* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (/ (- 1 (cos x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (sin x)) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- 1 (cos x)) (sin x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos x)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (- 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (- 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos x)) (sin x)) in x * [misc]taylor: Taking taylor expansion of (- 1 (cos x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (- 1/2)) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (- 1/24) into -1/24 * [misc]backup-simplify: Simplify (+ 0 -1/24) into -1/24 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* 1/24 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 6) 720)) 0 (* 1 (/ (pow 1 3) 6) (/ (pow 0 1) 1)) (* 1 (/ (pow 1 2) 2) (/ (pow 0 2) 2)) 0 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (- 1/720) * [misc]backup-simplify: Simplify (- (- 1/720)) into 1/720 * [misc]backup-simplify: Simplify (+ 0 1/720) into 1/720 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/240 * [misc]backup-simplify: Simplify 1/240 into 1/240 * [misc]backup-simplify: Simplify (+ (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (* 1/2 x))) into (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (cos (/ 1 x)) into (cos (/ 1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sin (/ 1 x)) into (sin (/ 1 x)) * [misc]backup-simplify: Simplify (- (cos (/ 1 x))) into (- (cos (/ 1 x))) * [misc]backup-simplify: Simplify (+ 1 (- (cos (/ 1 x)))) into (- 1 (cos (/ 1 x))) * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) into (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (sin (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ (- 1 (cos (/ 1 (- x)))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (cos (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (cos (/ 1 (- x))) into (cos (/ -1 x)) * [misc]taylor: Taking taylor expansion of (sin (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sin (/ 1 (- x))) into (sin (/ -1 x)) * [misc]backup-simplify: Simplify (- (cos (/ -1 x))) into (- (cos (/ -1 x))) * [misc]backup-simplify: Simplify (+ 1 (- (cos (/ -1 x)))) into (- 1 (cos (/ -1 x))) * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) into (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) * * * * [misc]progress: [ 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 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (+ (* 1/2 x) (+ (* (* x 1/24) (* x x)) (* 1/240 (pow x 5)))) * * * * [misc]progress: [ 2 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos (/ 1 x))) (sin (/ 1 x))) * * * * [misc]progress: [ 3 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos (/ -1 x))) (sin (/ -1 x))) * * * * [misc]progress: [ 4 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (sin x)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (+ (* (* x x) 1/2) (- (* 1/720 (pow x 6)) (* (pow x 4) 1/24))) (sin x)) * * * * [misc]progress: [ 5 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos (/ 1 x))) (sin x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos (/ 1 x))) (sin x)) * * * * [misc]progress: [ 6 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos (/ -1 x))) (sin x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos (/ -1 x))) (sin x)) * * * * [misc]progress: [ 7 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 (cos x))) (log (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (log (- 1 (cos x))) (log (sin x))) * [exit]simplify: Simplified to (- (log (- 1 (cos x))) (log (sin x))) * * * * [misc]progress: [ 9 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- 1 (cos x)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (log (/ (- 1 (cos x)) (sin x))) * [exit]simplify: Simplified to (log (/ (- 1 (cos x)) (sin x))) * * * * [misc]progress: [ 10 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- 1 (cos x)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (exp (/ (- 1 (cos x)) (sin x))) * [exit]simplify: Simplified to (exp (/ (- 1 (cos x)) (sin x))) * * * * [misc]progress: [ 11 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 (cos x)) (- 1 (cos x))) (- 1 (cos x))) (* (* (sin x) (sin x)) (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 (cos x)) (sin x)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 (cos x)) (sin x)) 3) * * * * [misc]progress: [ 12 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 (cos x)) (sin x))) (cbrt (/ (- 1 (cos x)) (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 (cos x)) (sin x))) (cbrt (/ (- 1 (cos x)) (sin x)))) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 (cos x)) (sin x))) (cbrt (/ (- 1 (cos x)) (sin x)))) * [enter]simplify: Simplifying (cbrt (/ (- 1 (cos x)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 (cos x)) (sin x))) * [exit]simplify: Simplified to (cbrt (/ (- 1 (cos x)) (sin x))) * * * * [misc]progress: [ 13 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- 1 (cos x)) (sin x)) (/ (- 1 (cos x)) (sin x))) (/ (- 1 (cos x)) (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 (cos x)) (sin x)) 3) * [exit]simplify: Simplified to (pow (/ (- 1 (cos x)) (sin x)) 3) * * * * [misc]progress: [ 14 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (cos x)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (cos x)) (sin x))) * [exit]simplify: Simplified to (sqrt (/ (- 1 (cos x)) (sin x))) * [enter]simplify: Simplifying (sqrt (/ (- 1 (cos x)) (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (cos x)) (sin x))) * [exit]simplify: Simplified to (sqrt (/ (- 1 (cos x)) (sin x))) * * * * [misc]progress: [ 15 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- 1 (cos x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (- 1 (cos x))) * [exit]simplify: Simplified to (- (- 1 (cos x))) * [enter]simplify: Simplifying (- (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin x)) * [exit]simplify: Simplified to (- (sin x)) * * * * [misc]progress: [ 16 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sin x)) * [exit]simplify: Simplified to (/ 1 (sin x)) * [enter]simplify: Simplifying (/ (cos x) (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * * * * [misc]progress: [ 17 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (cos x))) (cbrt (sin x))) (/ (cbrt (- 1 (cos x))) (cbrt (sin x)))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (cos x))) (cbrt (sin x))) (/ (cbrt (- 1 (cos x))) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (cos x))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) (cbrt (sin x))) * * * * [misc]progress: [ 18 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (cos x))) (/ (cbrt (- 1 (cos x))) (sqrt (sin x)))) * [exit]simplify: Simplified to (* (cbrt (- 1 (cos x))) (/ (cbrt (- 1 (cos x))) (sqrt (sin x)))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (cos x))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) (sqrt (sin x))) * * * * [misc]progress: [ 19 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) 1) * * [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))) (/ 1 (cbrt (- 1 (cos x))))) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) (/ 1 (cbrt (- 1 (cos x))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) (sin x)) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) (sin x)) * * * * [misc]progress: [ 20 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (cbrt (sin x))) * * * * [misc]progress: [ 21 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (sqrt (sin x))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (sqrt (sin x))) * * * * [misc]progress: [ 22 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) 1) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) 1) * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (sin x)) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (sin x)) * * * * [misc]progress: [ 23 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (- 1 (cos x)) (cbrt (sin x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (cbrt (sin x))) * * * * [misc]progress: [ 24 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sin x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sin x))) * [exit]simplify: Simplified to (/ 1 (sqrt (sin x))) * [enter]simplify: Simplifying (/ (- 1 (cos x)) (sqrt (sin x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (sqrt (sin x))) * * * * [misc]progress: [ 25 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- 1 (cos x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (sin x)) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (sin x)) * * * * [misc]progress: [ 26 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sin x)) * [exit]simplify: Simplified to (/ 1 (sin x)) * * * * [misc]progress: [ 28 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (- 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sin x) (- 1 (cos x))) * [exit]simplify: Simplified to (/ (sin x) (- 1 (cos x))) * * * * [misc]progress: [ 29 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos x)) (* (cbrt (sin x)) (cbrt (sin 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 x)) (cbrt (sin x))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (/ (- 1 (cos x)) (cbrt (sin x))) (cbrt (sin x))) * * * * [misc]progress: [ 30 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos x)) (sqrt (sin x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (sqrt (sin x))) * * * * [misc]progress: [ 31 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (cos x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) 1) * [exit]simplify: Simplified to (/ (- 1 (cos x)) 1) * * * * [misc]progress: [ 32 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (cbrt (- 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sin x) (cbrt (- 1 (cos x)))) * [exit]simplify: Simplified to (/ (sin x) (cbrt (- 1 (cos x)))) * * * * [misc]progress: [ 33 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (- 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (- 1 (cos x)))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (- 1 (cos x)))) * * * * [misc]progress: [ 34 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (- 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sin x) (- 1 (cos x))) * [exit]simplify: Simplified to (/ (sin x) (- 1 (cos x))) * * * * [misc]progress: [ 35 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (+ (* 1 1) (+ (* (cos x) (cos x)) (* 1 (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (+ (+ (sin x) (* (sin x) (cos x))) (* (* (sin x) (cos x)) (cos x))) * [exit]simplify: Simplified to (+ (+ (sin x) (* (sin x) (cos x))) (* (* (sin x) (cos x)) (cos x))) * * * * [misc]progress: [ 36 / 46 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (+ (sin x) (* (cos x) (sin x))) * [exit]simplify: Simplified to (+ (sin x) (* (cos x) (sin x))) * * * * [misc]progress: [ 37 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 46 ] 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: [ 39 / 46 ] 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: [ 40 / 46 ] 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: [ 41 / 46 ] 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: [ 42 / 46 ] 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: [ 43 / 46 ] 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: [ 44 / 46 ] 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: [ 45 / 46 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 46 ] 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))) (sin x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sin 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 (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sin 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 (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 (- 1/6)) (+ (* 0 0) (+ (* (- 1/6) 1) (* 0 0))))) into -1/3 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0 (- 1/2)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/3 2) (+ (* 1/2 (/ -1/2 2)) (* 0 (/ 0 2)))) into -1/24 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ -1/24 1) (+ (* 1/2 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/24 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* 1/24 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1/120) (+ (* 0 0) (+ (* (- 1/6) (- 1/6)) (+ (* 0 0) (+ (* 1/120 1) (* 0 0))))))) into 2/45 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ 0 1/24) into 1/24 * [misc]backup-simplify: Simplify (- (/ 2/45 2) (+ (* 1/2 (/ 1/24 2)) (* 0 (/ 0 2)) (* -1/24 (/ -1/2 2)) (* 0 (/ 0 2)))) into 1/720 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (- (/ 1/720 1) (+ (* 1/2 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/24 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/240 * [misc]backup-simplify: Simplify 1/240 into 1/240 * [misc]backup-simplify: Simplify (+ (* 1/240 (pow x 5)) (+ (* 1/24 (pow x 3)) (* 1/2 x))) into (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) * [misc]approximate: Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (sin (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (sin (/ 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 (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 (/ (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (sin (/ 1 x))) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x)))) (sin (/ 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 (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 (/ (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (sin (/ 1 x))) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) into (/ (sin (/ 1 x)) (+ (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 (sin (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (sin (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (sin (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (sin (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (sin (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (sin (/ 1 x))) (+ (* (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) into (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * [misc]approximate: Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (sin (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (sin (/ 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 (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 (/ (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (sin (/ -1 x))) into (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) * [misc]taylor: Taking taylor expansion of (/ (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x))))) (sin (/ 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 (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 (/ (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (sin (/ -1 x))) into (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) into (/ (sin (/ -1 x)) (+ (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 (sin (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (sin (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (sin (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (sin (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (sin (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (sin (/ -1 x))) (+ (* (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) into (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) * * * * [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) * [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: [ 4 / 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: 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) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (+ (* 1/2 x) (+ (* (* x 1/24) (* x x)) (* 1/240 (pow x 5)))) * * * * [misc]progress: [ 2 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * * * * [misc]progress: [ 3 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) * * * * [misc]progress: [ 4 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (- (+ 2 (* 1/24 (pow x 4))) (* 1/2 (pow x 2)))) (sin x)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (sin x) (- (* 1/24 (pow x 4)) (- (* (* x x) 1/2) 2))) * * * * [misc]progress: [ 5 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ (cos (/ 1 x)) 1)) (sin 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 (38 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ (cos (/ 1 x)) 1)) * * * * [misc]progress: [ 6 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ (cos (/ -1 x)) 1)) (sin x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ 1 (cos (/ -1 x)))) * * * * [misc]progress: [ 7 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ (* 1/2 (pow x 2)) (* 1/720 (pow x 6))) (* 1/24 (pow x 4))) (sin x)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (+ (* (* x x) 1/2) (- (* 1/720 (pow x 6)) (* (pow x 4) 1/24))) (sin x)) * * * * [misc]progress: [ 8 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (sin x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (/ (/ (sin (/ 1 x)) (sin x)) (+ (cos (/ 1 x)) 1)) (sin (/ 1 x))) * * * * [misc]progress: [ 9 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (sin x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ (* (sin (/ -1 x)) (sin (/ -1 x))) (+ (* (sin x) (cos (/ -1 x))) (sin x))) * * * * [misc]progress: [ 10 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (+ (pow x 2) (* 2/45 (pow x 6))) (* 1/3 (pow x 4))) (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (284 enodes) * [exit]simplify: Simplified to (/ (- (* x x) (- (* (pow x 4) 1/3) (* 2/45 (pow x 6)))) (+ (sin x) (* (cos x) (sin x)))) * * * * [misc]progress: [ 11 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (sin (/ 1 x)) 2) (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (/ (sin (/ 1 x)) (sin x)) (/ (sin (/ 1 x)) (+ (cos x) 1))) * * * * [misc]progress: [ 12 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (pow (sin (/ -1 x)) 2) (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (* (sin (/ -1 x)) (sin (/ -1 x))) (+ (sin x) (* (cos x) (sin x)))) * * * * [misc]progress: [ 13 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (log (sin x)) (log (sin x))) (log (+ 1 (cos x)))) (log (sin 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 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (42 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: [ 15 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (* (sin x) (sin x))) (log (+ 1 (cos x)))) (log (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (39 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: [ 16 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (log (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (+ (log (/ (sin x) (+ 1 (cos x)))) 0) * [exit]simplify: Simplified to (+ (log (/ (sin x) (+ 1 (cos x)))) 0) * * * * [misc]progress: [ 17 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (log (/ (sin x) (+ 1 (cos x)))) * [exit]simplify: Simplified to (log (/ (sin x) (+ 1 (cos x)))) * * * * [misc]progress: [ 18 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sin 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 (38 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (exp (/ (sin x) (+ 1 (cos x)))) * [exit]simplify: Simplified to (exp (/ (sin x) (+ 1 (cos x)))) * * * * [misc]progress: [ 19 / 129 ] 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)))) (* (* (sin x) (sin x)) (sin x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * [exit]simplify: Simplified to (/ (pow (sin x) 3) (pow (+ (cos x) 1) 3)) * [exit]simplify: Simplified to (/ (pow (sin x) 3) (pow (+ (cos x) 1) 3)) * * * * [misc]progress: [ 20 / 129 ] 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)))) (* (* (sin x) (sin x)) (sin x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (356 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (+ 1 (cos x))) (* (/ (sin x) (+ 1 (cos x))) (/ (sin x) (+ 1 (cos x))))) * [exit]simplify: Simplified to (* (/ (sin x) (+ 1 (cos x))) (* (/ (sin x) (+ 1 (cos x))) (/ (sin x) (+ 1 (cos x))))) * * * * [misc]progress: [ 21 / 129 ] 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)))) (* (* (sin x) (sin x)) (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (319 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: [ 22 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sin x))) (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sin x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sin x) (+ 1 (cos x)))) (cbrt (/ (sin x) (+ 1 (cos x))))) * [exit]simplify: Simplified to (* (cbrt (/ (sin x) (+ 1 (cos x)))) (cbrt (/ (sin x) (+ 1 (cos x))))) * [enter]simplify: Simplifying (cbrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sin 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 (38 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin x) (+ 1 (cos x)))) * [exit]simplify: Simplified to (cbrt (/ (sin x) (+ 1 (cos x)))) * * * * [misc]progress: [ 23 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sin x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sin x))) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * * [misc]simplify: iters left: 1 (488 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: [ 24 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sin 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 (38 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin x) (+ 1 (cos x)))) * [exit]simplify: Simplified to (sqrt (/ (sin x) (+ 1 (cos x)))) * [enter]simplify: Simplifying (sqrt (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sin 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 (38 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin x) (+ 1 (cos x)))) * [exit]simplify: Simplified to (sqrt (/ (sin x) (+ 1 (cos x)))) * * * * [misc]progress: [ 25 / 129 ] 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 (- (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin x)) * [exit]simplify: Simplified to (- (sin x)) * * * * [misc]progress: [ 26 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sin x)) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (/ 1 (sin x)) (+ 1 (cos x))) * [enter]simplify: Simplifying (/ (/ (* (cos x) (cos x)) (+ 1 (cos x))) (sin 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 (59 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (* (cos x) (cos x)) (+ (sin x) (* (cos x) (sin x)))) * [exit]simplify: Simplified to (/ (* (cos x) (cos x)) (+ (sin x) (* (cos x) (sin x)))) * * * * [misc]progress: [ 27 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1/2 (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (/ 1/2 (sin x)) (+ (cos x) 1)) * [exit]simplify: Simplified to (/ (/ 1/2 (sin x)) (+ (cos x) 1)) * [enter]simplify: Simplifying (/ (/ (* 1/2 (cos (* 2 x))) (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (/ (* 1/2 (cos (+ x x))) (+ (* (sin x) (cos x)) (sin x))) * [exit]simplify: Simplified to (/ (* 1/2 (cos (+ x x))) (+ (* (sin x) (cos x)) (sin x))) * * * * [misc]progress: [ 28 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin 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 (35 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x))) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x))) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x))) * * * * [misc]progress: [ 29 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * [enter]simplify: Simplifying (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * * * * [misc]progress: [ 30 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) 1) * * [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)))) 1)) * [exit]simplify: Simplified to (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1)) * [enter]simplify: Simplifying (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin 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)))) (sin x)) * [exit]simplify: Simplified to (/ (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)) * * * * [misc]progress: [ 31 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x))) * * * * [misc]progress: [ 32 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * * * * [misc]progress: [ 33 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) * * [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)))) 1) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin 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)))) (sin x)) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)) * * * * [misc]progress: [ 34 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) (cbrt (+ (cos x) 1))) (* (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (+ (cos x) 1)))) * [exit]simplify: Simplified to (/ (/ (sin x) (cbrt (+ (cos x) 1))) (* (* (cbrt (sin x)) (cbrt (sin x))) (cbrt (+ (cos x) 1)))) * [enter]simplify: Simplifying (/ (/ (sin x) (cbrt (+ 1 (cos x)))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) (cbrt (sin x))) (cbrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (/ (sin x) (cbrt (sin x))) (cbrt (+ (cos x) 1))) * * * * [misc]progress: [ 35 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) (sqrt (sin x))) (* (cbrt (+ (cos x) 1)) (cbrt (+ (cos x) 1)))) * [exit]simplify: Simplified to (/ (/ (sin x) (sqrt (sin x))) (* (cbrt (+ (cos x) 1)) (cbrt (+ (cos x) 1)))) * [enter]simplify: Simplifying (/ (/ (sin x) (cbrt (+ 1 (cos x)))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) (sqrt (sin x))) (cbrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (/ (sin x) (sqrt (sin x))) (cbrt (+ (cos x) 1))) * * * * [misc]progress: [ 36 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x))))) 1) * * [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 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 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)))) (sin 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 (/ 1 (cbrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ 1 (cbrt (+ (cos x) 1))) * * * * [misc]progress: [ 37 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sin x) (cbrt (sin x))) (sqrt (+ (cos x) 1))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (/ (/ (sin x) (cbrt (sin x))) (sqrt (+ (cos x) 1))) (cbrt (sin x))) * [enter]simplify: Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) (cbrt (sin x))) (sqrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (/ (sin x) (cbrt (sin x))) (sqrt (+ (cos x) 1))) * * * * [misc]progress: [ 38 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) (sqrt (sin x))) (sqrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (/ (sin x) (sqrt (sin x))) (sqrt (+ (cos x) 1))) * [enter]simplify: Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) (sqrt (sin x))) (sqrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ (/ (sin x) (sqrt (sin x))) (sqrt (+ (cos x) 1))) * * * * [misc]progress: [ 39 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin x) (sqrt (+ 1 (cos x)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 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)))) (sin 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 (/ 1 (sqrt (+ (cos x) 1))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (cos x) 1))) * * * * [misc]progress: [ 40 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin x) 1) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) (cbrt (sin x))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (/ (sin x) (cbrt (sin x))) (cbrt (sin x))) * [enter]simplify: Simplifying (/ (/ (sin x) (+ 1 (cos x))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (sin x) (* (+ (cos x) 1) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ (sin x) (* (+ (cos x) 1) (cbrt (sin x)))) * * * * [misc]progress: [ 41 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin x) 1) (sqrt (sin x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (sin x))) * [enter]simplify: Simplifying (/ (/ (sin x) (+ 1 (cos x))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ (sin x) (* (+ (cos x) 1) (sqrt (sin x)))) * [exit]simplify: Simplified to (/ (sin x) (* (+ (cos x) 1) (sqrt (sin x)))) * * * * [misc]progress: [ 42 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin x) 1) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sin x) 1) * [exit]simplify: Simplified to (/ (sin x) 1) * [enter]simplify: Simplifying (/ (/ (sin x) (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ 1 (+ (cos x) 1)) * [exit]simplify: Simplified to (/ 1 (+ (cos x) 1)) * * * * [misc]progress: [ 43 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (cbrt (sin 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 (39 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin x) (sin x)) (cbrt (sin x))) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (/ (* (sin x) (sin x)) (cbrt (sin x))) (+ 1 (cos x))) * * * * [misc]progress: [ 44 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sin x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sin x))) * [exit]simplify: Simplified to (/ 1 (sqrt (sin x))) * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin x) (sin x)) (sqrt (sin x))) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (/ (* (sin x) (sin x)) (sqrt (sin x))) (+ 1 (cos x))) * * * * [misc]progress: [ 45 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sin 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 (37 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (sin x) (+ 1 (cos x))) * * * * [misc]progress: [ 46 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin x) (sin x)) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (cbrt (sin x))) (/ (sin x) (cbrt (sin x)))) * [exit]simplify: Simplified to (* (/ (sin x) (cbrt (sin x))) (/ (sin x) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (/ 1 (+ 1 (cos x))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ 1 (* (+ 1 (cos x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ 1 (* (+ 1 (cos x)) (cbrt (sin x)))) * * * * [misc]progress: [ 47 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sin x) (sin x)) (sqrt (sin x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (sqrt (sin x))) * [enter]simplify: Simplifying (/ (/ 1 (+ 1 (cos x))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * [exit]simplify: Simplified to (/ 1 (* (+ 1 (cos x)) (sqrt (sin x)))) * [exit]simplify: Simplified to (/ 1 (* (+ 1 (cos x)) (sqrt (sin x)))) * * * * [misc]progress: [ 48 / 129 ] 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))) * [enter]simplify: Simplifying (/ (/ 1 (+ 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sin x)) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (/ 1 (sin x)) (+ 1 (cos x))) * * * * [misc]progress: [ 49 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (301 enodes) * [exit]simplify: Simplified to (/ (* (/ (sin x) (cbrt (sin x))) (/ (sin x) (cbrt (sin x)))) (+ 1 (pow (cos x) 3))) * [exit]simplify: Simplified to (/ (* (/ (sin x) (cbrt (sin x))) (/ (sin x) (cbrt (sin x)))) (+ 1 (pow (cos x) 3))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (cbrt (sin x))) * * * * [misc]progress: [ 50 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin x) (sin x)) (sqrt (sin x))) (+ 1 (pow (cos x) 3))) * [exit]simplify: Simplified to (/ (/ (* (sin x) (sin x)) (sqrt (sin x))) (+ 1 (pow (cos x) 3))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (sqrt (sin x))) * * * * [misc]progress: [ 51 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (62 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))) * [enter]simplify: Simplifying (/ (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))) (sin x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (sin x)) * [exit]simplify: Simplified to (/ (+ (- 1 (cos x)) (* (cos x) (cos x))) (sin x)) * * * * [misc]progress: [ 52 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sin x))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sin x))) (cbrt (sin x))) * [enter]simplify: Simplifying (/ (- 1 (cos x)) (cbrt (sin x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (cbrt (sin x))) * * * * [misc]progress: [ 53 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sin x))) * [exit]simplify: Simplified to (/ 1 (sqrt (sin x))) * [enter]simplify: Simplifying (/ (- 1 (cos x)) (sqrt (sin x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (sqrt (sin x))) * * * * [misc]progress: [ 54 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x)))) 1) * * [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 (33 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (- 1 (cos x)) (sin x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (sin x)) * [exit]simplify: Simplified to (/ (- 1 (cos x)) (sin x)) * * * * [misc]progress: [ 55 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sin x)) * [exit]simplify: Simplified to (/ 1 (sin x)) * * * * [misc]progress: [ 57 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (/ (* (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 (19 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (sin x)) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (sin x)) * * * * [misc]progress: [ 58 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* (cbrt (sin x)) (cbrt (sin 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 (71 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin x) (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (+ 1 (cos x)))) * [exit]simplify: Simplified to (/ (/ (* (sin x) (sin x)) (cbrt (sin x))) (* (cbrt (sin x)) (+ 1 (cos x)))) * * * * [misc]progress: [ 59 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (/ (* (sin x) (sin x)) (sqrt (sin x))) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (/ (* (sin x) (sin x)) (sqrt (sin x))) (+ 1 (cos x))) * * * * [misc]progress: [ 60 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ 1 (cos x))) * * * * [misc]progress: [ 61 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin 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 (/ (sin x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (/ (sin x) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 62 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (/ (* (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 (/ (sin x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 63 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin 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 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (cbrt (+ (cos x) 1)) * [exit]simplify: Simplified to (cbrt (+ (cos x) 1)) * * * * [misc]progress: [ 64 / 129 ] 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 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (sqrt (+ (cos x) 1)) * [exit]simplify: Simplified to (sqrt (+ (cos x) 1)) * * * * [misc]progress: [ 65 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (/ (sin x) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (+ (cos x) 1) * [exit]simplify: Simplified to (+ (cos x) 1) * * * * [misc]progress: [ 66 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (/ (* (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 (19 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (sin x)) * [exit]simplify: Simplified to (/ (+ 1 (cos x)) (sin x)) * * * * [misc]progress: [ 67 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (/ 1 (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (+ (cos x) 1) (/ 1 (sin x))) * [exit]simplify: Simplified to (/ (+ (cos x) 1) (/ 1 (sin x))) * * * * [misc]progress: [ 68 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ (* (cos x) (cos x)) (- 1 (cos x)))) * [exit]simplify: Simplified to (/ (sin x) (+ (* (cos x) (cos x)) (- 1 (cos x)))) * * * * [misc]progress: [ 69 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (- 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sin x) (- 1 (cos x))) * [exit]simplify: Simplified to (/ (sin x) (- 1 (cos x))) * * * * [misc]progress: [ 70 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (+ (sin x) (* (cos x) (sin x))) * [exit]simplify: Simplified to (+ (sin x) (* (cos x) (sin x))) * * * * [misc]progress: [ 71 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 129 ] 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: [ 73 / 129 ] 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: [ 74 / 129 ] 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: [ 75 / 129 ] 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: [ 76 / 129 ] 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: [ 77 / 129 ] 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: [ 78 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 129 ] 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: [ 80 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 129 ] 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: [ 83 / 129 ] 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: [ 84 / 129 ] 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: [ 85 / 129 ] 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: [ 86 / 129 ] 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: [ 87 / 129 ] 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: [ 88 / 129 ] 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: [ 89 / 129 ] 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: [ 90 / 129 ] 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: [ 91 / 129 ] 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: [ 92 / 129 ] 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: [ 93 / 129 ] 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: [ 94 / 129 ] 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: [ 95 / 129 ] 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: [ 96 / 129 ] 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: [ 97 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 129 ] 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: [ 99 / 129 ] 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: [ 100 / 129 ] 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: [ 101 / 129 ] 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: [ 102 / 129 ] 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: [ 103 / 129 ] 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: [ 104 / 129 ] 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: [ 105 / 129 ] 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: [ 106 / 129 ] 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: [ 107 / 129 ] 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: [ 108 / 129 ] 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: [ 109 / 129 ] 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: [ 110 / 129 ] 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: [ 111 / 129 ] 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: [ 112 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 129 ] 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: [ 114 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 115 / 129 ] 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: [ 116 / 129 ] 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: [ 117 / 129 ] 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: [ 118 / 129 ] 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: [ 119 / 129 ] 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: [ 120 / 129 ] 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: [ 121 / 129 ] 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: [ 122 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 123 / 129 ] 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: [ 124 / 129 ] 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: [ 125 / 129 ] 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: [ 126 / 129 ] 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: [ 127 / 129 ] 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: [ 128 / 129 ] 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: [ 129 / 129 ] simplifiying candidate # * * * [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) * [misc]approximate: Taking taylor expansion of (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos 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]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos 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]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -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 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) * [misc]backup-simplify: Simplify (/ -1/48 (sqrt 1/2)) into (/ -1/48 (sqrt 1/2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 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 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (pow x 5)) (+ (* (/ -1/48 (sqrt 1/2)) (pow x 3)) (* (sqrt 1/2) x))) into (- (+ (* (sqrt 1/2) x) (* 1/1440 (/ (pow x 5) (sqrt 1/2)))) (+ (* 1/48 (/ (pow x 3) (sqrt 1/2))) (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos 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]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos 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]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -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 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) * [misc]backup-simplify: Simplify (/ -1/48 (sqrt 1/2)) into (/ -1/48 (sqrt 1/2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 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 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) * [misc]backup-simplify: Simplify (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (pow x 5)) (+ (* (/ -1/48 (sqrt 1/2)) (pow x 3)) (* (sqrt 1/2) x))) into (- (+ (* (sqrt 1/2) x) (* 1/1440 (/ (pow x 5) (sqrt 1/2)))) (+ (* 1/48 (/ (pow x 3) (sqrt 1/2))) (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos 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]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos 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]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -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 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (/ -1/48 (sqrt 1/2)) 1) (+ (* (sqrt 1/2) (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into (- (* 1/6 (sqrt 1/2)) (* 1/48 (/ 1 (sqrt 1/2)))) * [misc]backup-simplify: Simplify (- (* 1/6 (sqrt 1/2)) (* 1/48 (/ 1 (sqrt 1/2)))) into (- (* 1/6 (sqrt 1/2)) (* 1/48 (/ 1 (sqrt 1/2)))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* (- (* 1/6 (sqrt 1/2)) (* 1/48 (/ 1 (sqrt 1/2)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 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 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1) (+ (* (sqrt 1/2) (/ 1/120 1)) (* 0 (/ 0 1)) (* (- (* 1/6 (sqrt 1/2)) (* 1/48 (/ 1 (sqrt 1/2)))) (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into (- (* 7/360 (sqrt 1/2)) (+ (* 1/360 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3))))) * [misc]backup-simplify: Simplify (- (* 7/360 (sqrt 1/2)) (+ (* 1/360 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3))))) into (- (* 7/360 (sqrt 1/2)) (+ (* 1/360 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3))))) * [misc]backup-simplify: Simplify (+ (* (- (* 7/360 (sqrt 1/2)) (+ (* 1/360 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3))))) (pow x 4)) (+ (* (- (* 1/6 (sqrt 1/2)) (* 1/48 (/ 1 (sqrt 1/2)))) (pow x 2)) (sqrt 1/2))) into (- (+ (* 1/6 (* (sqrt 1/2) (pow x 2))) (+ (* 7/360 (* (sqrt 1/2) (pow x 4))) (sqrt 1/2))) (+ (* 1/360 (/ (pow x 4) (sqrt 1/2))) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3)))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) (sin (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))))) into 0 * [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 (/ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (sin (/ 1 x))) into (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))))) into 0 * [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 (/ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (sin (/ 1 x))) into (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) into (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) into (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) (sin (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))))) into 0 * [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 (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (sin (/ -1 x))) into (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))))) into 0 * [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 (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (sin (/ -1 x))) into (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) into (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) into (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos 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]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos 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]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos 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]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos 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]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* 0 (- 1/6)) (+ (* 1 0) (+ (* 0 1) (* (- 1/6) 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of (sin x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) * [misc]backup-simplify: Simplify (pow (sqrt 1/2) 2) into (pow (sqrt 1/2) 2) * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -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 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (/ -1/48 (sqrt 1/2)) 1) (+ (* (sqrt 1/2) (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into (- (* 1/6 (sqrt 1/2)) (* 1/48 (/ 1 (sqrt 1/2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 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 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into (/ -1/48 (sqrt 1/2)) * [misc]backup-simplify: Simplify (- (/ (/ -1/48 (sqrt 1/2)) 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/48 (/ 1 (sqrt 1/2)))) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) (- (* 1/6 (sqrt 1/2)) (* 1/48 (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (sqrt 1/2)))) into (- (* 1/6 (pow (sqrt 1/2) 2)) 1/24) * [misc]backup-simplify: Simplify (- (* 1/6 (pow (sqrt 1/2) 2)) 1/24) into (- (* 1/6 (pow (sqrt 1/2) 2)) 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 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* (- (* 1/6 (sqrt 1/2)) (* 1/48 (/ 1 (sqrt 1/2)))) (/ 0 1)))) 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 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (+ (* 0 1/120) (+ (* 1 0) (+ (* 0 (- 1/6)) (+ (* (- 1/6) 0) (+ (* 0 1) (* 1/120 0)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ 0 2)) (* 0 (/ -1/2 2)) (* -1/24 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/48 (sqrt 1/2)))))) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 (- (* 1/6 (sqrt 1/2)) (* 1/48 (/ 1 (sqrt 1/2))))) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) 0) (* 0 (sqrt 1/2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 1 4) 24) (/ (pow 0 1) 1)) 0 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0 (* -1 (/ (pow 0 3) 6)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 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 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1) (+ (* (sqrt 1/2) (/ 1/120 1)) (* 0 (/ 0 1)) (* (- (* 1/6 (sqrt 1/2)) (* 1/48 (/ 1 (sqrt 1/2)))) (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into (- (* 7/360 (sqrt 1/2)) (+ (* 1/360 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3))))) * [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 (pow (/ -1/48 (sqrt 1/2)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ (- 1/720 (* 1/2304 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) (- (* 7/360 (sqrt 1/2)) (+ (* 1/360 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))))) (+ (* 0 0) (+ (* (- (* 1/48 (/ 1 (sqrt 1/2)))) (- (* 1/6 (sqrt 1/2)) (* 1/48 (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* (- (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/4608 (/ 1 (pow (sqrt 1/2) 3)))) (sqrt 1/2)))))) into (- (* 7/360 (pow (sqrt 1/2) 2)) 1/180) * [misc]backup-simplify: Simplify (- (* 7/360 (pow (sqrt 1/2) 2)) 1/180) into (- (* 7/360 (pow (sqrt 1/2) 2)) 1/180) * [misc]backup-simplify: Simplify (+ (* (- (* 7/360 (pow (sqrt 1/2) 2)) 1/180) (pow x 5)) (+ (* (- (* 1/6 (pow (sqrt 1/2) 2)) 1/24) (pow x 3)) (* (pow (sqrt 1/2) 2) x))) into (- (+ (* 7/360 (* (pow (sqrt 1/2) 2) (pow x 5))) (+ (* 1/6 (* (pow (sqrt 1/2) 2) (pow x 3))) (* (pow (sqrt 1/2) 2) x))) (+ (* 1/24 (pow x 3)) (* 1/180 (pow x 5)))) * [misc]approximate: Taking taylor expansion of (* (/ (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) 1) (/ (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) (sin (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) 1) (/ (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) (sin (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 1) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))))) into 0 * [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 (/ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (sin (/ 1 x))) into (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) * [misc]taylor: Taking taylor expansion of (* (/ (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) 1) (/ (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) (sin (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 1) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 1 x))))) (sin (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 x)) (sin (/ 1 x))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (* 0 (sin (/ 1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1)) (/ 0 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ 1 x)) 2) (+ (cos (/ 1 x)) 1))))) into 0 * [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 (/ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (sin (/ 1 x))) into (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) * [misc]backup-simplify: Simplify (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (sqrt (/ 1 (+ (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 (sin (/ 1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 0) (* 0 (sqrt (/ 1 (+ (cos (/ 1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) 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 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) 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 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (cos (/ 1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (cos (/ 1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ 1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))) (* 0 (/ 0 (sin (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (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 (* (/ (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) 1) (/ (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) (sin (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) 1) (/ (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) (sin (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) 1) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))))) into 0 * [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 (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (sin (/ -1 x))) into (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) * [misc]taylor: Taking taylor expansion of (* (/ (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) 1) (/ (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) (sin (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) 1) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))))) into 0 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) 1) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 1 (- x)))))) (sin (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (sin (/ 1 (- x))) (sin (/ 1 (- x)))) (+ 1 (cos (/ 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]backup-simplify: Simplify (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))) into (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (* 0 (sin (/ -1 x)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1)) (/ 0 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (pow (sin (/ -1 x)) 2) (+ (cos (/ -1 x)) 1))))) into 0 * [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 (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (sin (/ -1 x))) into (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) * [misc]backup-simplify: Simplify (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (sqrt (/ 1 (+ (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 (sin (/ -1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) 0) (* 0 (sqrt (/ 1 (+ (cos (/ -1 x)) 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) 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 (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (cos (/ -1 x)) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) 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 (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (cos (/ -1 x)) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (cos (/ -1 x)) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (cos (/ -1 x)) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 x)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ (cos (/ -1 x)) 1)) (+ (* (/ (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 x))) (+ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))) (* 0 (/ 0 (sin (/ -1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (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 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (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: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (- (+ (* (sqrt 1/2) x) (* 1/1440 (/ (pow x 5) (sqrt 1/2)))) (+ (* 1/48 (/ (pow x 3) (sqrt 1/2))) (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3))))) (sin x))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * [exit]simplify: Simplified to (/ (- (* x (sqrt 1/2)) (- (/ (* x x) (/ (sqrt 1/2) (* x 1/48))) (* (/ (pow x 5) (sqrt 1/2)) (- 1/1440 (/ 1/4608 1/2))))) (/ (sin x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * * * [misc]progress: [ 2 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) (sin x))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sin (/ 1 x)) (sin x))) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) * * * * [misc]progress: [ 3 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) (sin x))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (* (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1)) (/ (sin (/ -1 x)) (sin x))) * * * * [misc]progress: [ 4 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- (+ (* (sqrt 1/2) x) (* 1/1440 (/ (pow x 5) (sqrt 1/2)))) (+ (* 1/48 (/ (pow x 3) (sqrt 1/2))) (* 1/4608 (/ (pow x 5) (pow (sqrt 1/2) 3))))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * [exit]simplify: Simplified to (* (- (+ (* x (sqrt 1/2)) (* (/ (pow x 5) (sqrt 1/2)) (- 1/1440 (/ 1/4608 1/2)))) (/ (* x x) (/ (sqrt 1/2) (* x 1/48)))) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * * * [misc]progress: [ 5 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (sin (/ 1 x))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (/ (* (sin x) (sin x)) (+ (cos x) 1))) (sin x)) (/ (sin (/ 1 x)) 1)) (sqrt (/ 1 (+ 1 (cos (/ 1 x)))))) * * * * [misc]progress: [ 6 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (sin (/ -1 x))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (/ 1 (+ (cos (/ -1 x)) 1))) (* (/ (sin (/ -1 x)) (sin x)) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) 1) * * * * [misc]progress: [ 7 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (- (+ (* 1/6 (* (sqrt 1/2) (pow x 2))) (+ (* 7/360 (* (sqrt 1/2) (pow x 4))) (sqrt 1/2))) (+ (* 1/360 (/ (pow x 4) (sqrt 1/2))) (+ (* 1/48 (/ (pow x 2) (sqrt 1/2))) (* 1/4608 (/ (pow x 4) (pow (sqrt 1/2) 3))))))) * * [misc]simplify: iters left: 6 (38 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (/ (- (+ (* (sqrt 1/2) (+ (* 7/360 (pow x 4)) (* (* x x) 1/6))) (- (sqrt 1/2) (/ (* (* x x) 1/48) (sqrt 1/2)))) (* (/ (pow x 4) (sqrt 1/2)) (+ 1/360 (/ 1/4608 1/2)))) (/ 1 (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * * * [misc]progress: [ 8 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (sqrt (/ 1 (+ (cos (/ 1 x)) 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (+ (cos (/ 1 x)) 1))) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1)) * * * * [misc]progress: [ 9 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (sqrt (/ 1 (+ (cos (/ -1 x)) 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (29 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 (/ 1 (+ (cos (/ -1 x)) 1))) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1)) * * * * [misc]progress: [ 10 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 7/360 (* (pow (sqrt 1/2) 2) (pow x 5))) (+ (* 1/6 (* (pow (sqrt 1/2) 2) (pow x 3))) (* (pow (sqrt 1/2) 2) x))) (+ (* 1/24 (pow x 3)) (* 1/180 (pow x 5)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (284 enodes) * [exit]simplify: Simplified to (+ (+ (* x 1/2) (* (pow x 3) (- (* 1/6 1/2) 1/24))) (* (pow x 5) (- (* 7/360 1/2) 1/180))) * * * * [misc]progress: [ 11 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sin (/ 1 x)) (+ (cos (/ 1 x)) 1)) * * * * [misc]progress: [ 12 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sin (/ -1 x)) (+ (cos (/ -1 x)) 1)) * * * * [misc]progress: [ 13 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (* (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 (log (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (log (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 16 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (* (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 (exp (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (exp (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 17 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (* (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 (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 18 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 19 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (fabs (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [enter]simplify: Simplifying (sqrt (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 (sqrt (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 20 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (* (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 (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (* (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 (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 21 / 176 ] 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 (+ (cos x) 1))) (cbrt (+ (cos x) 1)))) * [exit]simplify: Simplified to (sqrt (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1)))) * [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 (+ (cos x) 1)))) * [exit]simplify: Simplified to (sqrt (/ (sin x) (cbrt (+ (cos x) 1)))) * * * * [misc]progress: [ 22 / 176 ] 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 (+ (cos x) 1)))) * [exit]simplify: Simplified to (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))) * [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 (+ (cos x) 1)))) * [exit]simplify: Simplified to (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))) * * * * [misc]progress: [ 23 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sin x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin x) 1)) * [exit]simplify: Simplified to (sqrt (/ (sin x) 1)) * [enter]simplify: Simplifying (sqrt (/ (sin x) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (sqrt (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 24 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ (* (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: [ 25 / 176 ] 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 (/ 1 (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ 1 (cos x)))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ 1 (cos x)))) * * * * [misc]progress: [ 26 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (sin x) (sin x)) (+ 1 (pow (cos x) 3)))) * [exit]simplify: Simplified to (sqrt (/ (* (sin x) (sin x)) (+ 1 (pow (cos x) 3)))) * [enter]simplify: Simplifying (sqrt (+ (* 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 (42 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cos x) (cos x)) (- 1 (cos x)))) * [exit]simplify: Simplified to (sqrt (+ (* (cos x) (cos x)) (- 1 (cos x)))) * * * * [misc]progress: [ 27 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (- 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (cos x))) * [exit]simplify: Simplified to (sqrt (- 1 (cos x))) * * * * [misc]progress: [ 28 / 176 ] 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 (+ 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: [ 29 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (* (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 (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (* (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 (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 30 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (* (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 (log (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (log (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 36 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (* (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 (exp (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (exp (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 37 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (* (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 (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 38 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 39 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (fabs (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [enter]simplify: Simplifying (sqrt (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 (sqrt (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 40 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (* (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 (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (* (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 (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 41 / 176 ] 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 (+ (cos x) 1))) (cbrt (+ (cos x) 1)))) * [exit]simplify: Simplified to (sqrt (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1)))) * [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 (+ (cos x) 1)))) * [exit]simplify: Simplified to (sqrt (/ (sin x) (cbrt (+ (cos x) 1)))) * * * * [misc]progress: [ 42 / 176 ] 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 (+ (cos x) 1)))) * [exit]simplify: Simplified to (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))) * [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 (+ (cos x) 1)))) * [exit]simplify: Simplified to (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))) * * * * [misc]progress: [ 43 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sin x) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin x) 1)) * [exit]simplify: Simplified to (sqrt (/ (sin x) 1)) * [enter]simplify: Simplifying (sqrt (/ (sin x) (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin x) (+ (cos x) 1))) * [exit]simplify: Simplified to (sqrt (/ (sin x) (+ (cos x) 1))) * * * * [misc]progress: [ 44 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ (* (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: [ 45 / 176 ] 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 (/ 1 (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ 1 (cos x)))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ 1 (cos x)))) * * * * [misc]progress: [ 46 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (sin x) (sin x)) (+ 1 (pow (cos x) 3)))) * [exit]simplify: Simplified to (sqrt (/ (* (sin x) (sin x)) (+ 1 (pow (cos x) 3)))) * [enter]simplify: Simplifying (sqrt (+ (* 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 (42 enodes) * [exit]simplify: Simplified to (sqrt (+ (* (cos x) (cos x)) (- 1 (cos x)))) * [exit]simplify: Simplified to (sqrt (+ (* (cos x) (cos x)) (- 1 (cos x)))) * * * * [misc]progress: [ 47 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (- 1 (cos x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (cos x))) * [exit]simplify: Simplified to (sqrt (- 1 (cos x))) * * * * [misc]progress: [ 48 / 176 ] 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 (+ 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: [ 49 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (* (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 (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [enter]simplify: Simplifying (sqrt (sqrt (/ (* (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 (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 50 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (log (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (log (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (log (sin x))) * [exit]simplify: Simplified to (- (log (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (log (sin x))) * * * * [misc]progress: [ 55 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * [exit]simplify: Simplified to (log (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * * * [misc]progress: [ 56 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (exp (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * [exit]simplify: Simplified to (exp (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * * * [misc]progress: [ 57 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* (* (sin x) (sin x)) (sin 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 (80 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (sin x) (sin x))) (/ (sin x) (+ 1 (cos x)))) * [exit]simplify: Simplified to (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (sin x) (sin x))) (/ (sin x) (+ 1 (cos x)))) * * * * [misc]progress: [ 58 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) (cbrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) (cbrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)))) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) (cbrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)))) * [enter]simplify: Simplifying (cbrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * * * [misc]progress: [ 59 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* (sin x) (sin x))) (/ (sin x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [exit]simplify: Simplified to (/ (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* (sin x) (sin x))) (/ (sin x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * * * [misc]progress: [ 60 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * * * [misc]progress: [ 61 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (/ (* (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 (- (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (- (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [enter]simplify: Simplifying (- (sin x)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin x)) * [exit]simplify: Simplified to (- (sin x)) * * * * [misc]progress: [ 62 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x))) (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x)))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x))) (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x))) * * * * [misc]progress: [ 63 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * * * * [misc]progress: [ 64 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) 1)) * [exit]simplify: Simplified to (* (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) 1)) * [enter]simplify: Simplifying (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sin x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sin x)) * [exit]simplify: Simplified to (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sin x)) * * * * [misc]progress: [ 65 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ (fabs (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x))) * * * * [misc]progress: [ 66 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) (sqrt (sin 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 (21 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (fabs (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * * * * [misc]progress: [ 67 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) 1) * * [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 (20 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) 1) * [exit]simplify: Simplified to (/ (fabs (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) 1) * [enter]simplify: Simplifying (/ (sqrt (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sin x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sin x)) * [exit]simplify: Simplified to (/ (sqrt (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sin x)) * * * * [misc]progress: [ 68 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x))) * * * * [misc]progress: [ 69 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * * * * [misc]progress: [ 70 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) 1) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) 1) * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sin x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sin x)) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sin x)) * * * * [misc]progress: [ 71 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1)))) (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1)))) (* (cbrt (sin x)) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin x) (cbrt (+ 1 (cos x))))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (cbrt (+ (cos x) 1)))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (cbrt (+ (cos x) 1)))) (cbrt (sin x))) * * * * [misc]progress: [ 72 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1)))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1)))) (sqrt (sin x))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin x) (cbrt (+ 1 (cos x))))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (cbrt (+ (cos x) 1)))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (cbrt (+ (cos x) 1)))) (sqrt (sin x))) * * * * [misc]progress: [ 73 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1)))) 1) * [exit]simplify: Simplified to (/ (sqrt (/ (/ (sin x) (cbrt (+ (cos x) 1))) (cbrt (+ (cos x) 1)))) 1) * [enter]simplify: Simplifying (/ (sqrt (/ (sin x) (cbrt (+ 1 (cos x))))) (sin x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (cbrt (+ (cos x) 1)))) (sin x)) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (cbrt (+ (cos x) 1)))) (sin x)) * * * * [misc]progress: [ 74 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))) (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))) (* (cbrt (sin x)) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))) (cbrt (sin x))) * * * * [misc]progress: [ 75 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))) (sqrt (sin x))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))) (sqrt (sin x))) * * * * [misc]progress: [ 76 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))) 1) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))) 1) * [enter]simplify: Simplifying (/ (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))) (sin x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))) (sin x)) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (sqrt (+ (cos x) 1)))) (sin x)) * * * * [misc]progress: [ 77 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin x) 1)) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) 1)) (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) 1)) (* (cbrt (sin x)) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin x) (+ 1 (cos x)))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (+ (cos x) 1))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (+ (cos x) 1))) (cbrt (sin x))) * * * * [misc]progress: [ 78 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin x) 1)) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) 1)) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) 1)) (sqrt (sin x))) * [enter]simplify: Simplifying (/ (sqrt (/ (sin x) (+ 1 (cos x)))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (+ (cos x) 1))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (+ (cos x) 1))) (sqrt (sin x))) * * * * [misc]progress: [ 79 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin x) 1)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) 1)) 1) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) 1)) 1) * [enter]simplify: Simplifying (/ (sqrt (/ (sin x) (+ 1 (cos x)))) (sin x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (+ (cos x) 1))) (sin x)) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (+ (cos x) 1))) (sin x)) * * * * [misc]progress: [ 80 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (sin x))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (sin x))) (cbrt (sin x))) * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x))) * * * * [misc]progress: [ 81 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (sin x))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (sin x))) * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * * * * [misc]progress: [ 82 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) 1) * [exit]simplify: Simplified to (/ (sqrt 1) 1) * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin 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)))) (sin x)) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)) * * * * [misc]progress: [ 83 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (sin x) (sin x))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (fabs (sin x)) (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ (fabs (sin x)) (* (cbrt (sin x)) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (+ 1 (cos x)))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (+ 1 (cos x)))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (+ 1 (cos x)))) (cbrt (sin x))) * * * * [misc]progress: [ 84 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (sin x) (sin x))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ (fabs (sin x)) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (fabs (sin x)) (sqrt (sin x))) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (+ 1 (cos x)))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (+ 1 (cos x)))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (+ 1 (cos x)))) (sqrt (sin x))) * * * * [misc]progress: [ 85 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (sin x) (sin x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (fabs (sin x)) 1) * [exit]simplify: Simplified to (/ (fabs (sin x)) 1) * [enter]simplify: Simplifying (/ (sqrt (/ 1 (+ 1 (cos x)))) (sin x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (+ 1 (cos x)))) (sin x)) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (+ 1 (cos x)))) (sin x)) * * * * [misc]progress: [ 86 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3)))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (pow (cos x) 3)))) (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (pow (cos x) 3)))) (* (cbrt (sin x)) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (sqrt (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (cos x) (cos x)) (- 1 (cos x)))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (+ (* (cos x) (cos x)) (- 1 (cos x)))) (cbrt (sin x))) * * * * [misc]progress: [ 87 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3)))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (pow (cos x) 3)))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (pow (cos x) 3)))) (sqrt (sin x))) * [enter]simplify: Simplifying (/ (sqrt (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* (cos x) (cos x)) (- 1 (cos x)))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (+ (* (cos x) (cos x)) (- 1 (cos x)))) (sqrt (sin x))) * * * * [misc]progress: [ 88 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (pow (cos x) 3)))) 1) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (pow (cos x) 3)))) 1) * [enter]simplify: Simplifying (/ (sqrt (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x))))) (sin x)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- 1 (cos x)) (* (cos x) (cos x)))) (sin x)) * [exit]simplify: Simplified to (/ (sqrt (+ (- 1 (cos x)) (* (cos x) (cos x)))) (sin x)) * * * * [misc]progress: [ 89 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (sin x))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (sin x))) (cbrt (sin x))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (cbrt (sin x))) * * * * [misc]progress: [ 90 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x))))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (sin x))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (sqrt (sin x))) * * * * [misc]progress: [ 91 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) 1) * [exit]simplify: Simplified to (/ (sqrt 1) 1) * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) (sin x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (sin x)) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (sin x)) * * * * [misc]progress: [ 92 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x))) * * * * [misc]progress: [ 93 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) * * * * [misc]progress: [ 94 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) 1) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) 1) * [enter]simplify: Simplifying (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sin x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sin x)) * [exit]simplify: Simplified to (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sin x)) * * * * [misc]progress: [ 95 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sin x)) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x))) * * * * [misc]progress: [ 96 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sin x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sin x))) * [exit]simplify: Simplified to (/ 1 (sqrt (sin x))) * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * * * * [misc]progress: [ 97 / 176 ] 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 (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin 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)))) (sin x)) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)) * * * * [misc]progress: [ 98 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sin x)) * [exit]simplify: Simplified to (/ 1 (sin x)) * * * * [misc]progress: [ 100 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (/ (* (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 (/ (sin x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 101 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) * * * * [misc]progress: [ 102 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * * * * [misc]progress: [ 103 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) * * [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)))) 1) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) * * * * [misc]progress: [ 104 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sin x) (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [exit]simplify: Simplified to (/ (sin x) (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * * * [misc]progress: [ 105 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * * * [misc]progress: [ 106 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * * * [misc]progress: [ 107 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (/ (sin x) (cbrt (+ 1 (cos x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (/ (sin x) (cbrt (+ (cos x) 1))))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (/ (sin x) (cbrt (+ (cos x) 1))))) * * * * [misc]progress: [ 108 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (/ (sin x) (sqrt (+ 1 (cos x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (/ (sin x) (sqrt (+ (cos x) 1))))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (/ (sin x) (sqrt (+ (cos x) 1))))) * * * * [misc]progress: [ 109 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin 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 (/ (sin x) (sqrt (/ (sin x) (+ (cos x) 1)))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (/ (sin x) (+ (cos x) 1)))) * * * * [misc]progress: [ 110 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (/ (* (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 (/ (sin x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 111 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (/ 1 (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (/ 1 (+ (cos x) 1)))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (/ 1 (+ (cos x) 1)))) * * * * [misc]progress: [ 112 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (+ (* 1 1) (- (* (cos x) (cos x)) (* 1 (cos x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ (- 1 (cos x)) (* (cos x) (cos x))))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (+ (- 1 (cos x)) (* (cos x) (cos x))))) * * * * [misc]progress: [ 113 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (- 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (- 1 (cos x)))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (- 1 (cos x)))) * * * * [misc]progress: [ 114 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * * * [misc]progress: [ 115 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin x) (sqrt (/ (* (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 (/ (sin x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 116 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sin x) (sqrt (+ 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (cos x) 1)) (sin x)) * [exit]simplify: Simplified to (* (sqrt (+ (cos x) 1)) (sin x)) * * * * [misc]progress: [ 117 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) (+ 1 (cos x))) 1) * [exit]simplify: Simplified to (/ (/ (sin x) (+ 1 (cos x))) 1) * * * * [misc]progress: [ 118 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1)) (- (log (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (log (sin x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (+ (- (log (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (log (sin x))) (log (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1))) * [exit]simplify: Simplified to (+ (- (log (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (log (sin x))) (log (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1))) * * * * [misc]progress: [ 120 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1)) (log (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (+ (log (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) (log (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1))) * [exit]simplify: Simplified to (+ (log (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) (log (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1))) * * * * [misc]progress: [ 121 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (log (/ (/ (sin x) (+ 1 (cos x))) 1)) * [exit]simplify: Simplified to (log (/ (/ (sin x) (+ 1 (cos x))) 1)) * * * * [misc]progress: [ 122 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (exp (/ (/ (sin x) (+ 1 (cos x))) 1)) * [exit]simplify: Simplified to (exp (/ (/ (sin x) (+ 1 (cos x))) 1)) * * * * [misc]progress: [ 123 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1)) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1)) (/ (* (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* (* (sin x) (sin x)) (sin x)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (230 enodes) * * [misc]simplify: iters left: 2 (450 enodes) * [exit]simplify: Simplified to (* (/ (sin x) (+ 1 (cos x))) (* (/ (sin x) (+ 1 (cos x))) (/ (sin x) (+ 1 (cos x))))) * [exit]simplify: Simplified to (* (/ (sin x) (+ 1 (cos x))) (* (/ (sin x) (+ 1 (cos x))) (/ (sin x) (+ 1 (cos x))))) * * * * [misc]progress: [ 124 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1)) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1)) (* (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (sin x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* (sin x) (sin x)))) * [exit]simplify: Simplified to (* (/ (/ (* (/ (* (sin x) (sin x)) (+ 1 (cos x))) (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (sin x)) (/ (/ (* (sin x) (sin x)) (+ 1 (cos x))) (* (sin x) (sin x)))) * * * * [misc]progress: [ 125 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)))) (cbrt (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (sin x) (+ 1 (cos x))) 1)) (cbrt (/ (/ (sin x) (+ 1 (cos x))) 1))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (sin x) (+ 1 (cos x))) 1)) (cbrt (/ (/ (sin x) (+ 1 (cos x))) 1))) * [enter]simplify: Simplifying (cbrt (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sin x) (+ 1 (cos x))) 1)) * [exit]simplify: Simplified to (cbrt (/ (/ (sin x) (+ 1 (cos x))) 1)) * * * * [misc]progress: [ 126 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)))) (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (289 enodes) * [exit]simplify: Simplified to (pow (/ (/ (sin x) (+ 1 (cos x))) 1) 3) * [exit]simplify: Simplified to (pow (/ (/ (sin x) (+ 1 (cos x))) 1) 3) * * * * [misc]progress: [ 127 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sin x) (+ 1 (cos x))) 1)) * [exit]simplify: Simplified to (sqrt (/ (/ (sin x) (+ 1 (cos x))) 1)) * [enter]simplify: Simplifying (sqrt (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sin x) (+ 1 (cos x))) 1)) * [exit]simplify: Simplified to (sqrt (/ (/ (sin x) (+ 1 (cos x))) 1)) * * * * [misc]progress: [ 128 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (/ (* (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 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ 1 (cos x))) * [enter]simplify: Simplifying (* 1 (sin x)) * * [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: [ 129 / 176 ] simplifiying candidate # * * * * [misc]progress: [ 130 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (* (cbrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) (cbrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ 1 (cbrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))))) * [exit]simplify: Simplified to (/ (* (cbrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ 1 (cbrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))))) * * * * [misc]progress: [ 131 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (sqrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) (/ 1 (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) (/ 1 (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * * * [misc]progress: [ 132 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (* (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (cbrt (sin x)) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x)))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (cbrt (sin x)) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x)))) * * * * [misc]progress: [ 133 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (* (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) (sqrt (sin x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ 1 (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))))) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x))) (/ (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ 1 (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))))) * * * * [misc]progress: [ 134 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (* (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) (/ 1 (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))))) * [exit]simplify: Simplified to (/ (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) (/ 1 (cbrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))))) * * * * [misc]progress: [ 135 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x))) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x)))) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (cbrt (sin x))) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x)))) * * * * [misc]progress: [ 136 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) (sqrt (sin x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) (fabs (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [exit]simplify: Simplified to (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) (fabs (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * * * [misc]progress: [ 137 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (* (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (fabs (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [exit]simplify: Simplified to (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (fabs (cbrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * * * [misc]progress: [ 138 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) * * * * [misc]progress: [ 139 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [exit]simplify: Simplified to (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * * * [misc]progress: [ 140 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1)) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1)) * * * * [misc]progress: [ 141 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (* (cbrt (sin x)) (cbrt (sin x))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (cbrt (sin x))) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x)))) * [exit]simplify: Simplified to (* (/ (sqrt (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (cbrt (sin x))) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x)))) * * * * [misc]progress: [ 142 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (sqrt (sin x)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (/ (sqrt (sin x)) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (/ (sqrt (sin x)) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * * * [misc]progress: [ 143 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) 1)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1)) * [exit]simplify: Simplified to (* (sqrt (/ (sin x) (* (cbrt (+ 1 (cos x))) (cbrt (+ 1 (cos x)))))) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1)) * * * * [misc]progress: [ 144 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x))))) * [exit]simplify: Simplified to (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x))))) * * * * [misc]progress: [ 145 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))) (sqrt (sin x)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))) (/ (sqrt (sin x)) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))) (/ (sqrt (sin x)) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * * * [misc]progress: [ 146 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (sin x) (sqrt (+ 1 (cos x))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (sqrt (/ (sin x) (sqrt (+ 1 (cos x)))))) * [exit]simplify: Simplified to (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (sqrt (/ (sin x) (sqrt (+ 1 (cos x)))))) * * * * [misc]progress: [ 147 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (sin x) 1)) (* (cbrt (sin x)) (cbrt (sin x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ (sin x) 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (* (/ (sqrt (/ (sin x) 1)) (* (cbrt (sin x)) (cbrt (sin x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 148 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (sin x) 1)) (sqrt (sin x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (sqrt (/ (sin x) 1)) (sqrt (sin x)))) * [exit]simplify: Simplified to (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (sqrt (/ (sin x) 1)) (sqrt (sin x)))) * * * * [misc]progress: [ 149 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (sin x) 1)) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 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 (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (sqrt (/ (sin x) 1)) 1)) * [exit]simplify: Simplified to (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (sqrt (/ (sin x) 1)) 1)) * * * * [misc]progress: [ 150 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt 1) (* (cbrt (sin x)) (cbrt (sin x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt 1) (cbrt (sin x))) (cbrt (sin x))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (* (/ (/ (sqrt 1) (cbrt (sin x))) (cbrt (sin x))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 151 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt 1) (sqrt (sin x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (sqrt (sin x)) (sqrt 1))) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (sqrt (sin x)) (sqrt 1))) * * * * [misc]progress: [ 152 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt 1) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) 1) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (* (/ (sqrt 1) 1) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 153 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (* (sin x) (sin x))) (* (cbrt (sin x)) (cbrt (sin x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (142 enodes) * [exit]simplify: Simplified to (* (/ (fabs (sin x)) (* (cbrt (sin x)) (cbrt (sin x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (* (/ (fabs (sin x)) (* (cbrt (sin x)) (cbrt (sin x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 154 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (* (sin x) (sin x))) (sqrt (sin x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (fabs (sin x)) (sqrt (sin x)))) * [exit]simplify: Simplified to (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (fabs (sin x)) (sqrt (sin x)))) * * * * [misc]progress: [ 155 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (* (sin x) (sin x))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (fabs (sin x)) 1)) * [exit]simplify: Simplified to (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (fabs (sin x)) 1)) * * * * [misc]progress: [ 156 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3)))) (* (cbrt (sin x)) (cbrt (sin x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x))) (/ (sqrt (/ (* (sin x) (sin x)) (+ (pow (cos x) 3) 1))) (cbrt (sin x)))) * [exit]simplify: Simplified to (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (cbrt (sin x))) (/ (sqrt (/ (* (sin x) (sin x)) (+ (pow (cos x) 3) 1))) (cbrt (sin x)))) * * * * [misc]progress: [ 157 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3)))) (sqrt (sin x)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ (pow (cos x) 3) 1))) (/ (sqrt (sin x)) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ (pow (cos x) 3) 1))) (/ (sqrt (sin x)) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * * * [misc]progress: [ 158 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ (pow 1 3) (pow (cos x) 3)))) 1)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ (pow (cos x) 3) 1))) (/ 1 (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ (pow (cos x) 3) 1))) (/ 1 (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * * * [misc]progress: [ 159 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x))))) (* (cbrt (sin x)) (cbrt (sin x))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (* (/ (fabs 1) (* (cbrt (sin x)) (cbrt (sin x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * [exit]simplify: Simplified to (* (/ (fabs 1) (* (cbrt (sin x)) (cbrt (sin x)))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * * * [misc]progress: [ 160 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x))))) (sqrt (sin x)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (fabs 1) (sqrt (sin x)))) * [exit]simplify: Simplified to (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (fabs 1) (sqrt (sin x)))) * * * * [misc]progress: [ 161 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (- (* 1 1) (* (cos x) (cos x))))) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ 1 (sqrt 1))) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ 1 (sqrt 1))) * * * * [misc]progress: [ 162 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (* (cbrt (sin x)) (cbrt (sin x)))) * * * * [misc]progress: [ 163 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (sqrt (sin x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * [exit]simplify: Simplified to (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))))) * * * * [misc]progress: [ 164 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1)) * [exit]simplify: Simplified to (* (sqrt (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1)) * * * * [misc]progress: [ 165 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ 1 (* (cbrt (sin x)) (cbrt (sin x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) * * * * [misc]progress: [ 166 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ 1 (sqrt (sin x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sqrt (sin x))) * * * * [misc]progress: [ 167 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ 1 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 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: [ 168 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 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: [ 169 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ 1 (cos x))) * * * * [misc]progress: [ 170 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1)) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)) (cbrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1))) * [exit]simplify: Simplified to (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)) (cbrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1))) * * * * [misc]progress: [ 171 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1)) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)) (sqrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1))) * [exit]simplify: Simplified to (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)) (sqrt (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1))) * * * * [misc]progress: [ 172 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (/ (sin x) (+ 1 (cos x))) 1) * [exit]simplify: Simplified to (/ (/ (sin x) (+ 1 (cos x))) 1) * * * * [misc]progress: [ 173 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 1) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)) * * * * [misc]progress: [ 174 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (* (sin x) (sin x)) (+ 1 (cos x))) * * * * [misc]progress: [ 175 / 176 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (sin x) (+ 1 (cos x))) * [exit]simplify: Simplified to (/ (sin x) (+ 1 (cos x))) * * * * [misc]progress: [ 176 / 176 ] 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 -3.979550813088296e-22) #s(sp 1 x 0.802860764679358) #s(sp 2 x +inf.0)) , with alts (# # #) * [misc]splitpoints: intervals are: ((#f . #s(sp 0 x -3.979550813088296e-22))) * [misc]splitpoints: intervals are: ((#s(sp 0 x -3.979550813088296e-22) . #s(sp 1 x 0.802860764679358))) * [misc]splitpoints: intervals are: ((#s(sp 1 x 0.802860764679358) . #s(sp 2 x +inf.0))) * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) * * [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)))) 1) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin 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)))) (sin x)) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos 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)) * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * [enter]simplify: Simplifying (/ (sin x) (sqrt (- 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (- 1 (cos x)))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (- 1 (cos x)))) * [enter]simplify: Simplifying (/ 1 (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sin x)) * [exit]simplify: Simplified to (/ 1 (sin x)) * [enter]simplify: Simplifying (/ (cos x) (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * [enter]simplify: Simplifying (pow (sin x) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (sin x) 3) * [exit]simplify: Simplified to (pow (sin x) 3) * [enter]simplify: Simplifying (pow (+ (cos x) 1) 3) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (pow (+ (cos x) 1) 3) * [exit]simplify: Simplified to (pow (+ (cos x) 1) 3) * [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)) * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (cbrt (sin x))) * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (cos x))) (cbrt (- 1 (cos x)))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (cos x))) (cbrt (sin x))) (/ (cbrt (- 1 (cos x))) (cbrt (sin x)))) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 (cos x))) (cbrt (sin x))) (/ (cbrt (- 1 (cos x))) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (cos x))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (cbrt (- 1 (cos x))) (cbrt (sin x))) * [enter]simplify: Simplifying (+ (* 1/24 (pow x 3)) (+ (* 1/240 (pow x 5)) (* 1/2 x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (+ (* 1/2 x) (+ (* (* x 1/24) (* x x)) (* 1/240 (pow x 5)))) * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) * * [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)))) 1) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) 1) * [enter]simplify: Simplifying (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin 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)))) (sin x)) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sin x) (sin x)) (+ 1 (cos x)))) (sin x)) * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * [enter]simplify: Simplifying (sin x) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin x) * [exit]simplify: Simplified to (sin x) * [enter]simplify: Simplifying (/ (sin x) (sqrt (- 1 (cos x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sin x) (sqrt (- 1 (cos x)))) * [exit]simplify: Simplified to (/ (sin x) (sqrt (- 1 (cos x)))) * [enter]simplify: Simplifying (/ 1 (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sin x)) * [exit]simplify: Simplified to (/ 1 (sin x)) * [enter]simplify: Simplifying (/ (cos x) (sin x)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * [exit]simplify: Simplified to (/ (cos x) (sin x)) * [enter]simplify: Simplifying (/ (sin x) (+ 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)) * [enter]simplify: Simplifying (* (sin x) (+ 1 (cos x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (+ (sin x) (* (cos x) (sin x))) * [exit]simplify: Simplified to (+ (sin x) (* (cos x) (sin x))) * [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))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (* (cbrt (sin x)) (cbrt (sin x)))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (cos x))) (cbrt (sin x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (cbrt (sin x))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (cos x))) (cbrt (sin x))) * [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)))