* [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)) (* x x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (* x x)) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- 1 (cos x)) (* x x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos x)) (* x 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 (* x x) in x * [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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (- 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos x)) (* x 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 (* x x) in x * [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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (- 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- 1/24) into -1/24 * [misc]backup-simplify: Simplify (+ 0 -1/24) into -1/24 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720) * [misc]backup-simplify: Simplify (- (- 1/720)) into 1/720 * [misc]backup-simplify: Simplify (+ 0 1/720) into 1/720 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 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 (* (/ 1 x) (/ 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]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ 1 x))) 1) into (- 1 (cos (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (* (/ 1 x) (/ 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 (* (/ 1 x) (/ 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]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ 1 x))) 1) into (- 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- 1 (cos (/ 1 x))) (pow (/ 1 x) 2)) into (/ (- 1 (cos (/ 1 x))) (pow x 2)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 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 (* (/ 1 (- x)) (/ 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]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ -1 x))) 1) into (- 1 (cos (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (* (/ 1 (- x)) (/ 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 (* (/ 1 (- x)) (/ 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]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ -1 x))) 1) into (- 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (cos (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- 1 (cos (/ -1 x))) (pow (/ 1 (- x)) 2)) into (/ (- 1 (cos (/ -1 x))) (pow x 2)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (- 1 (cos x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (- 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- 1/24) into -1/24 * [misc]backup-simplify: Simplify (+ 0 -1/24) into -1/24 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720) * [misc]backup-simplify: Simplify (- (- 1/720)) into 1/720 * [misc]backup-simplify: Simplify (+ 0 1/720) into 1/720 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) * [misc]approximate: Taking taylor expansion of (- 1 (cos (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1 (cos (/ 1 x))) into (- 1 (cos (/ 1 x))) * [misc]approximate: Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1 (cos (/ -1 x))) into (- 1 (cos (/ -1 x))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (+ 1/2 (- (* 1/720 (pow x 4)) (* (* x x) 1/24))) * * * * [misc]progress: [ 2 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos (/ 1 x))) (pow x 2)) * * [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 (20 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos (/ 1 x))) (* x x)) * * * * [misc]progress: [ 3 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos (/ -1 x))) (pow x 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos (/ -1 x))) (* x x)) * * * * [misc]progress: [ 4 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (+ (- (* (* x x) 1/2) (* (pow x 4) 1/24)) (* 1/720 (pow x 6))) (* x x)) * * * * [misc]progress: [ 5 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos (/ 1 x))) (* x x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos (/ 1 x))) (* x x)) * * * * [misc]progress: [ 6 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos (/ -1 x))) (* x x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos (/ -1 x))) (* x x)) * * * * [misc]progress: [ 7 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 (cos x))) (log (* x x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (- (log (- 1 (cos x))) (log (* x x))) * [exit]simplify: Simplified to (- (log (- 1 (cos x))) (log (* x x))) * * * * [misc]progress: [ 9 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- 1 (cos x)) (* x x))) * * [misc]simplify: iters left: 6 (7 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 (31 enodes) * [exit]simplify: Simplified to (log (/ (- 1 (cos x)) (* x x))) * [exit]simplify: Simplified to (log (/ (- 1 (cos x)) (* x x))) * * * * [misc]progress: [ 10 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- 1 (cos x)) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (exp (/ (- 1 (cos x)) (* x x))) * [exit]simplify: Simplified to (exp (/ (- 1 (cos x)) (* x x))) * * * * [misc]progress: [ 11 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (* x x) (* x x)) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3) * * * * [misc]progress: [ 12 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 (cos x)) (* x x))) (cbrt (/ (- 1 (cos x)) (* x x)))) * [enter]simplify: Simplifying (cbrt (/ (- 1 (cos x)) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 (cos x)) (* x x))) * [exit]simplify: Simplified to (cbrt (/ (- 1 (cos x)) (* x x))) * * * * [misc]progress: [ 13 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- 1 (cos x)) (* x x)) (/ (- 1 (cos x)) (* x x))) (/ (- 1 (cos x)) (* x x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 (cos x)) (* x x)) 3) * * * * [misc]progress: [ 14 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (cos x)) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (cos x)) (* x x))) * [exit]simplify: Simplified to (sqrt (/ (- 1 (cos x)) (* x x))) * [enter]simplify: Simplifying (sqrt (/ (- 1 (cos x)) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (cos x)) (* x x))) * [exit]simplify: Simplified to (sqrt (/ (- 1 (cos x)) (* x x))) * * * * [misc]progress: [ 15 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1 (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (- 1 (cos x))) * [exit]simplify: Simplified to (- (- 1 (cos x))) * [enter]simplify: Simplifying (- (* x x)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (- x) x) * [exit]simplify: Simplified to (* (- x) x) * * * * [misc]progress: [ 16 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) x) * [exit]simplify: Simplified to (/ (/ 1 x) x) * [enter]simplify: Simplifying (/ (cos x) (* x x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (cos x) (* x x)) * [exit]simplify: Simplified to (/ (cos x) (* x x)) * * * * [misc]progress: [ 17 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) (/ x (cbrt (- 1 (cos x))))) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) (/ x (cbrt (- 1 (cos x))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (cos x))) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) x) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) x) * * * * [misc]progress: [ 18 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) x) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) x) * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) x) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) x) * * * * [misc]progress: [ 19 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * [enter]simplify: Simplifying (/ (- 1 (cos x)) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * * * * [misc]progress: [ 20 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) x) * [exit]simplify: Simplified to (/ (/ 1 x) x) * * * * [misc]progress: [ 22 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (- 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (/ (* x x) (- 1 (cos x))) * [exit]simplify: Simplified to (/ (* x x) (- 1 (cos x))) * * * * [misc]progress: [ 23 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos x)) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * * * * [misc]progress: [ 24 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (cbrt (- 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* x x) (cbrt (- 1 (cos x)))) * [exit]simplify: Simplified to (/ (* x x) (cbrt (- 1 (cos x)))) * * * * [misc]progress: [ 25 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (sqrt (- 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* x x) (sqrt (- 1 (cos x)))) * [exit]simplify: Simplified to (/ (* x x) (sqrt (- 1 (cos x)))) * * * * [misc]progress: [ 26 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (- 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (/ (* x x) (- 1 (cos x))) * [exit]simplify: Simplified to (/ (* x x) (- 1 (cos x))) * * * * [misc]progress: [ 27 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 (cos x)) (* (cos x) (cos x))) (* x x)) * [exit]simplify: Simplified to (* (+ (+ 1 (cos x)) (* (cos x) (cos x))) (* x x)) * * * * [misc]progress: [ 28 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x x) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (+ (* x x) (* (cos x) (* x x))) * [exit]simplify: Simplified to (+ (* x x) (* (cos x) (* x x))) * * * * [misc]progress: [ 29 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log (- 1 (cos x))) * [exit]simplify: Simplified to (log (- 1 (cos x))) * * * * [misc]progress: [ 31 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (exp (- 1 (cos x))) * [exit]simplify: Simplified to (exp (- 1 (cos x))) * * * * [misc]progress: [ 32 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) * [exit]simplify: Simplified to (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) * [enter]simplify: Simplifying (cbrt (- 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (cos x))) * [exit]simplify: Simplified to (cbrt (- 1 (cos x))) * * * * [misc]progress: [ 33 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (pow (- 1 (cos x)) 3) * [exit]simplify: Simplified to (pow (- 1 (cos x)) 3) * * * * [misc]progress: [ 34 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (cos x))) * [exit]simplify: Simplified to (sqrt (- 1 (cos x))) * [enter]simplify: Simplifying (sqrt (- 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (cos x))) * [exit]simplify: Simplified to (sqrt (- 1 (cos x))) * * * * [misc]progress: [ 35 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow (cos x) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (- 1 (pow (cos x) 3)) * [exit]simplify: Simplified to (- 1 (pow (cos x) 3)) * [enter]simplify: Simplifying (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (+ (* (cos x) (cos x)) (+ 1 (cos x))) * [exit]simplify: Simplified to (+ (* (cos x) (cos x)) (+ 1 (cos x))) * * * * [misc]progress: [ 36 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos x)) * [exit]simplify: Simplified to (- (cos x)) * * * * [misc]progress: [ 37 / 38 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 38 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* (cos x) (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [enter]simplify: Simplifying (+ 1 (cos x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ 1 (cos x)) * [exit]simplify: Simplified to (+ 1 (cos x)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in x * [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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (* x x) in x * [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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0 (- 1/2)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/24 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ 0 1/24) into 1/24 * [misc]backup-simplify: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* -1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/720 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 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]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) 1) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (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)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin (/ 1 x)) 2) (* (+ (cos (/ 1 x)) 1) (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 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]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) 1) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (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)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (* (+ (cos (/ -1 x)) 1) (pow x 2))) * * * * [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 (pow x 2)) 2)) into (- (+ 2 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) * [misc]approximate: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (sin x) (sin x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45 * [misc]backup-simplify: Simplify 2/45 into 2/45 * [misc]backup-simplify: Simplify (+ (* 2/45 (pow x 6)) (+ (* -1/3 (pow x 4)) (* 1 (pow x 2)))) into (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) * [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 (pow (sin (/ 1 x)) 2) into (pow (sin (/ 1 x)) 2) * [misc]approximate: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) * [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 (pow (sin (/ -1 x)) 2) into (pow (sin (/ -1 x)) 2) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (* (sin x) (sin x)) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (* (sin x) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0 (- 1/2)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 * [misc]backup-simplify: Simplify -1/24 into -1/24 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ 0 1/24) into 1/24 * [misc]backup-simplify: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow x 6)) (+ (* -1/24 (pow x 4)) (* 1/2 (pow x 2)))) into (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) * [misc]approximate: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 x)) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (sin (/ 1 x))) into (pow (sin (/ 1 x)) 2) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (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)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) * [misc]approximate: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (* (sin (/ -1 x)) (sin (/ -1 x))) into (pow (sin (/ -1 x)) 2) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (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)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (+ 1/2 (- (* 1/720 (pow x 4)) (* (* x x) 1/24))) * * * * [misc]progress: [ 2 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin (/ 1 x)) 2) (* (+ (cos (/ 1 x)) 1) (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (* (/ (/ (sin (/ 1 x)) x) (+ (cos (/ 1 x)) 1)) (/ (sin (/ 1 x)) x)) * * * * [misc]progress: [ 3 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin (/ -1 x)) 2) (* (+ (cos (/ -1 x)) 1) (pow x 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin (/ -1 x)) x) (/ (sin (/ -1 x)) x)) (+ (cos (/ -1 x)) 1)) * * * * [misc]progress: [ 4 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (- (+ 2 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))) (* x x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (- (* 1/24 (pow x 4)) (- (* (* x x) 1/2) 2))) (/ (sin x) (* x x))) * * * * [misc]progress: [ 5 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ (cos (/ 1 x)) 1)) (* x x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos (/ 1 x)) 1)) * * * * [misc]progress: [ 6 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ (cos (/ -1 x)) 1)) (* x x)) * * [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 (45 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos (/ -1 x))))) * * * * [misc]progress: [ 7 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (+ 1 (cos x))) (* x x)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ (+ (* 2/45 (pow x 6)) (- (* x x) (* (pow x 4) 1/3))) (+ (* (* x x) (cos x)) (* x x))) * * * * [misc]progress: [ 8 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (sin (/ 1 x)) 2) (+ 1 (cos x))) (* x 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 (29 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (/ (sin (/ 1 x)) (* x x)) (/ (sin (/ 1 x)) (+ (cos x) 1))) * * * * [misc]progress: [ 9 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (sin (/ -1 x)) 2) (+ 1 (cos x))) (* x x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (* (sin (/ -1 x)) (sin (/ -1 x))) (+ (* (* x x) (cos x)) (* x x))) * * * * [misc]progress: [ 10 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (* x x)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (+ (- (* (* x x) 1/2) (* (pow x 4) 1/24)) (* 1/720 (pow x 6))) (* x x)) * * * * [misc]progress: [ 11 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (* x 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 (29 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (/ (/ (sin (/ 1 x)) x) (+ (cos (/ 1 x)) 1)) (/ (sin (/ 1 x)) x)) * * * * [misc]progress: [ 12 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (* x x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (/ (sin (/ -1 x)) x) (/ (/ (sin (/ -1 x)) x) (+ (cos (/ -1 x)) 1))) * * * * [misc]progress: [ 13 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (* x x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (* 2 (- (log (sin x)) (log x))) (log (+ 1 (cos x)))) * [exit]simplify: Simplified to (- (* 2 (- (log (sin x)) (log x))) (log (+ 1 (cos x)))) * * * * [misc]progress: [ 15 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (* x x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (- (+ (- (log (sin x)) (log x)) (- (log (sin x)) (log x))) (log (+ 1 (cos x)))) * [exit]simplify: Simplified to (- (+ (- (log (sin x)) (log x)) (- (log (sin x)) (log x))) (log (+ 1 (cos x)))) * * * * [misc]progress: [ 16 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (* x x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x))) * [exit]simplify: Simplified to (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (+ (log x) (log x))) * * * * [misc]progress: [ 17 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (log (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x))))) * [exit]simplify: Simplified to (log (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x))))) * * * * [misc]progress: [ 18 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (pow (exp (/ (sin x) (* x x))) (/ (sin x) (+ 1 (cos x)))) * [exit]simplify: Simplified to (pow (exp (/ (sin x) (* x x))) (/ (sin x) (+ 1 (cos x)))) * * * * [misc]progress: [ 19 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (* (* (/ (* (sin x) (sin x)) (* (pow x 3) (pow x 3))) (/ (sin x) (+ 1 (cos x)))) (* (/ (sin x) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (* (* (/ (* (sin x) (sin x)) (* (pow x 3) (pow x 3))) (/ (sin x) (+ 1 (cos x)))) (* (/ (sin x) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 20 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (pow (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) 3) * [exit]simplify: Simplified to (pow (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) 3) * * * * [misc]progress: [ 21 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (* (* x x) (* x x)) (* x x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (pow (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x)))) 3) * [exit]simplify: Simplified to (pow (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x)))) 3) * * * * [misc]progress: [ 22 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)))) * * [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 (45 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x))))) (cbrt (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x)))))) * [exit]simplify: Simplified to (* (cbrt (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x))))) (cbrt (* (/ (sin x) x) (/ (/ (sin x) x) (+ 1 (cos x)))))) * [enter]simplify: Simplifying (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * [exit]simplify: Simplified to (cbrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * * * * [misc]progress: [ 23 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * [exit]simplify: Simplified to (pow (/ (* (sin x) (sin x)) (+ (* (* x x) (cos x)) (* x x))) 3) * [exit]simplify: Simplified to (pow (/ (* (sin x) (sin x)) (+ (* (* x x) (cos x)) (* x x))) 3) * * * * [misc]progress: [ 24 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * [exit]simplify: Simplified to (sqrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * [enter]simplify: Simplifying (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * [exit]simplify: Simplified to (sqrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * * * * [misc]progress: [ 25 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (- (sin x)) (/ (+ 1 (cos x)) (sin x))) * [exit]simplify: Simplified to (/ (- (sin x)) (/ (+ 1 (cos x)) (sin x))) * [enter]simplify: Simplifying (- (* x x)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (- x) x) * [exit]simplify: Simplified to (* (- x) x) * * * * [misc]progress: [ 26 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ 1 (cos x))) (* x x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 x) (+ 1 (cos x))) x) * [exit]simplify: Simplified to (/ (/ (/ 1 x) (+ 1 (cos x))) x) * [enter]simplify: Simplifying (/ (/ (* (cos x) (cos x)) (+ 1 (cos x))) (* x x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (* (/ (cos x) x) (/ (/ (cos x) x) (+ 1 (cos x)))) * [exit]simplify: Simplified to (* (/ (cos x) x) (/ (/ (cos x) x) (+ 1 (cos x)))) * * * * [misc]progress: [ 27 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1/2 (+ 1 (cos x))) (* x x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ 1/2 (+ (* (* x x) (cos x)) (* x x))) * [exit]simplify: Simplified to (/ 1/2 (+ (* (* x x) (cos x)) (* x x))) * [enter]simplify: Simplifying (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (* 1/2 (cos (+ x x))) (+ (* (cos x) (* x x)) (* x x))) * [exit]simplify: Simplified to (/ (* 1/2 (cos (+ x x))) (+ (* (cos x) (* x x)) (* x x))) * * * * [misc]progress: [ 28 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) x) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)) * [exit]simplify: Simplified to (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x)) * [enter]simplify: Simplifying (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) * [exit]simplify: Simplified to (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) * * * * [misc]progress: [ 29 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) x) * * * * [misc]progress: [ 30 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) x) * * [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 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) x) (* (cbrt (+ (cos x) 1)) (cbrt (+ (cos x) 1)))) * [exit]simplify: Simplified to (/ (/ (sin x) x) (* (cbrt (+ (cos x) 1)) (cbrt (+ (cos x) 1)))) * [enter]simplify: Simplifying (/ (/ (sin x) (cbrt (+ 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) x) (cbrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (/ (sin x) x) (cbrt (+ (cos x) 1))) * * * * [misc]progress: [ 31 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1))) * [enter]simplify: Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (/ (sin x) x) (sqrt (+ (cos x) 1))) * * * * [misc]progress: [ 32 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin x) 1) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sin x) x) * [exit]simplify: Simplified to (/ (sin x) x) * [enter]simplify: Simplifying (/ (/ (sin x) (+ 1 (cos x))) x) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) x) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (/ (sin x) x) (+ (cos x) 1)) * * * * [misc]progress: [ 33 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ x (* x (cos x)))) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ x (* x (cos x)))) * * * * [misc]progress: [ 34 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin x) (sin x)) x) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (* (/ (sin x) x) (sin x)) * [exit]simplify: Simplified to (* (/ (sin x) x) (sin x)) * [enter]simplify: Simplifying (/ (/ 1 (+ 1 (cos x))) x) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (/ 1 x) (+ 1 (cos x))) * * * * [misc]progress: [ 35 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) x) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin x) (sin x)) x) (+ 1 (pow (cos x) 3))) * [exit]simplify: Simplified to (/ (/ (* (sin x) (sin x)) x) (+ 1 (pow (cos x) 3))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) x) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) x) * [exit]simplify: Simplified to (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) x) * * * * [misc]progress: [ 36 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) x) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * [enter]simplify: Simplifying (/ (- 1 (cos x)) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * * * * [misc]progress: [ 37 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* x x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) x) * [exit]simplify: Simplified to (/ (/ 1 x) x) * * * * [misc]progress: [ 39 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (* (/ x (sin x)) (+ 1 (cos x))) (/ x (sin x))) * [exit]simplify: Simplified to (* (* (/ x (sin x)) (+ 1 (cos x))) (/ x (sin x))) * * * * [misc]progress: [ 40 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ x (* x (cos x)))) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ x (* x (cos x)))) * * * * [misc]progress: [ 41 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (/ (* x x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 42 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 43 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ (sin x) (cbrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (/ (* x x) (sin x)) (cbrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (* (/ (* x x) (sin x)) (cbrt (+ 1 (cos x)))) * * * * [misc]progress: [ 44 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ (sin x) (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (/ (* x x) (sin x)) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (* (/ (* x x) (sin x)) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 45 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ (sin x) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (/ (* x x) (sin x)) (+ 1 (cos x))) * [exit]simplify: Simplified to (* (/ (* x x) (sin x)) (+ 1 (cos x))) * * * * [misc]progress: [ 46 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (151 enodes) * [exit]simplify: Simplified to (* (* (/ x (sin x)) (+ 1 (cos x))) (/ x (sin x))) * [exit]simplify: Simplified to (* (* (/ x (sin x)) (+ 1 (cos x))) (/ x (sin x))) * * * * [misc]progress: [ 47 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (/ 1 (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (/ x (/ 1 x)) (+ (cos x) 1)) * [exit]simplify: Simplified to (* (/ x (/ 1 x)) (+ (cos x) 1)) * * * * [misc]progress: [ 48 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (* x x) (+ (* (cos x) (cos x)) (- 1 (cos x)))) * [exit]simplify: Simplified to (/ (* x x) (+ (* (cos x) (cos x)) (- 1 (cos x)))) * * * * [misc]progress: [ 49 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* x x) (- 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * [exit]simplify: Simplified to (/ (* x x) (- 1 (cos x))) * [exit]simplify: Simplified to (/ (* x x) (- 1 (cos x))) * * * * [misc]progress: [ 50 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* x x) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (+ (* x x) (* (cos x) (* x x))) * [exit]simplify: Simplified to (+ (* x x) (* (cos x) (* x x))) * * * * [misc]progress: [ 51 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ 1 (cos x))) * [exit]simplify: Simplified to (log (+ 1 (cos x))) * * * * [misc]progress: [ 53 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* E (exp (cos x))) * [exit]simplify: Simplified to (* E (exp (cos x))) * * * * [misc]progress: [ 54 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) * [enter]simplify: Simplifying (cbrt (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (cos x))) * [exit]simplify: Simplified to (cbrt (+ 1 (cos x))) * * * * [misc]progress: [ 55 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (pow (+ (cos x) 1) 3) * [exit]simplify: Simplified to (pow (+ (cos x) 1) 3) * * * * [misc]progress: [ 56 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (cos x))) * [exit]simplify: Simplified to (sqrt (+ 1 (cos x))) * [enter]simplify: Simplifying (sqrt (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (cos x))) * [exit]simplify: Simplified to (sqrt (+ 1 (cos x))) * * * * [misc]progress: [ 57 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow 1 3) (pow (cos x) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (+ 1 (pow (cos x) 3)) * [exit]simplify: Simplified to (+ 1 (pow (cos x) 3)) * [enter]simplify: Simplifying (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (41 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: [ 58 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* (cos x) (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [enter]simplify: Simplifying (- 1 (cos x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (- 1 (cos x)) * [exit]simplify: Simplified to (- 1 (cos x)) * * * * [misc]progress: [ 60 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos x) (cos x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (cos x) (cos x)) * [exit]simplify: Simplified to (* (cos x) (cos x)) * * * * [misc]progress: [ 62 / 109 ] 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: [ 63 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos (- x x)) (cos (+ x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (- 1 (cos (+ x x))) * [exit]simplify: Simplified to (- 1 (cos (+ x x))) * * * * [misc]progress: [ 64 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 65 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [exit]simplify: Simplified to (* (sin x) (sin x)) * * * * [misc]progress: [ 66 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 2 * [exit]simplify: Simplified to 2 * * * * [misc]progress: [ 68 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sin x)) (log (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin x))) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin x))) * * * * [misc]progress: [ 70 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin x))) * [exit]simplify: Simplified to (+ (log (sin x)) (log (sin x))) * * * * [misc]progress: [ 71 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (* (sin x) (sin x))) * [exit]simplify: Simplified to (exp (* (sin x) (sin x))) * * * * [misc]progress: [ 72 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 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 (pow (* (sin x) (sin x)) 3) * [exit]simplify: Simplified to (pow (* (sin x) (sin x)) 3) * * * * [misc]progress: [ 73 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) * [exit]simplify: Simplified to (* (cbrt (* (sin x) (sin x))) (cbrt (* (sin x) (sin x)))) * [enter]simplify: Simplifying (cbrt (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (* (sin x) (sin x))) * [exit]simplify: Simplified to (cbrt (* (sin x) (sin x))) * * * * [misc]progress: [ 74 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (pow (sin x) 3) (pow (sin x) 3)) * [exit]simplify: Simplified to (* (pow (sin x) 3) (pow (sin x) 3)) * * * * [misc]progress: [ 75 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (fabs (sin x)) * [exit]simplify: Simplified to (fabs (sin x)) * [enter]simplify: Simplifying (sqrt (* (sin x) (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (fabs (sin x)) * [exit]simplify: Simplified to (fabs (sin x)) * * * * [misc]progress: [ 76 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (sin x)) (* (cbrt (sin x)) (sin x))) * [exit]simplify: Simplified to (* (cbrt (sin x)) (* (cbrt (sin x)) (sin x))) * * * * [misc]progress: [ 78 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sqrt (sin x))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (sqrt (sin x)) (sin x)) * [exit]simplify: Simplified to (* (sqrt (sin x)) (sin x)) * * * * [misc]progress: [ 79 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * * * * [misc]progress: [ 80 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sin x)) (sin x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (sin x)) (sin x)) * [exit]simplify: Simplified to (* (cbrt (sin x)) (sin x)) * * * * [misc]progress: [ 81 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (sin x)) (sin x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (* (sqrt (sin x)) (sin x)) * [exit]simplify: Simplified to (* (sqrt (sin x)) (sin x)) * * * * [misc]progress: [ 82 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [exit]simplify: Simplified to (* (sin x) (sin x)) * * * * [misc]progress: [ 83 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) * [exit]simplify: Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) * * * * [misc]progress: [ 86 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) * [exit]simplify: Simplified to (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) * * * * [misc]progress: [ 87 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * [exit]simplify: Simplified to (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * * * [misc]progress: [ 88 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (exp (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * [exit]simplify: Simplified to (exp (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * * * [misc]progress: [ 89 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (sin x) (sin x)) (sin x)) (* (* (sin x) (sin x)) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * * [misc]simplify: iters left: 2 (448 enodes) * [exit]simplify: Simplified to (/ (pow (* (sin x) (sin x)) 3) (pow (+ 1 (cos x)) 3)) * [exit]simplify: Simplified to (/ (pow (* (sin x) (sin x)) 3) (pow (+ 1 (cos x)) 3)) * * * * [misc]progress: [ 90 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (sin x) (sin x)) (* (sin x) (sin x))) (* (sin x) (sin x))) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (pow (/ (* (sin x) (sin x)) (+ 1 (cos x))) 3) * [exit]simplify: Simplified to (pow (/ (* (sin x) (sin x)) (+ 1 (cos x))) 3) * * * * [misc]progress: [ 91 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [enter]simplify: Simplifying (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * [exit]simplify: Simplified to (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * * * [misc]progress: [ 92 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (pow (/ (* (sin x) (sin x)) (+ 1 (cos x))) 3) * [exit]simplify: Simplified to (pow (/ (* (sin x) (sin x)) (+ 1 (cos x))) 3) * * * * [misc]progress: [ 93 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * [exit]simplify: Simplified to (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * [enter]simplify: Simplifying (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * [exit]simplify: Simplified to (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) * * * * [misc]progress: [ 94 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sin x) (sin x))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (sin x) (- (sin x))) * [exit]simplify: Simplified to (* (sin x) (- (sin x))) * [enter]simplify: Simplifying (- (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (+ 1 (cos x))) * [exit]simplify: Simplified to (- (+ 1 (cos x))) * * * * [misc]progress: [ 95 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ 1 (cos x))) * [exit]simplify: Simplified to (/ 1 (+ 1 (cos x))) * [enter]simplify: Simplifying (/ (* (cos x) (cos x)) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 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: [ 96 / 109 ] 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 (* 1/2 (/ (cos (+ x x)) (+ 1 (cos x)))) * [exit]simplify: Simplified to (* 1/2 (/ (cos (+ x x)) (+ 1 (cos x)))) * * * * [misc]progress: [ 97 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1))) * [enter]simplify: Simplifying (/ (sin x) (cbrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sin x) (cbrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (sin x) (cbrt (+ (cos x) 1))) * * * * [misc]progress: [ 98 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ (cos x) 1))) * [enter]simplify: Simplifying (/ (sin x) (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ (cos x) 1))) * * * * [misc]progress: [ 99 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (sin x) 1) * [exit]simplify: Simplified to (/ (sin x) 1) * [enter]simplify: Simplifying (/ (sin x) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (sin x) (+ (cos x) 1)) * * * * [misc]progress: [ 100 / 109 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ 1 (cos x))) * [exit]simplify: Simplified to (/ 1 (+ 1 (cos x))) * * * * [misc]progress: [ 102 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (* (sin x) (sin x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (* (sin x) (sin x))) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (* (sin x) (sin x))) * * * * [misc]progress: [ 103 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin x) (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (cbrt (+ 1 (cos x))))) * [exit]simplify: Simplified to (* (/ (sin x) (cbrt (+ 1 (cos x)))) (/ (sin x) (cbrt (+ 1 (cos x))))) * * * * [misc]progress: [ 104 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 105 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin x) (sin x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ (sin x) (/ 1 (sin x))) * [exit]simplify: Simplified to (/ (sin x) (/ 1 (sin x))) * * * * [misc]progress: [ 106 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (sin x)) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (sin x)) * * * * [misc]progress: [ 107 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ 1 (pow (cos x) 3))) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ 1 (pow (cos x) 3))) * * * * [misc]progress: [ 108 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 109 / 109 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 (cos x)) 2) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (+ 2 (+ (cos x) (cos x))) * [exit]simplify: Simplified to (+ 2 (+ (cos x) (cos x))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 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 (pow x 2)) 2)) into (- (+ 2 (* 1/24 (pow x 4))) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ 1 x))) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 x)) 1) into (+ (cos (/ 1 x)) 1) * [misc]approximate: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 x)) 1) into (+ (cos (/ -1 x)) 1) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ (sin x) (+ 1 (cos x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin x) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 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 (/ (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) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 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 (/ (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 (+ 0 (- 1/2)) 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 (+ 0 1/24) 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)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 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 (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 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 (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]approximate: Taking taylor expansion of (/ (sin (/ 1 (- x))) (+ 1 (cos (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) into (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) into (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) into (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) into (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (/ (sin x) (+ 1 (cos x))) x) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sin x) (+ 1 (cos x))) x) in x * [misc]taylor: Taking taylor expansion of (/ (sin x) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 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 (/ (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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ (sin x) (+ 1 (cos x))) x) in x * [misc]taylor: Taking taylor expansion of (/ (sin x) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 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 (/ (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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 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 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 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0 (- 1/2)) into -1/2 * [misc]backup-simplify: Simplify (- (/ (- 1/6) 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 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 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ 0 1/24) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 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 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 * [misc]backup-simplify: Simplify 1/240 into 1/240 * [misc]backup-simplify: Simplify (+ (* 1/240 (pow x 4)) (+ (* 1/24 (pow x 2)) 1/2)) into (+ 1/2 (+ (* 1/24 (pow x 2)) (* 1/240 (pow x 4)))) * [misc]approximate: Taking taylor expansion of (/ (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 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 (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [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)) (+ (cos (/ 1 x)) 1)) 1) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 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 (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [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)) (+ (cos (/ 1 x)) 1)) 1) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 1 x)) into (/ (sin (/ 1 x)) (* (+ (cos (/ 1 x)) 1) x)) * [misc]approximate: Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (+ 1 (cos (/ 1 (- x))))) (/ 1 (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (+ 1 (cos (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) into (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) * [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)) (+ (cos (/ -1 x)) 1)) -1) into (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))) * [misc]taylor: Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (+ 1 (cos (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) into (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) * [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)) (+ (cos (/ -1 x)) 1)) -1) into (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))) into (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))) (/ 1 (- x))) into (/ (sin (/ -1 x)) (* (+ (cos (/ -1 x)) 1) x)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ (sin x) x) (/ (/ (sin x) (+ 1 (cos x))) x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sin x) x) (/ (/ (sin x) (+ 1 (cos x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ (sin x) 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 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 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ (sin x) (+ 1 (cos x))) x) in x * [misc]taylor: Taking taylor expansion of (/ (sin x) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 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 (/ (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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ (sin x) x) (/ (/ (sin x) (+ 1 (cos x))) x)) in x * [misc]taylor: Taking taylor expansion of (/ (sin x) 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 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 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ (sin x) (+ 1 (cos x))) x) in x * [misc]taylor: Taking taylor expansion of (/ (sin x) (+ 1 (cos x))) in x * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 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 (/ (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 x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (* 1 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 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1/2)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0 (- 1/2)) into -1/2 * [misc]backup-simplify: Simplify (- (/ (- 1/6) 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/24 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) 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 (- (/ (- 1/6) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ (* 1 1/24) (+ (* 0 0) (* -1/6 1/2))) 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 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/24) (+ (* -1/6 0) (* 0 1/2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ 0 1/24) into 1/24 * [misc]backup-simplify: Simplify (- (/ 1/120 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 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 1/24 (/ 0 1)) (* 0 (/ 0 1)))) into 1/240 * [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 (- (/ 1/120 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/6 (/ 0 1)) (* 0 (/ 0 1)))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 1/240) (+ (* 0 0) (+ (* -1/6 1/24) (+ (* 0 0) (* 1/120 1/2))))) into 1/720 * [misc]backup-simplify: Simplify 1/720 into 1/720 * [misc]backup-simplify: Simplify (+ (* 1/720 (pow x 4)) (+ (* -1/24 (pow x 2)) 1/2)) into (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))) * [misc]approximate: Taking taylor expansion of (* (/ (sin (/ 1 x)) (/ 1 x)) (/ (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sin (/ 1 x)) (/ 1 x)) (/ (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (/ 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 x) in x * [misc]taylor: Taking 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)) 1) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (/ (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 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 (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [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)) (+ (cos (/ 1 x)) 1)) 1) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (* (/ (sin (/ 1 x)) (/ 1 x)) (/ (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (/ 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 x) in x * [misc]taylor: Taking 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)) 1) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (/ (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 x)) (+ 1 (cos (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 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 (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [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)) (+ (cos (/ 1 x)) 1)) 1) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (* (sin (/ 1 x)) (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) into (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))) (* 0 (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sin (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (pow (/ 1 x) 2)) into (/ (pow (sin (/ 1 x)) 2) (* (+ (cos (/ 1 x)) 1) (pow x 2))) * [misc]approximate: Taking taylor expansion of (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (/ (sin (/ 1 (- x))) (+ 1 (cos (/ 1 (- x))))) (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (/ (sin (/ 1 (- x))) (+ 1 (cos (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (/ 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 (- 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)) -1) into (* -1 (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (+ 1 (cos (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) into (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) * [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)) (+ (cos (/ -1 x)) 1)) -1) into (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))) * [misc]taylor: Taking taylor expansion of (* (/ (sin (/ 1 (- x))) (/ 1 (- x))) (/ (/ (sin (/ 1 (- x))) (+ 1 (cos (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (/ 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 (- 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)) -1) into (* -1 (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ (/ (sin (/ 1 (- x))) (+ 1 (cos (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- x))) (+ 1 (cos (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]backup-simplify: Simplify (+ 1 (cos (/ -1 x))) into (+ (cos (/ -1 x)) 1) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) into (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) * [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)) (+ (cos (/ -1 x)) 1)) -1) into (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (* (* -1 (sin (/ -1 x))) (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)))) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) into (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (sin (/ -1 x))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (sin (/ -1 x))) 0) (* 0 (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (sin (/ -1 x))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (sin (/ -1 x))) 0) (+ (* 0 0) (* 0 (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (sin (/ -1 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (sin (/ -1 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (sin (/ -1 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))) (* 0 (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (sin (/ -1 x))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (pow (/ 1 (- x)) 2)) into (/ (pow (sin (/ -1 x)) 2) (* (+ (cos (/ -1 x)) 1) (pow x 2))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin x) x) (/ (/ (sin x) (- (+ 2 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))) x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 2 (- (* 1/24 (pow x 4)) (* (* x x) 1/2)))) * * * * [misc]progress: [ 2 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin x) x) (/ (/ (sin x) (+ (cos (/ 1 x)) 1)) x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin x) x) (/ (sin x) x)) (+ (cos (/ 1 x)) 1)) * * * * [misc]progress: [ 3 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin x) x) (/ (/ (sin x) (+ (cos (/ -1 x)) 1)) x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin x) x) (/ (sin x) x)) (+ 1 (cos (/ -1 x)))) * * * * [misc]progress: [ 4 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin x) x) (/ (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) x)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (+ (* (pow x 5) 1/240) (+ (* (* x x) (* 1/24 x)) (* x 1/2))) (/ (* x x) (sin x))) * * * * [misc]progress: [ 5 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin x) x) (/ (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin x) (* x x)) (sin (/ 1 x))) (+ (cos (/ 1 x)) 1)) * * * * [misc]progress: [ 6 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin x) x) (/ (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin x) (* x x)) (sin (/ -1 x))) (+ (cos (/ -1 x)) 1)) * * * * [misc]progress: [ 7 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin x) x) (+ 1/2 (+ (* 1/24 (pow x 2)) (* 1/240 (pow x 4))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (* (+ (+ 1/2 (* 1/24 (* x x))) (* (pow x 4) 1/240)) (/ (sin x) x)) * * * * [misc]progress: [ 8 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin x) x) (/ (sin (/ 1 x)) (* (+ (cos (/ 1 x)) 1) x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (/ (* (sin (/ 1 x)) (/ (sin x) (* x x))) (+ (cos (/ 1 x)) 1)) * * * * [misc]progress: [ 9 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin x) x) (/ (sin (/ -1 x)) (* (+ (cos (/ -1 x)) 1) x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (/ (/ (sin (/ -1 x)) (/ (* x x) (sin x))) (+ (cos (/ -1 x)) 1)) * * * * [misc]progress: [ 10 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1/2 (* 1/720 (pow x 4))) (* 1/24 (pow x 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (+ 1/2 (- (* 1/720 (pow x 4)) (* (* x x) 1/24))) * * * * [misc]progress: [ 11 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin (/ 1 x)) 2) (* (+ (cos (/ 1 x)) 1) (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (* (/ (/ (sin (/ 1 x)) x) (+ (cos (/ 1 x)) 1)) (/ (sin (/ 1 x)) x)) * * * * [misc]progress: [ 12 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sin (/ -1 x)) 2) (* (+ (cos (/ -1 x)) 1) (pow x 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin (/ -1 x)) x) (/ (sin (/ -1 x)) x)) (+ (cos (/ -1 x)) 1)) * * * * [misc]progress: [ 13 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (+ 1 (cos x))) * [exit]simplify: Simplified to (log (+ 1 (cos x))) * * * * [misc]progress: [ 15 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (* E (exp (cos x))) * [exit]simplify: Simplified to (* E (exp (cos x))) * * * * [misc]progress: [ 16 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))) * [enter]simplify: Simplifying (cbrt (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 (cos x))) * [exit]simplify: Simplified to (cbrt (+ 1 (cos x))) * * * * [misc]progress: [ 17 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (pow (+ (cos x) 1) 3) * [exit]simplify: Simplified to (pow (+ (cos x) 1) 3) * * * * [misc]progress: [ 18 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (cos x))) * [exit]simplify: Simplified to (sqrt (+ 1 (cos x))) * [enter]simplify: Simplifying (sqrt (+ 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 (cos x))) * [exit]simplify: Simplified to (sqrt (+ 1 (cos x))) * * * * [misc]progress: [ 19 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow 1 3) (pow (cos x) 3)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (+ 1 (pow (cos x) 3)) * [exit]simplify: Simplified to (+ 1 (pow (cos x) 3)) * [enter]simplify: Simplifying (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (41 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: [ 20 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* (cos x) (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [exit]simplify: Simplified to (* (sin x) (sin x)) * [enter]simplify: Simplifying (- 1 (cos x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (- 1 (cos x)) * [exit]simplify: Simplified to (- 1 (cos x)) * * * * [misc]progress: [ 22 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sin x)) (log (+ 1 (cos x)))) * * [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: [ 25 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sin x) (+ 1 (cos x)))) * * [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: [ 26 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sin x) (+ 1 (cos x)))) * * [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: [ 27 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sin x) (sin x)) (sin x)) (* (* (+ 1 (cos x)) (+ 1 (cos x))) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * * [misc]simplify: iters left: 1 (434 enodes) * [exit]simplify: Simplified to (pow (/ (sin x) (+ 1 (cos x))) 3) * [exit]simplify: Simplified to (pow (/ (sin x) (+ 1 (cos x))) 3) * * * * [misc]progress: [ 28 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sin x) (+ 1 (cos x)))) (cbrt (/ (sin x) (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sin x) (+ (cos x) 1))) (cbrt (/ (sin x) (+ (cos x) 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (sin x) (+ (cos x) 1))) (cbrt (/ (sin x) (+ (cos x) 1)))) * [enter]simplify: Simplifying (cbrt (/ (sin x) (+ 1 (cos x)))) * * [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: [ 29 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sin x) (+ 1 (cos x))) (/ (sin x) (+ 1 (cos x)))) (/ (sin x) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (pow (/ (sin x) (+ (cos x) 1)) 3) * [exit]simplify: Simplified to (pow (/ (sin x) (+ (cos x) 1)) 3) * * * * [misc]progress: [ 30 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sin x) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (sqrt (/ (sin x) (+ (cos x) 1))) * [enter]simplify: Simplifying (sqrt (/ (sin x) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (sqrt (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 31 / 99 ] 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 (- (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (- (+ 1 (cos x))) * [exit]simplify: Simplified to (- (+ 1 (cos x))) * * * * [misc]progress: [ 32 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sin x)) (cbrt (+ 1 (cos x)))) (/ (cbrt (sin x)) (cbrt (+ 1 (cos x))))) * [exit]simplify: Simplified to (* (/ (cbrt (sin x)) (cbrt (+ 1 (cos x)))) (/ (cbrt (sin x)) (cbrt (+ 1 (cos x))))) * [enter]simplify: Simplifying (/ (cbrt (sin x)) (cbrt (+ 1 (cos x)))) * * [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: [ 33 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (+ 1 (cos x)))) * [enter]simplify: Simplifying (/ (cbrt (sin x)) (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin x)) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (cbrt (sin x)) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 34 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sin x)) (cbrt (sin x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (sin x)) (/ (cbrt (sin x)) 1)) * [exit]simplify: Simplified to (* (cbrt (sin x)) (/ (cbrt (sin x)) 1)) * [enter]simplify: Simplifying (/ (cbrt (sin x)) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (sin x)) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (cbrt (sin x)) (+ 1 (cos x))) * * * * [misc]progress: [ 35 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin x)) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sin x)) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (/ (sqrt (sin x)) (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x)))) * [enter]simplify: Simplifying (/ (sqrt (sin x)) (cbrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin x)) (cbrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (sqrt (sin x)) (cbrt (+ 1 (cos x)))) * * * * [misc]progress: [ 36 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin x)) (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin x)) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (sqrt (sin x)) (sqrt (+ 1 (cos x)))) * [enter]simplify: Simplifying (/ (sqrt (sin x)) (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin x)) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (sqrt (sin x)) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 37 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sin x)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin x)) 1) * [exit]simplify: Simplified to (/ (sqrt (sin x)) 1) * [enter]simplify: Simplifying (/ (sqrt (sin x)) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (sin x)) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (sqrt (sin x)) (+ 1 (cos x))) * * * * [misc]progress: [ 38 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ 1 (cos x)))) (cbrt (+ 1 (cos x)))) * [enter]simplify: Simplifying (/ (sin x) (cbrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sin x) (cbrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (sin x) (cbrt (+ (cos x) 1))) * * * * [misc]progress: [ 39 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ 1 (cos x)))) * [enter]simplify: Simplifying (/ (sin x) (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ (cos x) 1))) * * * * [misc]progress: [ 40 / 99 ] 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) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (sin x) (+ (cos x) 1)) * * * * [misc]progress: [ 41 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ 1 (cos x))) * [exit]simplify: Simplified to (/ 1 (+ 1 (cos x))) * * * * [misc]progress: [ 43 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (sin x)) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (sin x)) * * * * [misc]progress: [ 44 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1))) * * * * [misc]progress: [ 45 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ (cos x) 1))) * * * * [misc]progress: [ 46 / 99 ] 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: [ 47 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (cbrt (sin x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (cbrt (sin x))) * * * * [misc]progress: [ 48 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (sqrt (sin x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (sqrt (sin x))) * * * * [misc]progress: [ 49 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (cos x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (sin x)) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (sin x)) * * * * [misc]progress: [ 50 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (+ (pow 1 3) (pow (cos x) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ 1 (pow (cos x) 3))) * [exit]simplify: Simplified to (/ (sin x) (+ 1 (pow (cos x) 3))) * * * * [misc]progress: [ 51 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (- (* 1 1) (* (cos x) (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ 1 (sin x)) * [exit]simplify: Simplified to (/ 1 (sin x)) * * * * [misc]progress: [ 52 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (sin x) (+ 1 (cos x))) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (log (/ (/ (sin x) x) (+ (cos x) 1))) * [exit]simplify: Simplified to (log (/ (/ (sin x) x) (+ (cos x) 1))) * * * * [misc]progress: [ 54 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (sin x) (+ 1 (cos x))) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (exp (/ (/ (sin x) x) (+ (cos x) 1))) * [exit]simplify: Simplified to (exp (/ (/ (sin x) x) (+ (cos x) 1))) * * * * [misc]progress: [ 55 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (sin x) (+ 1 (cos x))) x)) (cbrt (/ (/ (sin x) (+ 1 (cos x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (sin x) x) (+ (cos x) 1))) (cbrt (/ (/ (sin x) x) (+ (cos x) 1)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (sin x) x) (+ (cos x) 1))) (cbrt (/ (/ (sin x) x) (+ (cos x) 1)))) * [enter]simplify: Simplifying (cbrt (/ (/ (sin x) (+ 1 (cos x))) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sin x) x) (+ (cos x) 1))) * [exit]simplify: Simplified to (cbrt (/ (/ (sin x) x) (+ (cos x) 1))) * * * * [misc]progress: [ 56 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (sin x) (+ 1 (cos x))) x) (/ (/ (sin x) (+ 1 (cos x))) x)) (/ (/ (sin x) (+ 1 (cos x))) x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (397 enodes) * [exit]simplify: Simplified to (pow (/ (/ (sin x) x) (+ (cos x) 1)) 3) * [exit]simplify: Simplified to (pow (/ (/ (sin x) x) (+ (cos x) 1)) 3) * * * * [misc]progress: [ 57 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sin x) (+ 1 (cos x))) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sin x) x) (+ (cos x) 1))) * [exit]simplify: Simplified to (sqrt (/ (/ (sin x) x) (+ (cos x) 1))) * [enter]simplify: Simplifying (sqrt (/ (/ (sin x) (+ 1 (cos x))) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sin x) x) (+ (cos x) 1))) * [exit]simplify: Simplified to (sqrt (/ (/ (sin x) x) (+ (cos x) 1))) * * * * [misc]progress: [ 58 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin x) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (- (sin x)) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (- (sin x)) (+ (cos x) 1)) * [enter]simplify: Simplifying (- x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- x) * [exit]simplify: Simplified to (- x) * * * * [misc]progress: [ 59 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * * * * [misc]progress: [ 61 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 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 (23 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (* (+ (cos x) 1) (/ x (sin x))) * [exit]simplify: Simplified to (* (+ (cos x) 1) (/ x (sin x))) * * * * [misc]progress: [ 62 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (cbrt (/ (sin x) (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ x (cbrt (/ (sin x) (+ (cos x) 1)))) * [exit]simplify: Simplified to (/ x (cbrt (/ (sin x) (+ (cos x) 1)))) * * * * [misc]progress: [ 63 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sqrt (/ (sin x) (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ x (sqrt (/ (sin x) (+ (cos x) 1)))) * [exit]simplify: Simplified to (/ x (sqrt (/ (sin x) (+ (cos x) 1)))) * * * * [misc]progress: [ 64 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (/ (cbrt (sin x)) (cbrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (/ x (cbrt (sin x))) (cbrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (* (/ x (cbrt (sin x))) (cbrt (+ 1 (cos x)))) * * * * [misc]progress: [ 65 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (/ (cbrt (sin x)) (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (/ x (cbrt (sin x))) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (* (/ x (cbrt (sin x))) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 66 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (/ (cbrt (sin x)) (+ 1 (cos 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 (48 enodes) * [exit]simplify: Simplified to (/ (+ (* x (cos x)) x) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (+ (* x (cos x)) x) (cbrt (sin x))) * * * * [misc]progress: [ 67 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (/ (sqrt (sin x)) (cbrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (/ x (sqrt (sin x))) (cbrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (* (/ x (sqrt (sin x))) (cbrt (+ 1 (cos x)))) * * * * [misc]progress: [ 68 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (/ (sqrt (sin x)) (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (/ x (sqrt (sin x))) (sqrt (+ 1 (cos x)))) * [exit]simplify: Simplified to (* (/ x (sqrt (sin x))) (sqrt (+ 1 (cos x)))) * * * * [misc]progress: [ 69 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (/ (sqrt (sin x)) (+ 1 (cos 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 (48 enodes) * [exit]simplify: Simplified to (/ (+ (* x (cos x)) x) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (+ (* x (cos x)) x) (sqrt (sin x))) * * * * [misc]progress: [ 70 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (/ (sin x) (cbrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (* (/ x (sin x)) (cbrt (+ (cos x) 1))) * [exit]simplify: Simplified to (* (/ x (sin x)) (cbrt (+ (cos x) 1))) * * * * [misc]progress: [ 71 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (/ (sin x) (sqrt (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (* (/ x (sin x)) (sqrt (+ (cos x) 1))) * [exit]simplify: Simplified to (* (/ x (sin x)) (sqrt (+ (cos x) 1))) * * * * [misc]progress: [ 72 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 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 (23 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (* (+ (cos x) 1) (/ x (sin x))) * [exit]simplify: Simplified to (* (+ (cos x) 1) (/ x (sin x))) * * * * [misc]progress: [ 73 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 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 (23 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * [exit]simplify: Simplified to (* (+ (cos x) 1) (/ x (sin x))) * [exit]simplify: Simplified to (* (+ (cos x) 1) (/ x (sin x))) * * * * [misc]progress: [ 74 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (/ 1 (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * [exit]simplify: Simplified to (+ (* (/ x 1) (cos x)) (/ x 1)) * [exit]simplify: Simplified to (+ (* (/ x 1) (cos x)) (/ x 1)) * * * * [misc]progress: [ 75 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ x (+ (* (cos x) (cos x)) (- 1 (cos x)))) * [exit]simplify: Simplified to (/ x (+ (* (cos x) (cos x)) (- 1 (cos x)))) * * * * [misc]progress: [ 76 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (- 1 (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ x (- 1 (cos x))) * [exit]simplify: Simplified to (/ x (- 1 (cos x))) * * * * [misc]progress: [ 77 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (+ x (* x (cos x))) * [exit]simplify: Simplified to (+ x (* x (cos x))) * * * * [misc]progress: [ 78 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin x) x) (/ (/ (sin x) (+ 1 (cos x))) x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)) * [exit]simplify: Simplified to (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)) * * * * [misc]progress: [ 79 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (sin x) x)) (log (/ (/ (sin x) (+ 1 (cos x))) x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (+ (log (/ (sin x) x)) (log (/ (/ (sin x) x) (+ 1 (cos x))))) * [exit]simplify: Simplified to (+ (log (/ (sin x) x)) (log (/ (/ (sin x) x) (+ 1 (cos x))))) * * * * [misc]progress: [ 81 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (sin x) x) (/ (/ (sin x) (+ 1 (cos x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (log (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * [exit]simplify: Simplified to (log (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * * * * [misc]progress: [ 82 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (sin x) x) (/ (/ (sin x) (+ 1 (cos x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (pow (exp (/ (sin x) x)) (/ (/ (sin x) x) (+ 1 (cos x)))) * [exit]simplify: Simplified to (pow (exp (/ (sin x) x)) (/ (/ (sin x) x) (+ 1 (cos x)))) * * * * [misc]progress: [ 83 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (sin x) x) (/ (sin x) x)) (/ (sin x) x)) (* (* (/ (/ (sin x) (+ 1 (cos x))) x) (/ (/ (sin x) (+ 1 (cos x))) x)) (/ (/ (sin x) (+ 1 (cos x))) x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (433 enodes) * [exit]simplify: Simplified to (/ (/ (pow (/ (sin x) x) 3) (/ (+ (cos x) 1) (/ (sin x) x))) (* (/ (+ (cos x) 1) (/ (sin x) x)) (/ (+ (cos x) 1) (/ (sin x) x)))) * [exit]simplify: Simplified to (/ (/ (pow (/ (sin x) x) 3) (/ (+ (cos x) 1) (/ (sin x) x))) (* (/ (+ (cos x) 1) (/ (sin x) x)) (/ (+ (cos x) 1) (/ (sin x) x)))) * * * * [misc]progress: [ 84 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (sin x) x) (/ (/ (sin x) (+ 1 (cos x))) x))) (cbrt (* (/ (sin x) x) (/ (/ (sin x) (+ 1 (cos x))) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) (cbrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)))) * [exit]simplify: Simplified to (* (cbrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) (cbrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)))) * [enter]simplify: Simplifying (cbrt (* (/ (sin x) x) (/ (/ (sin x) (+ 1 (cos x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * [exit]simplify: Simplified to (cbrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * * * * [misc]progress: [ 85 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (sin x) x) (/ (/ (sin x) (+ 1 (cos x))) x)) (* (/ (sin x) x) (/ (/ (sin x) (+ 1 (cos x))) x))) (* (/ (sin x) x) (/ (/ (sin x) (+ 1 (cos x))) x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (pow (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)) 3) * [exit]simplify: Simplified to (pow (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)) 3) * * * * [misc]progress: [ 86 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (sin x) x) (/ (/ (sin x) (+ 1 (cos x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * [exit]simplify: Simplified to (sqrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * [enter]simplify: Simplifying (sqrt (* (/ (sin x) x) (/ (/ (sin x) (+ 1 (cos x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * [exit]simplify: Simplified to (sqrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * * * * [misc]progress: [ 87 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (/ (sin x) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 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 (* x x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* x x) * [exit]simplify: Simplified to (* x x) * * * * [misc]progress: [ 88 / 99 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin x) x) (* (cbrt (/ (/ (sin x) (+ 1 (cos x))) x)) (cbrt (/ (/ (sin x) (+ 1 (cos x))) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (/ (sin x) x) (+ 1 (cos x)))) (/ (sin x) x)) (cbrt (/ (/ (sin x) x) (+ 1 (cos x))))) * [exit]simplify: Simplified to (* (* (cbrt (/ (/ (sin x) x) (+ 1 (cos x)))) (/ (sin x) x)) (cbrt (/ (/ (sin x) x) (+ 1 (cos x))))) * * * * [misc]progress: [ 90 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin x) x) (sqrt (/ (/ (sin x) (+ 1 (cos x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (/ (sin x) x) (+ 1 (cos x)))) (/ (sin x) x)) * [exit]simplify: Simplified to (* (sqrt (/ (/ (sin x) x) (+ 1 (cos x)))) (/ (sin x) x)) * * * * [misc]progress: [ 91 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin x) x) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (/ (sin x) x) * [exit]simplify: Simplified to (/ (sin x) x) * * * * [misc]progress: [ 92 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin x) x) (/ (sin x) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ (* x (cos x)) x)) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ (* x (cos x)) x)) * * * * [misc]progress: [ 93 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sin x) x)) (/ (/ (sin x) (+ 1 (cos x))) x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (/ (/ (sin x) x) (+ 1 (cos x))) (cbrt (/ (sin x) x))) * [exit]simplify: Simplified to (* (/ (/ (sin x) x) (+ 1 (cos x))) (cbrt (/ (sin x) x))) * * * * [misc]progress: [ 94 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (sin x) x)) (/ (/ (sin x) (+ 1 (cos x))) x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (/ (/ (sin x) x) (+ 1 (cos x))) (sqrt (/ (sin x) x))) * [exit]simplify: Simplified to (* (/ (/ (sin x) x) (+ 1 (cos x))) (sqrt (/ (sin x) x))) * * * * [misc]progress: [ 95 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin x) x) (/ (/ (sin x) (+ 1 (cos x))) x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)) * [exit]simplify: Simplified to (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x)) * * * * [misc]progress: [ 96 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 x) (/ (/ (sin x) (+ 1 (cos x))) x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) x) (+ x (* x (cos x)))) * [exit]simplify: Simplified to (/ (/ (sin x) x) (+ x (* x (cos x)))) * * * * [misc]progress: [ 97 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sin x) x) (/ (sin x) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ (* x (cos x)) x)) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ (* x (cos x)) x)) * * * * [misc]progress: [ 98 / 99 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (/ (/ (sin x) (+ 1 (cos x))) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ (* (cos x) x) x)) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ (* (cos x) x) x)) * * * * [misc]progress: [ 99 / 99 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 x +inf.0)) , with alts (#) * [enter]simplify: Simplifying (+ (+ 1 (cos x)) (* (cos x) (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (+ (+ 1 (cos x)) (* (cos x) (cos x))) * [exit]simplify: Simplified to (+ (+ 1 (cos x)) (* (cos x) (cos x))) * [enter]simplify: Simplifying (* x x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* x x) * [exit]simplify: Simplified to (* x x) * [enter]simplify: Simplifying (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * [exit]simplify: Simplified to (sqrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * [enter]simplify: Simplifying (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * [exit]simplify: Simplified to (sqrt (* (/ (/ (sin x) x) (+ 1 (cos x))) (/ (sin x) x))) * [enter]simplify: Simplifying (/ (/ 1 (+ 1 (cos x))) (* x x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 x) (+ 1 (cos x))) x) * [exit]simplify: Simplified to (/ (/ (/ 1 x) (+ 1 (cos x))) x) * [enter]simplify: Simplifying (/ (/ (* (cos x) (cos x)) (+ 1 (cos x))) (* x x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (* (/ (cos x) x) (/ (/ (cos x) x) (+ 1 (cos x)))) * [exit]simplify: Simplified to (* (/ (cos x) x) (/ (/ (cos x) x) (+ 1 (cos x)))) * [enter]simplify: Simplifying (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (/ (* x x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [enter]simplify: Simplifying (* (* x x) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (+ (* x x) (* (cos x) (* x x))) * [exit]simplify: Simplified to (+ (* x x) (* (cos x) (* x x))) * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * [enter]simplify: Simplifying (/ (- 1 (cos x)) x) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * [exit]simplify: Simplified to (/ (- 1 (cos x)) x) * [enter]simplify: Simplifying (/ 1 (* x x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (/ 1 x) x) * [exit]simplify: Simplified to (/ (/ 1 x) x) * [enter]simplify: Simplifying (/ (cos x) (* x x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (cos x) (* x x)) * [exit]simplify: Simplified to (/ (cos x) (* x x)) * [enter]simplify: Simplifying (/ (/ 1/2 (+ 1 (cos x))) (* x x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ 1/2 (+ (* (* x x) (cos x)) (* x x))) * [exit]simplify: Simplified to (/ 1/2 (+ (* (* x x) (cos x)) (* x x))) * [enter]simplify: Simplifying (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (* x x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (* 1/2 (cos (+ x x))) (+ (* (cos x) (* x x)) (* x x))) * [exit]simplify: Simplified to (/ (* 1/2 (cos (+ x x))) (+ (* (cos x) (* x x)) (* x 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)