* [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)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (sin 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 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: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- 1 (cos x)) (sin x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos x)) (sin 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 (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 (- 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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos x)) (sin 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 (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 (- 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 (+ (* 1 (/ (pow 1 1) 1))) 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 (* 1 (/ (pow 0 1) 1))) 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 (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ (- 1/6) 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 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/6) 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 (+ (* 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 (- (/ 1/720 1) (+ (* 1/2 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/240 * [misc]backup-simplify: Simplify 1/240 into 1/240 * [misc]backup-simplify: Simplify (+ (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (* 1/2 x))) into (+ (* 1/24 (pow x 3)) (+ (* 1/2 x) (* 1/240 (pow x 5)))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (sin (/ 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 (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 (- (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))) (sin (/ 1 x))) into (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (sin (/ 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 (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 (- (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))) (sin (/ 1 x))) into (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) 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 (sin (/ 1 x))) (+ (* (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) 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 (sin (/ 1 x))) (+ (* (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) 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 (sin (/ 1 x))) (+ (* (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) 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 (sin (/ 1 x))) (+ (* (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) 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 (sin (/ 1 x))) (+ (* (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (sin (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (sin (/ 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 (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 (- (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))) (sin (/ -1 x))) into (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (sin (/ 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 (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 (- (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))) (sin (/ -1 x))) into (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) 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 (sin (/ -1 x))) (+ (* (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) 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 (sin (/ -1 x))) (+ (* (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) 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 (sin (/ -1 x))) (+ (* (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) 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 (sin (/ -1 x))) (+ (* (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) 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 (sin (/ -1 x))) (+ (* (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 1/720 (pow x 6)) (* 1/2 (sqr x))) (* 1/24 (pow x 4))) (sin x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (+ (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4))) (* 1/2 (sqr x))) (sin x)) * * * * [misc]progress: [ 2 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos (/ 1 x))) (sin x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos (/ 1 x))) (sin x)) * * * * [misc]progress: [ 3 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos (/ -1 x))) (sin x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos (/ -1 x))) (sin x)) * * * * [misc]progress: [ 4 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/24 (pow x 3)) (+ (* 1/2 x) (* 1/240 (pow x 5)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ (* 1/24 (cube x)) (+ (* x 1/2) (* (pow x 5) 1/240))) * * * * [misc]progress: [ 5 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) * * * * [misc]progress: [ 6 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) * * * * [misc]progress: [ 7 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 36 ] 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: [ 9 / 36 ] 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: [ 10 / 36 ] 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: [ 11 / 36 ] 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: [ 12 / 36 ] 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: [ 13 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow (cos x) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- 1 (cube (cos x))) * [exit]simplify: Simplified to (- 1 (cube (cos x))) * [enter]simplify: Simplifying (+ (sqr 1) (+ (sqr (cos x)) (* 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (+ (+ 1 (cos x)) (* (cos x) (cos x))) * [exit]simplify: Simplified to (+ (+ 1 (cos x)) (* (cos x) (cos x))) * * * * [misc]progress: [ 14 / 36 ] 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: [ 15 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr 1) (sqr (cos x))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqr (sin x)) * [exit]simplify: Simplified to (sqr (sin x)) * [enter]simplify: Simplifying (+ 1 (cos x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ (cos x) 1) * [exit]simplify: Simplified to (+ (cos x) 1) * * * * [misc]progress: [ 17 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 (cos x))) (log (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (log (- 1 (cos x))) (log (sin x))) * [exit]simplify: Simplified to (- (log (- 1 (cos x))) (log (sin x))) * * * * [misc]progress: [ 19 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- 1 (cos x)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (log (/ (- 1 (cos x)) (sin x))) * [exit]simplify: Simplified to (log (/ (- 1 (cos x)) (sin x))) * * * * [misc]progress: [ 20 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- 1 (cos x)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (/ (- 1 (cos x)) (sin x))) * [exit]simplify: Simplified to (exp (/ (- 1 (cos x)) (sin x))) * * * * [misc]progress: [ 21 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (- 1 (cos x))) (cube (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (cube (/ (- 1 (cos x)) (sin x))) * [exit]simplify: Simplified to (cube (/ (- 1 (cos x)) (sin x))) * * * * [misc]progress: [ 22 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- 1 (cos x)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 (cos x)) (sin x))) * [exit]simplify: Simplified to (cbrt (/ (- 1 (cos x)) (sin x))) * * * * [misc]progress: [ 23 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (- 1 (cos x)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (cube (/ (- 1 (cos x)) (sin x))) * [exit]simplify: Simplified to (cube (/ (- 1 (cos x)) (sin x))) * * * * [misc]progress: [ 24 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- 1 (cos x))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) (cbrt (sin x))) * * * * [misc]progress: [ 25 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (cos x)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (cos x)) (sin x))) * [exit]simplify: Simplified to (sqrt (/ (- 1 (cos x)) (sin x))) * * * * [misc]progress: [ 26 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (sqrt (sin x))) * * * * [misc]progress: [ 27 / 36 ] 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 (- (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin x)) * [exit]simplify: Simplified to (- (sin x)) * * * * [misc]progress: [ 28 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sin x)) * [exit]simplify: Simplified to (/ 1 (sin x)) * [enter]simplify: Simplifying (/ (cos x) (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * * * * [misc]progress: [ 29 / 36 ] 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)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (sin x)) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (sin x)) * * * * [misc]progress: [ 30 / 36 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sin x)) * [exit]simplify: Simplified to (/ 1 (sin x)) * * * * [misc]progress: [ 32 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (- 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sin x) (- 1 (cos x))) * [exit]simplify: Simplified to (/ (sin x) (- 1 (cos x))) * * * * [misc]progress: [ 33 / 36 ] 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: [ 34 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (- 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sin x) (- 1 (cos x))) * [exit]simplify: Simplified to (/ (sin x) (- 1 (cos x))) * * * * [misc]progress: [ 35 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (+ (sqr 1) (+ (sqr (cos x)) (* 1 (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (cos x)) (sqr (cos x))) (sin x)) * [exit]simplify: Simplified to (* (+ (+ 1 (cos x)) (sqr (cos x))) (sin x)) * * * * [misc]progress: [ 36 / 36 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (+ (sin x) (* (cos x) (sin x))) * [exit]simplify: Simplified to (+ (sin x) (* (cos x) (sin x))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sin x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sin x)) in x * [misc]taylor: Taking taylor expansion of (/ (sqr (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (sqr (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sin x)) in x * [misc]taylor: Taking taylor expansion of (/ (sqr (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (sqr (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (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 (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0 (- 1/2)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* 1/24 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ 0 1/24) into 1/24 * [misc]backup-simplify: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 * [misc]backup-simplify: Simplify (+ (* 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 (- (/ 1/720 1) (+ (* 1/2 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/240 * [misc]backup-simplify: Simplify 1/240 into 1/240 * [misc]backup-simplify: Simplify (+ (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (* 1/2 x))) into (+ (* 1/24 (pow x 3)) (+ (* 1/2 x) (* 1/240 (pow x 5)))) * [misc]approximate: Taking taylor expansion of (/ (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (sin (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (sin (/ 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))) (+ 1 (cos (/ 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 (/ (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (sin (/ 1 x))) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (sin (/ 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))) (+ 1 (cos (/ 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 (/ (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (sin (/ 1 x))) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) into (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (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 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))) (+ 1 (cos (/ 1 x)))) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (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 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))) (+ 1 (cos (/ 1 x)))) (/ 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 (sin (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (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 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))) (+ 1 (cos (/ 1 x)))) (/ 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 (sin (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (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 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))) (+ 1 (cos (/ 1 x)))) (/ 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 (sin (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]approximate: Taking taylor expansion of (/ (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (sin (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (sin (/ 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 (+ 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) into (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (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 (/ (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) (sin (/ -1 x))) into (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (/ (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (sin (/ 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 (+ 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) into (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (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 (/ (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) (sin (/ -1 x))) into (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) into (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (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 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (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 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (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 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) into (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 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 (- (+ 2 (* 1/24 (pow x 4))) (* 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 (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ (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 (+ 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ 1 (cos (/ -1 x))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (sqr (sin x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (* 1 (sqr x)))) into (- (+ (* 2/45 (pow x 6)) (sqr x)) (* 1/3 (pow x 4))) * [misc]approximate: Taking taylor expansion of (sqr (sin (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (sqr (sin (/ 1 x))) * [misc]backup-simplify: Simplify (sqr (sin (/ 1 x))) into (sqr (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqr (sin (/ 1 x))) into (sqr (sin (/ 1 x))) * [misc]approximate: Taking taylor expansion of (sqr (sin (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (sqr (sin (/ -1 x))) * [misc]backup-simplify: Simplify (sqr (sin (/ -1 x))) into (sqr (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqr (sin (/ -1 x))) into (sqr (sin (/ -1 x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (sqr (sin x)) (+ 1 (cos x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqr (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (sqr (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (sqr (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (sqr (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0 (- 1/2)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ 0 1/24) into 1/24 * [misc]backup-simplify: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (sqr x)))) into (- (+ (* 1/720 (pow x 6)) (* 1/2 (sqr x))) (* 1/24 (pow x 4))) * [misc]approximate: Taking taylor expansion of (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (sqr (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ 1 x))) (+ (cos (/ 1 x)) 1)) into (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) 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))) (+ 1 (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) 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))) (+ 1 (cos (/ 1 x)))) (/ 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))) (+ 1 (cos (/ 1 x)))) (/ 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))) (+ 1 (cos (/ 1 x)))) (/ 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))) (+ 1 (cos (/ 1 x)))) (/ 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))) (+ 1 (cos (/ 1 x)))) (/ 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))) (+ 1 (cos (/ 1 x)))) (/ 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))) (+ 1 (cos (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (sqr (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) into (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (/ (sqr (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqr (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]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 (+ 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) into (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) into (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) into (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) * * * [misc]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 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/24 (pow x 3)) (+ (* 1/2 x) (* 1/240 (pow x 5)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ (* 1/24 (cube x)) (+ (* x 1/2) (* (pow x 5) 1/240))) * * * * [misc]progress: [ 2 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) * * * * [misc]progress: [ 3 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) * * * * [misc]progress: [ 4 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (- (+ 2 (* 1/24 (pow x 4))) (* 1/2 (sqr x)))) (sin x)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ (- (* (pow x 4) 1/24) (* x (* x 1/2))) 2)) * * * * [misc]progress: [ 5 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (+ (cos (/ 1 x)) 1)) (sin x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ (cos (/ 1 x)) 1)) * * * * [misc]progress: [ 6 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (+ 1 (cos (/ -1 x)))) (sin x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ 1 (cos (/ -1 x)))) * * * * [misc]progress: [ 7 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (+ (* 2/45 (pow x 6)) (sqr x)) (* 1/3 (pow x 4))) (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (/ (+ (- (sqr x) (* (pow x 4) 1/3)) (* 2/45 (pow x 6))) (+ (* (sin x) (cos x)) (sin x))) * * * * [misc]progress: [ 8 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin (/ 1 x))) (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (/ (sin (/ 1 x)) (sin x)) (/ (sin (/ 1 x)) (+ 1 (cos x)))) * * * * [misc]progress: [ 9 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin (/ -1 x))) (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (* (sin (/ -1 x)) (sin (/ -1 x))) (+ (sin x) (* (cos x) (sin x)))) * * * * [misc]progress: [ 10 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 1/720 (pow x 6)) (* 1/2 (sqr x))) (* 1/24 (pow x 4))) (sin x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (+ (- (* 1/720 (pow x 6)) (* 1/24 (pow x 4))) (* 1/2 (sqr x))) (sin x)) * * * * [misc]progress: [ 11 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (sin x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (/ (* (sin (/ 1 x)) (/ (sin (/ 1 x)) (sin x))) (+ 1 (cos (/ 1 x)))) * * * * [misc]progress: [ 12 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin (/ -1 x))) (+ 1 (cos (/ -1 x)))) (sin x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (* (sin (/ -1 x)) (sin (/ -1 x))) (+ (sin x) (* (cos (/ -1 x)) (sin x)))) * * * * [misc]progress: [ 13 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (sqr (sin x))) (log (+ 1 (cos x)))) (log (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (+ (log (sin x)) 0) (log (+ (cos x) 1))) * [exit]simplify: Simplified to (- (+ (log (sin x)) 0) (log (+ (cos x) 1))) * * * * [misc]progress: [ 15 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (sqr (sin x)) (+ 1 (cos x)))) (log (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (log (/ (sqr (sin x)) (+ (cos x) 1))) (log (sin x))) * [exit]simplify: Simplified to (- (log (/ (sqr (sin x)) (+ (cos x) 1))) (log (sin x))) * * * * [misc]progress: [ 16 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (424 enodes) * [exit]simplify: Simplified to (log (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (log (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 17 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (318 enodes) * [exit]simplify: Simplified to (exp (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (exp (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 18 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cube (sqr (sin x))) (cube (+ 1 (cos x)))) (cube (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (/ (cube (sin x)) (cube (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (cube (sin x)) (cube (+ (cos x) 1))) * * * * [misc]progress: [ 19 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (/ (sqr (sin x)) (+ 1 (cos x)))) (cube (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (/ (sqr (cube (sin x))) (* (cube (sin x)) (cube (+ (cos x) 1)))) * [exit]simplify: Simplified to (/ (sqr (cube (sin x))) (* (cube (sin x)) (cube (+ (cos x) 1)))) * * * * [misc]progress: [ 20 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (cbrt (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 21 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * [exit]simplify: Simplified to (cube (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (cube (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 22 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (sqr (sin x)) (+ 1 (cos x)))) (cbrt (sin 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 (/ (sqr (sin x)) (+ (cos x) 1))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (cbrt (/ (sqr (sin x)) (+ (cos x) 1))) (cbrt (sin x))) * * * * [misc]progress: [ 23 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (cbrt (sqr (sin x))) (cbrt (+ 1 (cos x)))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqr (sin x))) (cbrt (+ (cos x) 1))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (/ (cbrt (sqr (sin x))) (cbrt (+ (cos x) 1))) (cbrt (sin x))) * * * * [misc]progress: [ 24 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (sqrt (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 25 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) (sqrt (sin 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 (/ (sqr (sin x)) (+ (cos x) 1))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (sqr (sin x)) (+ (cos x) 1))) (sqrt (sin x))) * * * * [misc]progress: [ 26 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) (sqrt (sin x))) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (/ (sin x) (sqrt (sin x))) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 27 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (sin x) (/ (- (sin x)) (+ (cos x) 1))) * [exit]simplify: Simplified to (* (sin x) (/ (- (sin x)) (+ (cos x) 1))) * [enter]simplify: Simplifying (- (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin x)) * [exit]simplify: Simplified to (- (sin x)) * * * * [misc]progress: [ 28 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sin x)) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (/ 1 (sin x)) (+ (cos x) 1)) * [enter]simplify: Simplifying (/ (/ (sqr (cos x)) (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ (sqr (cos x)) (+ (sin x) (* (sin x) (cos x)))) * [exit]simplify: Simplified to (/ (sqr (cos x)) (+ (sin x) (* (sin x) (cos x)))) * * * * [misc]progress: [ 29 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1/2 (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1/2 (sin x)) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (/ 1/2 (sin x)) (+ (cos x) 1)) * [enter]simplify: Simplifying (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (* 1/2 (cos (+ x x))) (+ (* (sin x) (cos x)) (sin x))) * [exit]simplify: Simplified to (/ (* 1/2 (cos (+ x x))) (+ (* (sin x) (cos x)) (sin x))) * * * * [misc]progress: [ 30 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr 1) 1) 1) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (sin x) (+ (cos x) 1)) * * * * [misc]progress: [ 31 / 95 ] 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))) (sin x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (/ 1 (+ 1 (cos x))) * [exit]simplify: Simplified to (/ 1 (+ 1 (cos x))) * * * * [misc]progress: [ 32 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (sin x) (+ (cos x) 1)) * * * * [misc]progress: [ 33 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (sin x) (+ (cos x) 1)) * * * * [misc]progress: [ 34 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (sin x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ (sqr (sin x)) 1) * [exit]simplify: Simplified to (/ (sqr (sin x)) 1) * [enter]simplify: Simplifying (/ (/ 1 (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sin x)) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (/ 1 (sin x)) (+ (cos x) 1)) * * * * [misc]progress: [ 35 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (+ (pow 1 3) (pow (cos x) 3))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (63 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)))) (sin x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) (sin x)) * [exit]simplify: Simplified to (/ (+ (* (cos x) (cos x)) (- 1 (cos x))) (sin x)) * * * * [misc]progress: [ 36 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (- (sqr 1) (sqr (cos x)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- 1 (cos x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (sin x)) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (sin x)) * * * * [misc]progress: [ 37 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sin x)) * [exit]simplify: Simplified to (/ 1 (sin x)) * * * * [misc]progress: [ 39 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (/ (+ (cos x) 1) (sin x)) * [exit]simplify: Simplified to (/ (+ (cos x) 1) (sin x)) * * * * [misc]progress: [ 40 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqr (sin x)) (+ 1 (cos x))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (sqr (sin x)) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (sqr (sin x)) (+ (cos x) 1)) * * * * [misc]progress: [ 41 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (/ (+ (cos x) 1) (sin x)) * [exit]simplify: Simplified to (/ (+ (cos x) 1) (sin x)) * * * * [misc]progress: [ 42 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (/ (sin x) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (+ 1 (cos x)) * [exit]simplify: Simplified to (+ 1 (cos x)) * * * * [misc]progress: [ 43 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (/ (+ (cos x) 1) (sin x)) * [exit]simplify: Simplified to (/ (+ (cos x) 1) (sin x)) * * * * [misc]progress: [ 44 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (/ (+ (cos x) 1) (sin x)) * [exit]simplify: Simplified to (/ (+ (cos x) 1) (sin x)) * * * * [misc]progress: [ 45 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (/ 1 (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (+ 1 (cos x)) (/ (sin x) 1)) * [exit]simplify: Simplified to (* (+ 1 (cos x)) (/ (sin x) 1)) * * * * [misc]progress: [ 46 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (+ (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 (/ (sin x) (+ (sqr (cos x)) (- 1 (cos x)))) * [exit]simplify: Simplified to (/ (sin x) (+ (sqr (cos x)) (- 1 (cos x)))) * * * * [misc]progress: [ 47 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (- 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sin x) (- 1 (cos x))) * [exit]simplify: Simplified to (/ (sin x) (- 1 (cos x))) * * * * [misc]progress: [ 48 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (+ (sin x) (* (cos x) (sin x))) * [exit]simplify: Simplified to (+ (sin x) (* (cos x) (sin x))) * * * * [misc]progress: [ 49 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 95 ] 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 (+ (cos x) 1)) * [exit]simplify: Simplified to (log (+ (cos x) 1)) * * * * [misc]progress: [ 51 / 95 ] 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 (* (exp (cos x)) E) * [exit]simplify: Simplified to (* (exp (cos x)) E) * * * * [misc]progress: [ 52 / 95 ] 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 (+ (cos x) 1)) * [exit]simplify: Simplified to (cbrt (+ (cos x) 1)) * * * * [misc]progress: [ 53 / 95 ] 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: [ 54 / 95 ] 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 (+ (cos x) 1)) * [exit]simplify: Simplified to (sqrt (+ (cos x) 1)) * * * * [misc]progress: [ 55 / 95 ] 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 (16 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (+ (cube (cos x)) 1) * [exit]simplify: Simplified to (+ (cube (cos x)) 1) * [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: [ 56 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr 1) (sqr (cos x))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqr (sin x)) * [exit]simplify: Simplified to (sqr (sin x)) * [enter]simplify: Simplifying (- 1 (cos x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (- 1 (cos x)) * [exit]simplify: Simplified to (- 1 (cos x)) * * * * [misc]progress: [ 58 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (cos x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (sqr (cos x)) * [exit]simplify: Simplified to (sqr (cos x)) * * * * [misc]progress: [ 60 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (cos (* 2 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (* 1/2 (cos (+ x x))) * [exit]simplify: Simplified to (* 1/2 (cos (+ x x))) * * * * [misc]progress: [ 61 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sin x))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (log (sqr (sin x))) * [exit]simplify: Simplified to (log (sqr (sin x))) * * * * [misc]progress: [ 64 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sin x))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (exp (sqr (sin x))) * [exit]simplify: Simplified to (exp (sqr (sin x))) * * * * [misc]progress: [ 65 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sin x))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (sqr (sin x))) * [exit]simplify: Simplified to (cbrt (sqr (sin x))) * * * * [misc]progress: [ 66 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sin x))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (* (cube (sin x)) (cube (sin x))) * [exit]simplify: Simplified to (* (cube (sin x)) (cube (sin x))) * * * * [misc]progress: [ 67 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sin x))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (fabs (sin x)) * [exit]simplify: Simplified to (fabs (sin x)) * * * * [misc]progress: [ 68 / 95 ] 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 (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)) * * * * [misc]progress: [ 69 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqr (sin x))) (log (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (log (sqr (sin x))) (log (+ (cos x) 1))) * [exit]simplify: Simplified to (- (log (sqr (sin x))) (log (+ (cos x) 1))) * * * * [misc]progress: [ 73 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (log (/ (sqr (sin x)) (+ (cos x) 1))) * [exit]simplify: Simplified to (log (/ (sqr (sin x)) (+ (cos x) 1))) * * * * [misc]progress: [ 74 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (exp (/ (sqr (sin x)) (+ (cos x) 1))) * [exit]simplify: Simplified to (exp (/ (sqr (sin x)) (+ (cos x) 1))) * * * * [misc]progress: [ 75 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (sqr (sin x))) (cube (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * [exit]simplify: Simplified to (/ (sqr (cube (sin x))) (cube (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (sqr (cube (sin x))) (cube (+ 1 (cos x)))) * * * * [misc]progress: [ 76 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqr (sin x)) (+ (cos x) 1))) * [exit]simplify: Simplified to (cbrt (/ (sqr (sin x)) (+ (cos x) 1))) * * * * [misc]progress: [ 77 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (184 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: [ 78 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqr (sin x))) (cbrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqr (sin x))) (cbrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (cbrt (sqr (sin x))) (cbrt (+ (cos x) 1))) * * * * [misc]progress: [ 79 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqr (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqr (sin x)) (+ (cos x) 1))) * [exit]simplify: Simplified to (sqrt (/ (sqr (sin x)) (+ (cos x) 1))) * * * * [misc]progress: [ 80 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 81 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sin x) (- (sin x))) * [exit]simplify: Simplified to (* (sin x) (- (sin x))) * [enter]simplify: Simplifying (- (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (+ (cos x) 1)) * [exit]simplify: Simplified to (- (+ (cos x) 1)) * * * * [misc]progress: [ 82 / 95 ] 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 (+ (cos x) 1)) * [exit]simplify: Simplified to (/ 1 (+ (cos x) 1)) * [enter]simplify: Simplifying (/ (sqr (cos x)) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ (sqr (cos x)) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (sqr (cos x)) (+ 1 (cos x))) * * * * [misc]progress: [ 83 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1/2 (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1/2 (+ (cos x) 1)) * [exit]simplify: Simplified to (/ 1/2 (+ (cos x) 1)) * [enter]simplify: Simplifying (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (* (cos (+ x x)) (/ 1/2 (+ 1 (cos x)))) * [exit]simplify: Simplified to (* (cos (+ x x)) (/ 1/2 (+ 1 (cos x)))) * * * * [misc]progress: [ 84 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (/ (sqr (sin x)) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (sqr (sin x)) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (sqr (sin x)) (+ (cos x) 1)) * * * * [misc]progress: [ 85 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (sin x) 1) * [exit]simplify: Simplified to (/ (sin x) 1) * [enter]simplify: Simplifying (/ (sin x) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (sin x) (+ 1 (cos x))) * * * * [misc]progress: [ 86 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (sqr (sin x)) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (sqr (sin x)) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (sqr (sin x)) (+ (cos x) 1)) * * * * [misc]progress: [ 87 / 95 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 95 ] 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 (+ (cos x) 1)) * [exit]simplify: Simplified to (/ 1 (+ (cos x) 1)) * * * * [misc]progress: [ 89 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (sqr (sin x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (+ (cos x) 1) (sqr (sin x))) * [exit]simplify: Simplified to (/ (+ (cos x) 1) (sqr (sin x))) * * * * [misc]progress: [ 90 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (sin x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ (sqr (sin x)) 1) * [exit]simplify: Simplified to (/ (sqr (sin x)) 1) * * * * [misc]progress: [ 91 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (sqr (sin x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (+ (cos x) 1) (sqr (sin x))) * [exit]simplify: Simplified to (/ (+ (cos x) 1) (sqr (sin x))) * * * * [misc]progress: [ 92 / 95 ] 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 (/ (+ (cos x) 1) (sin x)) * [exit]simplify: Simplified to (/ (+ (cos x) 1) (sin x)) * * * * [misc]progress: [ 93 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (sqr (sin x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (+ (cos x) 1) (sqr (sin x))) * [exit]simplify: Simplified to (/ (+ (cos x) 1) (sqr (sin x))) * * * * [misc]progress: [ 94 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (sin x)) (+ (pow 1 3) (pow (cos x) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 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: [ 95 / 95 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (sin x)) (- (sqr 1) (sqr (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (sin x) (+ (cos x) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (sin x) (+ (cos x) 1)))) in x * [misc]taylor: Rewrote expression to (pow (cbrt (/ (sin x) (+ (cos x) 1))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (/ (sin x) (+ (cos x) 1)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (/ (sin x) (+ (cos x) 1))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (/ (sin x) (+ (cos x) 1)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (sin x) (+ (cos x) 1))) in x * [misc]taylor: Rewrote expression to (pow (/ (sin x) (+ (cos x) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (sin x) (+ (cos x) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (sin x) (+ (cos x) 1)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (sin x) (+ (cos x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (sin x) (+ (cos x) 1)) 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 (+ (cos x) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log x) (log 1/2)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log x) (log 1/2))) into (* 1/3 (+ (log x) (log 1/2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log x) (log 1/2)))) into (exp (* 1/3 (+ (log x) (log 1/2)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (+ (log x) (log 1/2))))) into (* 1/3 (+ (log x) (log 1/2))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (+ (log x) (log 1/2)))) into (+ (log x) (log 1/2)) * [misc]backup-simplify: Simplify (exp (+ (log x) (log 1/2))) into (exp (+ (log x) (log 1/2))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (sin x) (+ (cos x) 1)))) in x * [misc]taylor: Rewrote expression to (pow (cbrt (/ (sin x) (+ (cos x) 1))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (/ (sin x) (+ (cos x) 1)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (/ (sin x) (+ (cos x) 1))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (/ (sin x) (+ (cos x) 1)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (sin x) (+ (cos x) 1))) in x * [misc]taylor: Rewrote expression to (pow (/ (sin x) (+ (cos x) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (sin x) (+ (cos x) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (sin x) (+ (cos x) 1)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (sin x) (+ (cos x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (sin x) (+ (cos x) 1)) 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 (+ (cos x) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log x) (log 1/2)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log x) (log 1/2))) into (* 1/3 (+ (log x) (log 1/2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log x) (log 1/2)))) into (exp (* 1/3 (+ (log x) (log 1/2)))) * [misc]backup-simplify: Simplify (log (exp (* 1/3 (+ (log x) (log 1/2))))) into (* 1/3 (+ (log x) (log 1/2))) * [misc]backup-simplify: Simplify (* 3 (* 1/3 (+ (log x) (log 1/2)))) into (+ (log x) (log 1/2)) * [misc]backup-simplify: Simplify (exp (+ (log x) (log 1/2))) into (exp (+ (log x) (log 1/2))) * [misc]backup-simplify: Simplify (exp (+ (log x) (log 1/2))) into (exp (+ (log x) (log 1/2))) * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log x) (log 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log x) (log 1/2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log x) (log 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (* 1/3 (+ (log x) (log 1/2)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (* 1/3 (+ (log x) (log 1/2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log x) (log 1/2))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify (- (/ (- 1/6) 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/24 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 1/24) 1)) (pow 1/2 1)))) 2) into 1/12 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log x) (log 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/12) (+ (* 0 0) (* 0 (+ (log x) (log 1/2))))) into 1/36 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log x) (log 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/36 1) 1)))) into (* 1/36 (exp (* 1/3 (+ (log x) (log 1/2))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (* 1/3 (+ (log x) (log 1/2)))) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/36 (exp (* 1/3 (+ (log x) (log 1/2)))))) 1)) (pow (exp (* 1/3 (+ (log x) (log 1/2)))) 1)))) 2) into 1/36 * [misc]backup-simplify: Simplify (+ (* 3 1/36) (+ (* 0 0) (* 0 (* 1/3 (+ (log x) (log 1/2)))))) into 1/12 * [misc]backup-simplify: Simplify (* (exp (+ (log x) (log 1/2))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/12 1) 1)))) into (* 1/12 (exp (+ (log x) (log 1/2)))) * [misc]backup-simplify: Simplify (* 1/12 (exp (+ (log x) (log 1/2)))) into (* 1/12 (exp (+ (log x) (log 1/2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* 1/24 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1/24) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log x) (log 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1/12) (+ (* 0 0) (* 0 (+ (log x) (log 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log x) (log 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/36 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (* 1/3 (+ (log x) (log 1/2)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/36 (exp (* 1/3 (+ (log x) (log 1/2)))))) 1)) (pow (exp (* 1/3 (+ (log x) (log 1/2)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (+ (log x) (log 1/2)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 1/36) (+ (* 0 0) (* 0 (* 1/3 (+ (log x) (log 1/2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (+ (log x) (log 1/2))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/12 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* 1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/240 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1/24) 1)) (pow 1/2 3))) (* -3 (/ (* 1 (pow (* 2 1/24) 2)) (pow 1/2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/240) 1)) (pow 1/2 1)))) 24) into 7/1440 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log x) (log 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/3 7/1440) (+ (* 0 0) (+ (* 0 1/12) (+ (* 0 0) (* 0 (+ (log x) (log 1/2))))))) into 7/4320 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log x) (log 1/2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/36 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/36 2) 2)) (* (/ (pow 7/4320 1) 1)))) into (* 13/6480 (exp (* 1/3 (+ (log x) (log 1/2))))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (* 1/3 (+ (log x) (log 1/2)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/36 (exp (* 1/3 (+ (log x) (log 1/2)))))) 1)) (pow (exp (* 1/3 (+ (log x) (log 1/2)))) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/36 (exp (* 1/3 (+ (log x) (log 1/2)))))) 2)) (pow (exp (* 1/3 (+ (log x) (log 1/2)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (* 1/3 (+ (log x) (log 1/2)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 13/6480 (exp (* 1/3 (+ (log x) (log 1/2)))))) 1)) (pow (exp (* 1/3 (+ (log x) (log 1/2)))) 1)))) 24) into 7/4320 * [misc]backup-simplify: Simplify (+ (* 3 7/4320) (+ (* 0 0) (+ (* 0 1/36) (+ (* 0 0) (* 0 (* 1/3 (+ (log x) (log 1/2)))))))) into 7/1440 * [misc]backup-simplify: Simplify (* (exp (+ (log x) (log 1/2))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/12 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/12 2) 2)) (* (/ (pow 7/1440 1) 1)))) into (* 1/120 (exp (+ (log x) (log 1/2)))) * [misc]backup-simplify: Simplify (* 1/120 (exp (+ (log x) (log 1/2)))) into (* 1/120 (exp (+ (log x) (log 1/2)))) * [misc]backup-simplify: Simplify (+ (* (* 1/120 (exp (+ (log x) (log 1/2)))) (pow x 4)) (+ (* (* 1/12 (exp (+ (log x) (log 1/2)))) (sqr x)) (exp (+ (log x) (log 1/2))))) into (+ (* 1/120 (* (exp (+ (log x) (log 1/2))) (pow x 4))) (+ (exp (+ (log x) (log 1/2))) (* 1/12 (* (exp (+ (log x) (log 1/2))) (sqr x))))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)))) in x * [misc]taylor: Rewrote expression to (pow (cbrt (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))) in x * [misc]taylor: Rewrote expression to (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 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 (+ (cos (/ 1 x)) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 1) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))) into (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))))) into (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) into (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3)) into (log (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3))) into (* 3 (log (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3)))) into (pow (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3) 3) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)))) in x * [misc]taylor: Rewrote expression to (pow (cbrt (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))) in x * [misc]taylor: Rewrote expression to (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 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 (+ (cos (/ 1 x)) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 1) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))) into (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))))) into (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) into (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3)) into (log (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3))) into (* 3 (log (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3)))) into (pow (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3) 3) * [misc]backup-simplify: Simplify (pow (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3) 3) into (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) 3) into (pow (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3) 3) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)))) in x * [misc]taylor: Rewrote expression to (pow (cbrt (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1))) in x * [misc]taylor: Rewrote expression to (pow (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)) 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 (+ (cos (/ 1 (- x))) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 1) into (+ 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) into (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))) into (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))))) into (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))) into (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3)) into (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3))) into (* 3 (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3)))) into (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 3) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)))) in x * [misc]taylor: Rewrote expression to (pow (cbrt (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cbrt (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)))))) in x * [misc]taylor: Taking taylor expansion of (* 3 (log (cbrt (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1))))) in x * [misc]taylor: Taking taylor expansion of 3 in x * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cbrt (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1))) in x * [misc]taylor: Rewrote expression to (pow (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)) 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 (+ (cos (/ 1 (- x))) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 1) into (+ 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) into (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))) into (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))))) into (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))) into (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3)) into (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3))) into (* 3 (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3)))) into (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 3) * [misc]backup-simplify: Simplify (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 3) into (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 3) into (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ (sin x) (+ (cos x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (sin x) (+ (cos x) 1))) in x * [misc]taylor: Rewrote expression to (pow (/ (sin x) (+ (cos x) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (sin x) (+ (cos x) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (sin x) (+ (cos x) 1)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (sin x) (+ (cos x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (sin x) (+ (cos x) 1)) 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 (+ (cos x) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log x) (log 1/2)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log x) (log 1/2))) into (* 1/3 (+ (log x) (log 1/2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log x) (log 1/2)))) into (exp (* 1/3 (+ (log x) (log 1/2)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (sin x) (+ (cos x) 1))) in x * [misc]taylor: Rewrote expression to (pow (/ (sin x) (+ (cos x) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (sin x) (+ (cos x) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (sin x) (+ (cos x) 1)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (sin x) (+ (cos x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (sin x) (+ (cos x) 1)) 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 (+ (cos x) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify (log 1/2) into (log 1/2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log x) (log 1/2)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log x) (log 1/2))) into (* 1/3 (+ (log x) (log 1/2))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log x) (log 1/2)))) into (exp (* 1/3 (+ (log x) (log 1/2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log x) (log 1/2)))) into (exp (* 1/3 (+ (log x) (log 1/2)))) * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1/2 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log x) (log 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log x) (log 1/2)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log x) (log 1/2)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify (- (/ (- 1/6) 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/24 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1/2 2))) (* 1 (/ (* 1 (pow (* 2 1/24) 1)) (pow 1/2 1)))) 2) into 1/12 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log x) (log 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/3 1/12) (+ (* 0 0) (* 0 (+ (log x) (log 1/2))))) into 1/36 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log x) (log 1/2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 1/36 1) 1)))) into (* 1/36 (exp (* 1/3 (+ (log x) (log 1/2))))) * [misc]backup-simplify: Simplify (* 1/36 (exp (* 1/3 (+ (log x) (log 1/2))))) into (* 1/36 (exp (* 1/3 (+ (log x) (log 1/2))))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* 1/24 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1/2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1/24) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1/2 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log x) (log 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 1/12) (+ (* 0 0) (* 0 (+ (log x) (log 1/2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log x) (log 1/2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 1/36 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* 1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/240 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1/2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 1/24) 1)) (pow 1/2 3))) (* -3 (/ (* 1 (pow (* 2 1/24) 2)) (pow 1/2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1/2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/240) 1)) (pow 1/2 1)))) 24) into 7/1440 * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 1/2)) into (+ (log x) (log 1/2)) * [misc]backup-simplify: Simplify (+ (* 1/3 7/1440) (+ (* 0 0) (+ (* 0 1/12) (+ (* 0 0) (* 0 (+ (log x) (log 1/2))))))) into 7/4320 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log x) (log 1/2)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 1/36 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 1/36 2) 2)) (* (/ (pow 7/4320 1) 1)))) into (* 13/6480 (exp (* 1/3 (+ (log x) (log 1/2))))) * [misc]backup-simplify: Simplify (* 13/6480 (exp (* 1/3 (+ (log x) (log 1/2))))) into (* 13/6480 (exp (* 1/3 (+ (log x) (log 1/2))))) * [misc]backup-simplify: Simplify (+ (* (* 13/6480 (exp (* 1/3 (+ (log x) (log 1/2))))) (pow x 4)) (+ (* (* 1/36 (exp (* 1/3 (+ (log x) (log 1/2))))) (sqr x)) (exp (* 1/3 (+ (log x) (log 1/2)))))) into (+ (* 13/6480 (* (pow x 4) (exp (* 1/3 (+ (log x) (log 1/2)))))) (+ (exp (* 1/3 (+ (log x) (log 1/2)))) (* 1/36 (* (sqr x) (exp (* 1/3 (+ (log x) (log 1/2)))))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))) in x * [misc]taylor: Rewrote expression to (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 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 (+ (cos (/ 1 x)) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 1) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))) into (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))))) into (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) into (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))) in x * [misc]taylor: Rewrote expression to (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 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 (+ (cos (/ 1 x)) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 1) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))) into (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))))) into (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) into (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) into (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3) into (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1))) in x * [misc]taylor: Rewrote expression to (pow (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)) 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 (+ (cos (/ 1 (- x))) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 1) into (+ 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) into (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))) into (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))))) into (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))) into (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1))) in x * [misc]taylor: Rewrote expression to (pow (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)) 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 (+ (cos (/ 1 (- x))) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 1) into (+ 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) into (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))) into (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))))) into (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))) into (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) * [misc]backup-simplify: Simplify (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) into (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) into (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (+ (cos x) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (cos x) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (cos x) 1) in x * [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 in x * [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 (+ (- 1/2) 0) 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 (+ 1/24 0) 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 (- (+ 2 (* 1/24 (pow x 4))) (* 1/2 (sqr x))) * [misc]approximate: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (cos (/ 1 x)) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 1) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) 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 (+ 1 (cos (/ 1 x))) * [misc]approximate: Taking taylor expansion of (+ (cos (/ 1 (- x))) 1) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (cos (/ 1 (- x))) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (cos (/ 1 (- x))) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ 1 (cos (/ -1 x))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (sin x) (+ (cos x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin x) (+ (cos x) 1)) 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 (+ (cos x) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) 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) (+ (cos x) 1)) 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 (+ (cos x) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) 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 (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify (- (/ (- 1/6) 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 (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 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 (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ 1/24 0) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* 1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/240 * [misc]backup-simplify: Simplify 1/240 into 1/240 * [misc]backup-simplify: Simplify (+ (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (* 1/2 x))) into (+ (* 1/24 (pow x 3)) (+ (* 1/2 x) (* 1/240 (pow x 5)))) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 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 (+ (cos (/ 1 x)) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 1) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 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 (+ (cos (/ 1 x)) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 1) into (+ 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) into (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ 1 x)))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))) (* 0 (/ 0 (+ 1 (cos (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)) 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 (+ (cos (/ 1 (- x))) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 1) into (+ 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) into (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (+ (cos (/ 1 (- x))) 1)) 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 (+ (cos (/ 1 (- x))) 1) in x * [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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 1) into (+ 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) into (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) into (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (cos (/ -1 x)))) (+ (* (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))) (* 0 (/ 0 (+ 1 (cos (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) into (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/120 (* (exp (+ (log x) (log 1/2))) (pow x 4))) (+ (exp (+ (log x) (log 1/2))) (* 1/12 (* (exp (+ (log x) (log 1/2))) (sqr x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (+ (+ (* 1/2 x) (* (cube x) (* 1/12 1/2))) (* (* 1/2 x) (* (pow x 4) 1/120))) * * * * [misc]progress: [ 2 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) 1/3) 3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) * * * * [misc]progress: [ 3 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) * * * * [misc]progress: [ 4 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (* 13/6480 (* (pow x 4) (exp (* 1/3 (+ (log x) (log 1/2)))))) (+ (exp (* 1/3 (+ (log x) (log 1/2)))) (* 1/36 (* (sqr x) (exp (* 1/3 (+ (log x) (log 1/2))))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (cube (+ (* (cbrt 1/2) (cbrt x)) (* (* (cbrt 1/2) (cbrt x)) (+ (* 13/6480 (pow x 4)) (* (* 1/36 x) x))))) * * * * [misc]progress: [ 5 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (pow (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) 1/3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) * * * * [misc]progress: [ 6 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (pow (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))) 1/3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) * * * * [misc]progress: [ 7 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ (sin x) (- (+ 2 (* 1/24 (pow x 4))) (* 1/2 (sqr x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ (- 2 (* (* 1/2 x) x)) (* 1/24 (pow x 4)))) * * * * [misc]progress: [ 8 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ (sin x) (+ 1 (cos (/ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ 1 (cos (/ 1 x)))) * * * * [misc]progress: [ 9 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ (sin x) (+ 1 (cos (/ -1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ (cos (/ -1 x)) 1)) * * * * [misc]progress: [ 10 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ (* 1/24 (pow x 3)) (+ (* 1/2 x) (* 1/240 (pow x 5)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (+ (* 1/24 (cube x)) (+ (* x 1/2) (* (pow x 5) 1/240))) * * * * [misc]progress: [ 11 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) * * * * [misc]progress: [ 12 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ (sin (/ -1 x)) (+ 1 (cos (/ -1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) * * * * [misc]progress: [ 13 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (cbrt (/ (sin x) (+ (cos x) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (log (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (log (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 16 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (cbrt (/ (sin x) (+ (cos x) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (exp (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (exp (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 17 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (cbrt (/ (sin x) (+ (cos x) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (cbrt (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 18 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (cbrt (/ (sin x) (+ (cos x) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (cube (/ (sin x) (+ 1 (cos x)))) * [exit]simplify: Simplified to (cube (/ (sin x) (+ 1 (cos x)))) * * * * [misc]progress: [ 19 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ 1 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (/ (sin x) (+ (cos x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (sin x) (+ (cos x) 1)) * * * * [misc]progress: [ 20 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (/ (sin x) (+ (cos x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (sin x) (+ (cos x) 1)) * * * * [misc]progress: [ 21 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (sin x))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * [enter]simplify: Simplifying (cube (cbrt (/ 1 (+ (cos x) 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (+ (cos x) 1)) * [exit]simplify: Simplified to (/ 1 (+ (cos x) 1)) * * * * [misc]progress: [ 22 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ (sin x) (+ (pow (cos x) 3) (pow 1 3))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ 1 (cube (cos x)))) * [exit]simplify: Simplified to (/ (sin x) (+ 1 (cube (cos x)))) * [enter]simplify: Simplifying (cube (cbrt (+ (sqr (cos x)) (- (sqr 1) (* (cos x) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (44 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: [ 23 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ (sin x) (- (sqr (cos x)) (sqr 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (sin x) (* (- (sin x)) (sin x))) * [exit]simplify: Simplified to (/ (sin x) (* (- (sin x)) (sin x))) * [enter]simplify: Simplifying (cube (cbrt (- (cos x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (cos x) 1) * [exit]simplify: Simplified to (- (cos x) 1) * * * * [misc]progress: [ 24 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (cbrt (/ (sin x) (+ (cos x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (sin x) (+ (cos x) 1)) * * * * [misc]progress: [ 25 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (sin x))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * [enter]simplify: Simplifying (cube (cbrt (+ (cos x) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (+ 1 (cos x)) * [exit]simplify: Simplified to (+ 1 (cos x)) * * * * [misc]progress: [ 26 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sin x) (+ (cos x) 1))) (cbrt (/ (sin x) (+ (cos x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqr (cbrt (/ (sin x) (+ (cos x) 1)))) * [exit]simplify: Simplified to (sqr (cbrt (/ (sin x) (+ (cos x) 1)))) * * * * [misc]progress: [ 27 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (/ (sin x) (+ (cos x) 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (sqrt (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 28 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (/ (sin x) (+ (cos x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (sin x) (+ (cos x) 1)))) * [exit]simplify: Simplified to (log (cbrt (/ (sin x) (+ (cos x) 1)))) * * * * [misc]progress: [ 32 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ (sin x) (+ (cos x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (cbrt (/ (sin x) (+ (cos x) 1)))) * [exit]simplify: Simplified to (exp (cbrt (/ (sin x) (+ (cos x) 1)))) * * * * [misc]progress: [ 33 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ (sin x) (+ (cos x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (cbrt (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 34 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ (sin x) (+ (cos x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (cbrt (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 35 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin x)) * [exit]simplify: Simplified to (cbrt (sin x)) * [enter]simplify: Simplifying (cbrt (/ 1 (+ (cos x) 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (cos x) 1))) * [exit]simplify: Simplified to (cbrt (/ 1 (+ (cos x) 1))) * * * * [misc]progress: [ 36 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sin x) (+ (pow (cos x) 3) (pow 1 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin x) (+ 1 (cube (cos x))))) * [exit]simplify: Simplified to (cbrt (/ (sin x) (+ 1 (cube (cos x))))) * [enter]simplify: Simplifying (cbrt (+ (sqr (cos x)) (- (sqr 1) (* (cos x) 1)))) * * [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 (38 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (cbrt (+ (- 1 (cos x)) (* (cos x) (cos x)))) * [exit]simplify: Simplified to (cbrt (+ (- 1 (cos x)) (* (cos x) (cos x)))) * * * * [misc]progress: [ 37 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sin x) (- (sqr (cos x)) (sqr 1)))) * * [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 (30 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin x) (* (- (sin x)) (sin x)))) * [exit]simplify: Simplified to (cbrt (/ (sin x) (* (- (sin x)) (sin x)))) * [enter]simplify: Simplifying (cbrt (- (cos x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (- (cos x) 1)) * [exit]simplify: Simplified to (cbrt (- (cos x) 1)) * * * * [misc]progress: [ 38 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (sin x)) * [exit]simplify: Simplified to (cbrt (sin x)) * [enter]simplify: Simplifying (cbrt (+ (cos x) 1)) * * [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: [ 39 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (sin x) (+ (cos x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (sin x) (+ (cos x) 1)))) * [exit]simplify: Simplified to (cbrt (cbrt (/ (sin x) (+ (cos x) 1)))) * * * * [misc]progress: [ 40 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ (sin x) (+ (cos x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (sin x) (+ (cos x) 1)) * * * * [misc]progress: [ 41 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (sin x) (+ (cos x) 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (sin x) (+ (cos x) 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (sin x) (+ (cos x) 1)))) * * * * [misc]progress: [ 42 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (cos x) 1)) * * [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: [ 45 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (cos x) 1)) * * [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: [ 46 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (cos x) 1)) * * [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: [ 47 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (+ (cos x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cube (+ (cos x) 1)) * [exit]simplify: Simplified to (cube (+ (cos x) 1)) * * * * [misc]progress: [ 48 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (cos x) 1)) * * [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: [ 49 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (cos x) 3) (pow 1 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (+ 1 (cube (cos x))) * [exit]simplify: Simplified to (+ 1 (cube (cos x))) * [enter]simplify: Simplifying (+ (sqr (cos x)) (- (sqr 1) (* (cos x) 1))) * * [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 (37 enodes) * * [misc]simplify: iters left: 1 (47 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: [ 50 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (cos x)) (sqr 1)) * * [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 (26 enodes) * [exit]simplify: Simplified to (- (sqr (sin x))) * [exit]simplify: Simplified to (- (sqr (sin x))) * [enter]simplify: Simplifying (- (cos x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (- (cos x) 1) * [exit]simplify: Simplified to (- (cos x) 1) * * * * [misc]progress: [ 52 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sin x)) (log (+ (cos x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (log (sin x)) (log (+ 1 (cos x)))) * [exit]simplify: Simplified to (- (log (sin x)) (log (+ 1 (cos x)))) * * * * [misc]progress: [ 55 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sin x) (+ (cos x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (log (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 56 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sin x) (+ (cos x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (exp (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 57 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (sin x)) (cube (+ (cos x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (cube (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (cube (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 58 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sin x) (+ (cos x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (cbrt (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 59 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (sin x) (+ (cos x) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (cube (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (cube (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 60 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sin x)) (cbrt (+ (cos x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin x)) (cbrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (cbrt (sin x)) (cbrt (+ 1 (cos x)))) * * * * [misc]progress: [ 61 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sin x) (+ (cos x) 1))) * * [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: [ 62 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin x)) (sqrt (+ (cos x) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin x)) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (sqrt (sin x)) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 63 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin x)) * [exit]simplify: Simplified to (- (sin x)) * [enter]simplify: Simplifying (- (+ (cos x) 1)) * * [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: [ 64 / 71 ] 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) (+ (cos x) 1)) * * [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: [ 65 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (cos x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ (cos x) 1)) * [exit]simplify: Simplified to (/ 1 (+ (cos x) 1)) * * * * [misc]progress: [ 67 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (cos x) 1) (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: [ 68 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (sin x) 1) * [exit]simplify: Simplified to (/ (sin x) 1) * * * * [misc]progress: [ 69 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (cos x) 1) (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: [ 70 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (+ (pow (cos x) 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ 1 (cube (cos x)))) * [exit]simplify: Simplified to (/ (sin x) (+ 1 (cube (cos x)))) * * * * [misc]progress: [ 71 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (- (sqr (cos x)) (sqr 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (sin x) (- (sqr (sin x)))) * [exit]simplify: Simplified to (/ (sin x) (- (sqr (sin x)))) * * * [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 +inf.0)) , with alts (#) * [enter]simplify: Simplifying (cube (sin x)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (sin x)) * [exit]simplify: Simplified to (cube (sin x)) * [enter]simplify: Simplifying (cube (+ (cos x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cube (+ (cos x) 1)) * [exit]simplify: Simplified to (cube (+ (cos x) 1)) * [enter]simplify: Simplifying (* 1/24 (cube 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 (* (* 1/24 x) (sqr x)) * [exit]simplify: Simplified to (* (* 1/24 x) (sqr x)) * [enter]simplify: Simplifying (+ (* x 1/2) (* (pow x 5) 1/240)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (+ (* 1/2 x) (* (pow x 5) 1/240)) * [exit]simplify: Simplified to (+ (* 1/2 x) (* (pow x 5) 1/240)) * [enter]simplify: Simplifying (+ (log (sin x)) 0) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (sin x)) * [exit]simplify: Simplified to (log (sin x)) * [enter]simplify: Simplifying (log (+ (cos x) 1)) * * [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))) * [enter]simplify: Simplifying (/ (- 1 (cos x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (sin x)) * [exit]simplify: Simplified to (/ (- 1 (cos 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 (+ (cos x) 1) * [exit]simplify: Simplified to (+ (cos x) 1) * [enter]simplify: Simplifying (* (cos x) (cos x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqr (cos x)) * [exit]simplify: Simplified to (sqr (cos x)) * [enter]simplify: Simplifying (/ (sin x) (- 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sin x) (- 1 (cos x))) * [exit]simplify: Simplified to (/ (sin x) (- 1 (cos x))) * [enter]simplify: Simplifying (/ (/ 1/2 (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1/2 (sin x)) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (/ 1/2 (sin x)) (+ (cos x) 1)) * [enter]simplify: Simplifying (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (* 1/2 (cos (+ x x))) (+ (* (sin x) (cos x)) (sin x))) * [exit]simplify: Simplified to (/ (* 1/2 (cos (+ x x))) (+ (* (sin x) (cos x)) (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 (/ 1 (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sin x)) * [exit]simplify: Simplified to (/ 1 (sin x)) * [enter]simplify: Simplifying (/ (cos x) (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * [enter]simplify: Simplifying (/ (sin x) (+ (cos x) 1)) * * [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))