify: Simplified to (sqrt (+ (* (cos x) (cos x)) (- 1 (cos x)))) * * * * [misc]progress: [ 25 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqr (sin x)) (- (sqr 1) (sqr (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [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: [ 26 / 71 ] 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)) * [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: [ 27 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (sqr (sin x)) (+ 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) * [exit]simplify: Simplified to (sqrt (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 28 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (log (/ (/ (sqr (sin x)) (+ 1 (cos x))) (* x x))) * [exit]simplify: Simplified to (log (/ (/ (sqr (sin x)) (+ 1 (cos x))) (* x x))) * * * * [misc]progress: [ 34 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (exp (/ (/ (sqr (sin x)) (+ 1 (cos x))) (* x x))) * [exit]simplify: Simplified to (exp (/ (/ (sqr (sin x)) (+ 1 (cos x))) (* x x))) * * * * [misc]progress: [ 35 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) 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 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (61 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: [ 36 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos 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 (77 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (cube (/ (/ (sin x) (+ 1 (cos x))) (/ (* x x) (sin x)))) * [exit]simplify: Simplified to (cube (/ (/ (sin x) (+ 1 (cos x))) (/ (* x x) (sin x)))) * * * * [misc]progress: [ 37 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqr (sin x)) (+ 1 (cos x))) (* x x))) * [exit]simplify: Simplified to (sqrt (/ (/ (sqr (sin x)) (+ 1 (cos x))) (* x x))) * * * * [misc]progress: [ 38 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* 1 1) * [exit]simplify: Simplified to (* 1 1) * [enter]simplify: Simplifying (sqr (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x)))) * [exit]simplify: Simplified to (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x)))) * * * * [misc]progress: [ 39 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (/ (sqr (sin x)) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (sqr (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 (sqr x)) * [exit]simplify: Simplified to (/ 1 (sqr x)) * * * * [misc]progress: [ 40 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (/ (sqr (sin x)) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (sqr (sin x)) (+ 1 (cos x))) * [enter]simplify: Simplifying (sqr x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* x x) * [exit]simplify: Simplified to (* x x) * * * * [misc]progress: [ 41 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x)) * [exit]simplify: Simplified to (log (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x)) * * * * [misc]progress: [ 45 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (exp (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x)) * [exit]simplify: Simplified to (exp (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x)) * * * * [misc]progress: [ 46 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x)) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x)) * * * * [misc]progress: [ 47 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) 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 (39 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (cube (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x)) * [exit]simplify: Simplified to (cube (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x)) * * * * [misc]progress: [ 48 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x)) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) x)) * * * * [misc]progress: [ 49 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (/ (sqr (sin x)) (+ 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) * [exit]simplify: Simplified to (- (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (- (sqrt (/ (sqr (sin x)) (+ 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: [ 50 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 71 ] 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: [ 52 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sqrt (/ (sqr (sin x)) (+ 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) * [exit]simplify: Simplified to (/ x (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (/ x (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 53 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sqrt (/ (sqr (sin x)) (+ 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) * [exit]simplify: Simplified to (/ x (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (/ x (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 54 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sqrt (/ (sin x) (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ x (sqrt (/ (sin x) (+ (cos x) 1)))) * [exit]simplify: Simplified to (/ x (sqrt (/ (sin x) (+ (cos x) 1)))) * * * * [misc]progress: [ 55 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sqrt (/ (sqr (sin x)) (+ 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) * [exit]simplify: Simplified to (/ x (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (/ x (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 56 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sqrt (/ (sqr (sin x)) (+ 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) * [exit]simplify: Simplified to (/ x (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (/ x (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 57 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sqrt (/ 1 (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ x (sqrt (/ 1 (+ 1 (cos x))))) * [exit]simplify: Simplified to (/ x (sqrt (/ 1 (+ 1 (cos x))))) * * * * [misc]progress: [ 58 / 71 ] 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 (- (* (cos x) (cos x)) (- (cos x) 1)))) * [exit]simplify: Simplified to (/ x (sqrt (- (* (cos x) (cos x)) (- (cos x) 1)))) * * * * [misc]progress: [ 59 / 71 ] 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: [ 60 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sqrt (/ (sqr (sin x)) (+ 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) * [exit]simplify: Simplified to (/ x (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (/ x (sqrt (/ (sqr (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 61 / 71 ] 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 (+ 1 (cos x)))) * [exit]simplify: Simplified to (* x (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 62 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 71 ] 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: [ 64 / 71 ] 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: [ 65 / 71 ] 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: [ 66 / 71 ] 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 (24 enodes) * [exit]simplify: Simplified to (cube (+ 1 (cos x))) * [exit]simplify: Simplified to (cube (+ 1 (cos x))) * * * * [misc]progress: [ 67 / 71 ] 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: [ 68 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow 1 3) (pow (cos x) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 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 (+ (- 1 (cos x)) (* (cos x) (cos x))) * [exit]simplify: Simplified to (+ (- 1 (cos x)) (* (cos x) (cos x))) * * * * [misc]progress: [ 69 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 71 ] 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 (* (sin x) (sin x)) * [exit]simplify: Simplified to (* (sin x) (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: [ 71 / 71 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 x -0.00023767617918960045) #s(sp 1 x 659531696.815955) #s(sp 2 x +inf.0)) , with alts (# # #) * [misc]splitpoints: intervals are: ((#f . #s(sp 0 x -0.00023767617918960045))) * [misc]splitpoints: intervals are: ((#s(sp 0 x -0.00023767617918960045) . #s(sp 1 x 659531696.815955))) * [misc]splitpoints: intervals are: ((#s(sp 1 x 659531696.815955) . #s(sp 2 x +inf.0))) * [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 (/ (sqr (sin x)) (+ 1 (cos x)))) * [exit]simplify: Simplified to (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) * [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) * [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 (165 enodes) * * [misc]simplify: iters left: 1 (243 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)) * [enter]simplify: Simplifying (sqr (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (sqr (sin x)) * [exit]simplify: Simplified to (sqr (sin x)) * [enter]simplify: Simplifying (+ 1 (cube (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (+ (cube (cos x)) 1) * [exit]simplify: Simplified to (+ (cube (cos x)) 1) * [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 (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * [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 (+ (* x x) (* (* x x) (cos x))) * [exit]simplify: Simplified to (+ (* x x) (* (* x x) (cos x))) * [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 (165 enodes) * * [misc]simplify: iters left: 1 (243 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)) * [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 (* 1/24 (sqr x))) (* (pow x 4) 1/720)) * [enter]simplify: Simplifying (sqr (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (sqr (sin x)) * [exit]simplify: Simplified to (sqr (sin x)) * [enter]simplify: Simplifying (+ 1 (cube (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (+ (cube (cos x)) 1) * [exit]simplify: Simplified to (+ (cube (cos x)) 1) * [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) * [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 (/ (sqr (sin x)) (+ 1 (cos x)))) * [exit]simplify: Simplified to (cbrt (/ (sqr (sin x)) (+ 1 (cos x)))) * [enter]simplify: Simplifying (cbrt (* x x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (* x x)) * [exit]simplify: Simplified to (cbrt (* x x)) * [enter]simplify: Simplifying (sqr (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (sqr (sin x)) * [exit]simplify: Simplified to (sqr (sin x)) * [enter]simplify: Simplifying (+ 1 (cube (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (+ (cube (cos x)) 1) * [exit]simplify: Simplified to (+ (cube (cos x)) 1) * [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 (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * [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 (+ (* x x) (* (* x x) (cos x))) * [exit]simplify: Simplified to (+ (* x x) (* (* x x) (cos x)))