* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [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 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos th) 1) into (cos th) * [misc]backup-simplify: Simplify (* (sin th) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos th) 0) into (cos th) * [misc]backup-simplify: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a1 a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (* a1 a1) into (pow a1 2) * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) (pow a1 2)) into (/ (pow a1 2) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* a1 0) (* 0 a1)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 (pow a1 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow a1 2)))) into (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of 1/2 in a1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (* 0 (pow a1 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) (pow a1 2)))))) into (* 1/24 (/ (pow a1 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (* 1/24 (/ (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of 1/24 in a1 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))))) into 0 * [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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (* 1/24 (/ 1 (sqrt 2))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (+ (* (* 1/24 (/ 1 (sqrt 2))) 0) (* 0 (pow a1 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) 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 (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a1 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a1 1) 2))) into (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]backup-simplify: Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2)) * [misc]backup-simplify: Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 (pow a1 2))) into (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 (/ 1 (pow a1 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (* 0 (/ 1 a1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a1)) 1) 2)) into (/ (* (cos th) (pow a1 2)) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in a1 * [misc]taylor: Taking taylor expansion of (- th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in a1 * [misc]taylor: Taking taylor expansion of (- a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in a1 * [misc]taylor: Taking taylor expansion of (- a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]backup-simplify: Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2)) * [misc]backup-simplify: Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 1 (pow a1 2))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ -1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ -1 th) in a1 * [misc]taylor: Taking taylor expansion of -1 in a1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (* 0 (/ -1 a1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (/ 1 (pow a1 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (* 0 (/ -1 a1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a1))) 1) 2)) into (/ (* (cos th) (pow a1 2)) (sqrt 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a2 a2)) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a2 a2)) in a2 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (cos th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos th) 1) into (cos th) * [misc]backup-simplify: Simplify (* (sin th) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos th) 0) into (cos th) * [misc]backup-simplify: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a2 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a2 a2)) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a2 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a2 a2)) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a2 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (* a2 a2) into (pow a2 2) * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) (pow a2 2)) into (/ (pow a2 2) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* a2 0) (* 0 a2)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 (pow a2 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow a2 2)))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) in a2 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of 1/2 in a2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (* 0 (pow a2 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) (pow a2 2)))))) into (* 1/24 (/ (pow a2 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (* 1/24 (/ (pow a2 2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of 1/24 in a2 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))))) into 0 * [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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (* 1/24 (/ 1 (sqrt 2))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (+ (* (* 1/24 (/ 1 (sqrt 2))) 0) (* 0 (pow a2 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) 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 (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a2 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a2 1) 2))) into (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) in a2 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]backup-simplify: Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2)) * [misc]backup-simplify: Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 (pow a2 2))) into (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 (/ 1 (pow a2 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [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 (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a2)) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in a2 * [misc]taylor: Taking taylor expansion of (- th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in a2 * [misc]taylor: Taking taylor expansion of (- a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in a2 * [misc]taylor: Taking taylor expansion of (- a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]backup-simplify: Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2)) * [misc]backup-simplify: Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 1 (pow a2 2))) into (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ -1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ -1 th) in a2 * [misc]taylor: Taking taylor expansion of -1 in a2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (/ 1 (pow a2 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [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 (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos th)) (log (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * * * * [misc]progress: [ 3 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 4 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 5 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * * * * [misc]progress: [ 6 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 7 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * * * * [misc]progress: [ 8 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 9 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos th)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos th)) * [exit]simplify: Simplified to (- (cos th)) * [enter]simplify: Simplifying (- (sqrt 2)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt 2)) * [exit]simplify: Simplified to (- (sqrt 2)) * * * * [misc]progress: [ 10 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 11 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 12 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) 1)) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) 1)) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 13 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 14 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 15 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) 1) * [exit]simplify: Simplified to (/ (sqrt (cos th)) 1) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 16 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * * * * [misc]progress: [ 17 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 18 / 122 ] 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 (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 19 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * * * * [misc]progress: [ 21 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 22 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 23 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 24 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) 1) * [exit]simplify: Simplified to (/ (cos th) 1) * * * * [misc]progress: [ 25 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * * * * [misc]progress: [ 26 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (sqrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * * * * [misc]progress: [ 27 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 28 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos th)) (log (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * * * * [misc]progress: [ 30 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 31 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 32 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * * * * [misc]progress: [ 33 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 34 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * * * * [misc]progress: [ 35 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 36 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos th)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos th)) * [exit]simplify: Simplified to (- (cos th)) * [enter]simplify: Simplifying (- (sqrt 2)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt 2)) * [exit]simplify: Simplified to (- (sqrt 2)) * * * * [misc]progress: [ 37 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 38 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 39 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) 1)) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) 1)) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 40 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 41 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 42 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) 1) * [exit]simplify: Simplified to (/ (sqrt (cos th)) 1) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 43 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * * * * [misc]progress: [ 44 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 45 / 122 ] 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 (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 46 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * * * * [misc]progress: [ 48 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 49 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 50 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 51 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) 1) * [exit]simplify: Simplified to (/ (cos th) 1) * * * * [misc]progress: [ 52 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * * * * [misc]progress: [ 53 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (sqrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * * * * [misc]progress: [ 54 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 55 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * * * [misc]progress: [ 56 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (* a1 a1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (+ (+ (log a1) (log a1)) (- (log (cos th)) (log (sqrt 2)))) * [exit]simplify: Simplified to (+ (+ (log a1) (log a1)) (- (log (cos th)) (log (sqrt 2)))) * * * * [misc]progress: [ 58 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 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 (38 enodes) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1))) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1))) * * * * [misc]progress: [ 59 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (log (/ (* a1 (cos th)) (/ (sqrt 2) a1))) * [exit]simplify: Simplified to (log (/ (* a1 (cos th)) (/ (sqrt 2) a1))) * * * * [misc]progress: [ 60 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * [exit]simplify: Simplified to (exp (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 61 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (* (* (/ (cos th) 2) (* (cos th) (cos th))) (/ (* (* a1 a1) (* a1 a1)) (/ (sqrt 2) (* a1 a1)))) * [exit]simplify: Simplified to (* (* (/ (cos th) 2) (* (cos th) (cos th))) (/ (* (* a1 a1) (* a1 a1)) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 62 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (* (* (* (* a1 a1) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (* (cos th) (* a1 a1)) (/ 2 (cos th)))) * [exit]simplify: Simplified to (* (* (* (* a1 a1) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (* (cos th) (* a1 a1)) (/ 2 (cos th)))) * * * * [misc]progress: [ 63 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) * [exit]simplify: Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) * [enter]simplify: Simplifying (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 64 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (pow (* (/ (cos th) (sqrt 2)) (* a1 a1)) 3) * [exit]simplify: Simplified to (pow (* (/ (cos th) (sqrt 2)) (* a1 a1)) 3) * * * * [misc]progress: [ 65 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 66 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) a1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) a1)) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) a1)) * * * * [misc]progress: [ 68 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1)) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * * * [misc]progress: [ 69 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1)) * [exit]simplify: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * * * [misc]progress: [ 70 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 71 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (sqrt (sqrt 2))) * * * * [misc]progress: [ 72 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cbrt (cos th))) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cbrt (cos th))) * * * * [misc]progress: [ 73 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 74 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (sqrt (sqrt 2))) * * * * [misc]progress: [ 75 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (sqrt (cos th))) * * * * [misc]progress: [ 76 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (cbrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 77 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 78 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * * * [misc]progress: [ 79 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * * * [misc]progress: [ 80 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (* a1 a1) (sqrt 2)) * [exit]simplify: Simplified to (/ (* a1 a1) (sqrt 2)) * * * * [misc]progress: [ 81 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (* a1 a1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* (* a1 a1) (cos th)) * [exit]simplify: Simplified to (* (* a1 a1) (cos th)) * * * * [misc]progress: [ 82 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a2 a2)) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a2 a2)) * * * * [misc]progress: [ 84 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (* a2 a2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (+ (+ (log a2) (log a2)) (- (log (cos th)) (log (sqrt 2)))) * [exit]simplify: Simplified to (+ (+ (log a2) (log a2)) (- (log (cos th)) (log (sqrt 2)))) * * * * [misc]progress: [ 86 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 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 (38 enodes) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) * * * * [misc]progress: [ 87 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (log (/ (* a2 (cos th)) (/ (sqrt 2) a2))) * [exit]simplify: Simplified to (log (/ (* a2 (cos th)) (/ (sqrt 2) a2))) * * * * [misc]progress: [ 88 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * [exit]simplify: Simplified to (exp (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * * * * [misc]progress: [ 89 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (* (* (/ (cos th) 2) (* (cos th) (cos th))) (/ (* (* a2 a2) (* a2 a2)) (/ (sqrt 2) (* a2 a2)))) * [exit]simplify: Simplified to (* (* (/ (cos th) 2) (* (cos th) (cos th))) (/ (* (* a2 a2) (* a2 a2)) (/ (sqrt 2) (* a2 a2)))) * * * * [misc]progress: [ 90 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (* (* (* (* a2 a2) (* a2 a2)) (/ (cos th) (sqrt 2))) (/ (* (cos th) (* a2 a2)) (/ 2 (cos th)))) * [exit]simplify: Simplified to (* (* (* (* a2 a2) (* a2 a2)) (/ (cos th) (sqrt 2))) (/ (* (cos th) (* a2 a2)) (/ 2 (cos th)))) * * * * [misc]progress: [ 91 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * [exit]simplify: Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * [enter]simplify: Simplifying (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * * * * [misc]progress: [ 92 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (pow (* (/ (cos th) (sqrt 2)) (* a2 a2)) 3) * [exit]simplify: Simplified to (pow (* (/ (cos th) (sqrt 2)) (* a2 a2)) 3) * * * * [misc]progress: [ 93 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * * * * [misc]progress: [ 94 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) a2) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) a2)) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) a2)) * * * * [misc]progress: [ 96 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a2 a2)) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a2 a2)) * * * * [misc]progress: [ 97 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2)) * [exit]simplify: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2)) * * * * [misc]progress: [ 98 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cbrt (cos th))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cbrt (cos th))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 99 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cbrt (cos th))) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cbrt (cos th))) (sqrt (sqrt 2))) * * * * [misc]progress: [ 100 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cbrt (cos th))) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cbrt (cos th))) * * * * [misc]progress: [ 101 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (sqrt (cos th))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (sqrt (cos th))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 102 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (sqrt (cos th))) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (sqrt (cos th))) (sqrt (sqrt 2))) * * * * [misc]progress: [ 103 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (sqrt (cos th))) * * * * [misc]progress: [ 104 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (cbrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 105 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 106 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a2 a2)) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a2 a2)) * * * * [misc]progress: [ 107 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a2 a2)) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a2 a2)) * * * * [misc]progress: [ 108 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (* a2 a2) (sqrt 2)) * [exit]simplify: Simplified to (/ (* a2 a2) (sqrt 2)) * * * * [misc]progress: [ 109 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (* a2 a2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* (* a2 a2) (cos th)) * [exit]simplify: Simplified to (* (* a2 a2) (cos th)) * * * * [misc]progress: [ 110 / 122 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a2 a2))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (156 enodes) * [exit]simplify: Simplified to (+ (* (* a2 a2) (- (* (/ (pow th 4) (sqrt 2)) 1/24) (* th (/ (* 1/2 th) (sqrt 2))))) (+ (/ (* a2 a2) (sqrt 2)) (/ (* a1 (cos th)) (/ (sqrt 2) a1)))) * * * * [misc]progress: [ 112 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 113 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 114 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (+ (+ (/ (* (cos th) a2) (/ (sqrt 2) a2)) (* a1 (/ a1 (sqrt 2)))) (* (* a1 a1) (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* (* 1/2 th) (/ th (sqrt 2)))))) * * * * [misc]progress: [ 115 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 116 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 117 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2)))) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (- (+ (/ (* a1 a1) (sqrt 2)) (* (* a2 a2) (/ (cos th) (sqrt 2)))) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2))) * * * * [misc]progress: [ 118 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 119 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (+ (* a1 a1) (* a2 a2)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 120 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (- (+ (/ (* a2 a2) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a1 a1))) (/ (* (* th a2) (* th a2)) (/ (sqrt 2) 1/2))) * * * * [misc]progress: [ 121 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (* (cos th) (pow a2 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 122 / 122 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (* (cos th) (pow a2 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (/ (* a2 a2) (sqrt 2)) in (a2) around 0 * [misc]taylor: Taking taylor expansion of (/ (* a2 a2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (* a2 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (* a2 a2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (* a2 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) (pow a2 2)) into (/ (pow a2 2) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (/ (* (/ 1 a2) (/ 1 a2)) (sqrt 2)) in (a2) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 a2) (/ 1 a2)) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 a2) (/ 1 a2)) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) (pow (/ 1 (/ 1 a2)) 2)) into (/ (pow a2 2) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (/ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqrt 2)) in (a2) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in a2 * [misc]taylor: Taking taylor expansion of (- a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in a2 * [misc]taylor: Taking taylor expansion of (- a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in a2 * [misc]taylor: Taking taylor expansion of (- a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in a2 * [misc]taylor: Taking taylor expansion of (- a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) (pow (/ 1 (/ 1 (- a2))) 2)) into (/ (pow a2 2) (sqrt 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos th) 1) into (cos th) * [misc]backup-simplify: Simplify (* (sin th) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos th) 0) into (cos th) * [misc]backup-simplify: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a1 a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (* a1 a1) into (pow a1 2) * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) (pow a1 2)) into (/ (pow a1 2) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* a1 0) (* 0 a1)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 (pow a1 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow a1 2)))) into (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of 1/2 in a1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (* 0 (pow a1 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) (pow a1 2)))))) into (* 1/24 (/ (pow a1 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (* 1/24 (/ (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of 1/24 in a1 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))))) into 0 * [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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (* 1/24 (/ 1 (sqrt 2))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (+ (* (* 1/24 (/ 1 (sqrt 2))) 0) (* 0 (pow a1 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) 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 (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a1 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a1 1) 2))) into (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]backup-simplify: Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2)) * [misc]backup-simplify: Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 (pow a1 2))) into (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 (/ 1 (pow a1 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (* 0 (/ 1 a1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a1)) 1) 2)) into (/ (* (cos th) (pow a1 2)) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in a1 * [misc]taylor: Taking taylor expansion of (- th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in a1 * [misc]taylor: Taking taylor expansion of (- a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in a1 * [misc]taylor: Taking taylor expansion of (- a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]backup-simplify: Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2)) * [misc]backup-simplify: Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 1 (pow a1 2))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ -1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ -1 th) in a1 * [misc]taylor: Taking taylor expansion of -1 in a1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (* 0 (/ -1 a1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (/ 1 (pow a1 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (* 0 (/ -1 a1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a1))) 1) 2)) into (/ (* (cos th) (pow a1 2)) (sqrt 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (cos th) (/ (* a2 a2) (sqrt 2))) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (cos th) (/ (* a2 a2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of (cos th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]taylor: Taking taylor expansion of (/ (* a2 a2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (* a2 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (cos th) (/ (* a2 a2) (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (* a2 a2) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (* a2 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* a2 a2) into (pow a2 2) * [misc]backup-simplify: Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (cos th) (/ (* a2 a2) (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (* a2 a2) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (* a2 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* a2 a2) into (pow a2 2) * [misc]backup-simplify: Simplify (/ (pow a2 2) (sqrt 2)) into (/ (pow a2 2) (sqrt 2)) * [misc]backup-simplify: Simplify (* 1 (/ (pow a2 2) (sqrt 2))) into (/ (pow a2 2) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* a2 0) (* 0 a2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ (pow a2 2) (sqrt 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (/ (pow a2 2) (sqrt 2))))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) in a2 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of 1/2 in a2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/2) 0) (* 0 (/ (pow a2 2) (sqrt 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a2 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a2 1) 2))) into (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (* (cos (/ 1 th)) (/ (* (/ 1 a2) (/ 1 a2)) (sqrt 2))) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 th)) (/ (* (/ 1 a2) (/ 1 a2)) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 a2) (/ 1 a2)) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 th)) (/ (* (/ 1 a2) (/ 1 a2)) (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 a2) (/ 1 a2)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2)) * [misc]backup-simplify: Simplify (/ (/ 1 (pow a2 2)) (sqrt 2)) into (/ 1 (* (pow a2 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 th)) (/ (* (/ 1 a2) (/ 1 a2)) (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 a2) (/ 1 a2)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2)) * [misc]backup-simplify: Simplify (/ (/ 1 (pow a2 2)) (sqrt 2)) into (/ 1 (* (pow a2 2) (sqrt 2))) * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) (/ 1 (* (pow a2 2) (sqrt 2)))) into (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 (/ 1 (* (pow a2 2) (sqrt 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (/ 1 (* (pow a2 2) (sqrt 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow a2 2) (sqrt 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow a2 2) (sqrt 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [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 (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a2)) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (* (cos (/ 1 (- th))) (/ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqrt 2))) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- th))) (/ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in a2 * [misc]taylor: Taking taylor expansion of (- th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in a2 * [misc]taylor: Taking taylor expansion of (- a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in a2 * [misc]taylor: Taking taylor expansion of (- a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- th))) (/ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2)) * [misc]backup-simplify: Simplify (/ (/ 1 (pow a2 2)) (sqrt 2)) into (/ 1 (* (pow a2 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- th))) (/ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- a2)) (/ 1 (- a2))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2)) * [misc]backup-simplify: Simplify (/ (/ 1 (pow a2 2)) (sqrt 2)) into (/ 1 (* (pow a2 2) (sqrt 2))) * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) (/ 1 (* (pow a2 2) (sqrt 2)))) into (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ -1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ -1 th) in a2 * [misc]taylor: Taking taylor expansion of -1 in a2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 (/ 1 (* (pow a2 2) (sqrt 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (/ 1 (* (pow a2 2) (sqrt 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow a2 2) (sqrt 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow a2 2) (sqrt 2)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [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 (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos th)) (log (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * * * * [misc]progress: [ 3 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 4 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 5 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * * * * [misc]progress: [ 6 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 7 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * * * * [misc]progress: [ 8 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 9 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos th)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos th)) * [exit]simplify: Simplified to (- (cos th)) * [enter]simplify: Simplifying (- (sqrt 2)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt 2)) * [exit]simplify: Simplified to (- (sqrt 2)) * * * * [misc]progress: [ 10 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 11 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 12 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) 1)) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) 1)) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 13 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 14 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 15 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) 1) * [exit]simplify: Simplified to (/ (sqrt (cos th)) 1) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 16 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * * * * [misc]progress: [ 17 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 18 / 110 ] 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 (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 19 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * * * * [misc]progress: [ 21 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 22 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 23 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 24 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) 1) * [exit]simplify: Simplified to (/ (cos th) 1) * * * * [misc]progress: [ 25 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * * * * [misc]progress: [ 26 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (sqrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * * * * [misc]progress: [ 27 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 28 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* a2 a2)) (log (sqrt 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- (+ (log a2) (log a2)) (log (sqrt 2))) * [exit]simplify: Simplified to (- (+ (log a2) (log a2)) (log (sqrt 2))) * * * * [misc]progress: [ 30 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* a2 a2) (sqrt 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log (/ (* a2 a2) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (* a2 a2) (sqrt 2))) * * * * [misc]progress: [ 31 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* a2 a2) (sqrt 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (exp (/ (* a2 a2) (sqrt 2))) * [exit]simplify: Simplified to (exp (/ (* a2 a2) (sqrt 2))) * * * * [misc]progress: [ 32 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* a2 a2) (* a2 a2)) (* a2 a2)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (275 enodes) * [exit]simplify: Simplified to (/ (* (pow a2 3) (pow a2 3)) (+ (sqrt 2) (sqrt 2))) * [exit]simplify: Simplified to (/ (* (pow a2 3) (pow a2 3)) (+ (sqrt 2) (sqrt 2))) * * * * [misc]progress: [ 33 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* a2 a2) (sqrt 2))) (cbrt (/ (* a2 a2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (* a2 a2) (sqrt 2))) (cbrt (/ (* a2 a2) (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (* a2 a2) (sqrt 2))) (cbrt (/ (* a2 a2) (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (* a2 a2) (sqrt 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (* a2 a2) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (* a2 a2) (sqrt 2))) * * * * [misc]progress: [ 34 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* a2 a2) (sqrt 2)) (/ (* a2 a2) (sqrt 2))) (/ (* a2 a2) (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (pow (/ (* a2 a2) (sqrt 2)) 3) * [exit]simplify: Simplified to (pow (/ (* a2 a2) (sqrt 2)) 3) * * * * [misc]progress: [ 35 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* a2 a2) (sqrt 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (* a2 a2) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (* a2 a2) (sqrt 2))) * [enter]simplify: Simplifying (sqrt (/ (* a2 a2) (sqrt 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (* a2 a2) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (* a2 a2) (sqrt 2))) * * * * [misc]progress: [ 36 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* a2 a2)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (- a2) a2) * [exit]simplify: Simplified to (* (- a2) a2) * [enter]simplify: Simplifying (- (sqrt 2)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt 2)) * [exit]simplify: Simplified to (- (sqrt 2)) * * * * [misc]progress: [ 37 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a2 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (/ a2 (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ a2 (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ a2 (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ a2 (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ a2 (cbrt (sqrt 2))) * * * * [misc]progress: [ 38 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a2 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ a2 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ a2 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ a2 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ a2 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ a2 (sqrt (sqrt 2))) * * * * [misc]progress: [ 39 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a2 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ a2 1) * [exit]simplify: Simplified to (/ a2 1) * [enter]simplify: Simplifying (/ a2 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ a2 (sqrt 2)) * [exit]simplify: Simplified to (/ a2 (sqrt 2)) * * * * [misc]progress: [ 40 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * * * * [misc]progress: [ 42 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (* a2 a2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (* a2 a2)) * [exit]simplify: Simplified to (/ (sqrt 2) (* a2 a2)) * * * * [misc]progress: [ 43 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a2 a2) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* (/ a2 (cbrt (sqrt 2))) (/ a2 (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ a2 (cbrt (sqrt 2))) (/ a2 (cbrt (sqrt 2)))) * * * * [misc]progress: [ 44 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a2 a2) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (/ (* a2 a2) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* a2 a2) (sqrt (sqrt 2))) * * * * [misc]progress: [ 45 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a2 a2) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* a2 (/ a2 1)) * [exit]simplify: Simplified to (* a2 (/ a2 1)) * * * * [misc]progress: [ 46 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) a2) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) a2) * [exit]simplify: Simplified to (/ (sqrt 2) a2) * * * * [misc]progress: [ 47 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * * * [misc]progress: [ 48 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (* a1 a1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (+ (+ (log a1) (log a1)) (- (log (cos th)) (log (sqrt 2)))) * [exit]simplify: Simplified to (+ (+ (log a1) (log a1)) (- (log (cos th)) (log (sqrt 2)))) * * * * [misc]progress: [ 50 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 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 (38 enodes) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1))) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1))) * * * * [misc]progress: [ 51 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (log (/ (* a1 (cos th)) (/ (sqrt 2) a1))) * [exit]simplify: Simplified to (log (/ (* a1 (cos th)) (/ (sqrt 2) a1))) * * * * [misc]progress: [ 52 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * [exit]simplify: Simplified to (exp (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 53 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (* (* (/ (cos th) 2) (* (cos th) (cos th))) (/ (* (* a1 a1) (* a1 a1)) (/ (sqrt 2) (* a1 a1)))) * [exit]simplify: Simplified to (* (* (/ (cos th) 2) (* (cos th) (cos th))) (/ (* (* a1 a1) (* a1 a1)) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 54 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (* (* (* (* a1 a1) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (* (cos th) (* a1 a1)) (/ 2 (cos th)))) * [exit]simplify: Simplified to (* (* (* (* a1 a1) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (* (cos th) (* a1 a1)) (/ 2 (cos th)))) * * * * [misc]progress: [ 55 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) * [exit]simplify: Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) * [enter]simplify: Simplifying (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 56 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (pow (* (/ (cos th) (sqrt 2)) (* a1 a1)) 3) * [exit]simplify: Simplified to (pow (* (/ (cos th) (sqrt 2)) (* a1 a1)) 3) * * * * [misc]progress: [ 57 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 58 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) a1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) a1)) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) a1)) * * * * [misc]progress: [ 60 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1)) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * * * [misc]progress: [ 61 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1)) * [exit]simplify: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * * * [misc]progress: [ 62 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 63 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (sqrt (sqrt 2))) * * * * [misc]progress: [ 64 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cbrt (cos th))) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cbrt (cos th))) * * * * [misc]progress: [ 65 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 66 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (sqrt (sqrt 2))) * * * * [misc]progress: [ 67 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (sqrt (cos th))) * * * * [misc]progress: [ 68 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (cbrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 69 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 70 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * * * [misc]progress: [ 71 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * * * [misc]progress: [ 72 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (* a1 a1) (sqrt 2)) * [exit]simplify: Simplified to (/ (* a1 a1) (sqrt 2)) * * * * [misc]progress: [ 73 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (* a1 a1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* (* a1 a1) (cos th)) * [exit]simplify: Simplified to (* (* a1 a1) (cos th)) * * * * [misc]progress: [ 74 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (/ (* a2 a2) (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (* a2 a2) (/ (sqrt 2) (cos th))) * [exit]simplify: Simplified to (/ (* a2 a2) (/ (sqrt 2) (cos th))) * * * * [misc]progress: [ 76 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cos th)) (- (log (* a2 a2)) (log (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (log (cos th)) (- (log (* a2 a2)) (log (sqrt 2)))) * [exit]simplify: Simplified to (+ (log (cos th)) (- (log (* a2 a2)) (log (sqrt 2)))) * * * * [misc]progress: [ 78 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cos th)) (log (/ (* a2 a2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (+ (log (/ (* a2 a2) (sqrt 2))) (log (cos th))) * [exit]simplify: Simplified to (+ (log (/ (* a2 a2) (sqrt 2))) (log (cos th))) * * * * [misc]progress: [ 79 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cos th) (/ (* a2 a2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (log (* (* a2 (cos th)) (/ a2 (sqrt 2)))) * [exit]simplify: Simplified to (log (* (* a2 (cos th)) (/ a2 (sqrt 2)))) * * * * [misc]progress: [ 80 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cos th) (/ (* a2 a2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (pow (exp (cos th)) (/ (* a2 a2) (sqrt 2))) * [exit]simplify: Simplified to (pow (exp (cos th)) (/ (* a2 a2) (sqrt 2))) * * * * [misc]progress: [ 81 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos th) (cos th)) (cos th)) (/ (* (* (* a2 a2) (* a2 a2)) (* a2 a2)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (405 enodes) * [exit]simplify: Simplified to (* (/ (* (* a2 a2) (* a2 a2)) (/ (sqrt 2) (* a2 a2))) (/ (* (cos th) (cos th)) (/ 2 (cos th)))) * [exit]simplify: Simplified to (* (/ (* (* a2 a2) (* a2 a2)) (/ (sqrt 2) (* a2 a2))) (/ (* (cos th) (cos th)) (/ 2 (cos th)))) * * * * [misc]progress: [ 82 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos th) (cos th)) (cos th)) (* (* (/ (* a2 a2) (sqrt 2)) (/ (* a2 a2) (sqrt 2))) (/ (* a2 a2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (477 enodes) * [exit]simplify: Simplified to (* (* (/ (* a2 a2) (sqrt 2)) (pow (cos th) 3)) (* a2 (/ (* a2 a2) (/ 2 a2)))) * [exit]simplify: Simplified to (* (* (/ (* a2 a2) (sqrt 2)) (pow (cos th) 3)) (* a2 (/ (* a2 a2) (/ 2 a2)))) * * * * [misc]progress: [ 83 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (cos th) (/ (* a2 a2) (sqrt 2)))) (cbrt (* (cos th) (/ (* a2 a2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (* a2 (cos th)) (/ (sqrt 2) a2))) (cbrt (/ (* a2 (cos th)) (/ (sqrt 2) a2)))) * [exit]simplify: Simplified to (* (cbrt (/ (* a2 (cos th)) (/ (sqrt 2) a2))) (cbrt (/ (* a2 (cos th)) (/ (sqrt 2) a2)))) * [enter]simplify: Simplifying (cbrt (* (cos th) (/ (* a2 a2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (cbrt (/ (* a2 (cos th)) (/ (sqrt 2) a2))) * [exit]simplify: Simplified to (cbrt (/ (* a2 (cos th)) (/ (sqrt 2) a2))) * * * * [misc]progress: [ 84 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos th) (/ (* a2 a2) (sqrt 2))) (* (cos th) (/ (* a2 a2) (sqrt 2)))) (* (cos th) (/ (* a2 a2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (286 enodes) * [exit]simplify: Simplified to (pow (/ (* (* a2 a2) (cos th)) (sqrt 2)) 3) * [exit]simplify: Simplified to (pow (/ (* (* a2 a2) (cos th)) (sqrt 2)) 3) * * * * [misc]progress: [ 85 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cos th) (/ (* a2 a2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (sqrt (/ (* a2 (cos th)) (/ (sqrt 2) a2))) * [exit]simplify: Simplified to (sqrt (/ (* a2 (cos th)) (/ (sqrt 2) a2))) * [enter]simplify: Simplifying (sqrt (* (cos th) (/ (* a2 a2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (sqrt (/ (* a2 (cos th)) (/ (sqrt 2) a2))) * [exit]simplify: Simplified to (sqrt (/ (* a2 (cos th)) (/ (sqrt 2) a2))) * * * * [misc]progress: [ 86 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (* (cbrt (/ (* a2 a2) (sqrt 2))) (cbrt (/ (* a2 a2) (sqrt 2))))) * * [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 (20 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (* a2 a2) (sqrt 2))) (cos th)) (cbrt (/ (* a2 a2) (sqrt 2)))) * [exit]simplify: Simplified to (* (* (cbrt (/ (* a2 a2) (sqrt 2))) (cos th)) (cbrt (/ (* a2 a2) (sqrt 2)))) * * * * [misc]progress: [ 88 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (sqrt (/ (* a2 a2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (* a2 a2) (sqrt 2))) (cos th)) * [exit]simplify: Simplified to (* (sqrt (/ (* a2 a2) (sqrt 2))) (cos th)) * * * * [misc]progress: [ 89 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (/ a2 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 90 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (/ a2 (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 91 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (/ a2 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (* (cos th) (/ a2 1)) * [exit]simplify: Simplified to (* (cos th) (/ a2 1)) * * * * [misc]progress: [ 92 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cos th) * [exit]simplify: Simplified to (cos th) * * * * [misc]progress: [ 93 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (* a2 a2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* (* a2 a2) (cos th)) * [exit]simplify: Simplified to (* (* a2 a2) (cos th)) * * * * [misc]progress: [ 94 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos th)) (/ (* a2 a2) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cbrt (cos th))) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cbrt (cos th))) * * * * [misc]progress: [ 95 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cos th)) (/ (* a2 a2) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (sqrt (cos th))) * * * * [misc]progress: [ 96 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (/ (* a2 a2) (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (* a2 a2) (/ (sqrt 2) (cos th))) * [exit]simplify: Simplified to (/ (* a2 a2) (/ (sqrt 2) (cos th))) * * * * [misc]progress: [ 97 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (* a2 a2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* (* a2 a2) (cos th)) * [exit]simplify: Simplified to (* (* a2 a2) (cos th)) * * * * [misc]progress: [ 98 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a1 a1)) (* (cos th) (/ (* a2 a2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (+ (* (- (/ 1/24 (/ (sqrt 2) (pow th 4))) (* 1/2 (/ (* th th) (sqrt 2)))) (* a1 a1)) (+ (* (/ a1 (sqrt 2)) a1) (* (/ (* a2 a2) (sqrt 2)) (cos th)))) * * * * [misc]progress: [ 100 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cos th) (/ (* a2 a2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (+ (* (/ (* a2 a2) (sqrt 2)) (cos th)) (/ (* (* a1 a1) (cos th)) (sqrt 2))) * * * * [misc]progress: [ 101 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cos th) (/ (* a2 a2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (+ (* (/ (* a2 a2) (sqrt 2)) (cos th)) (/ (* (* a1 a1) (cos th)) (sqrt 2))) * * * * [misc]progress: [ 102 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cos th) (/ (pow a2 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (+ (* (/ (* a2 a2) (sqrt 2)) (cos th)) (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * * * [misc]progress: [ 103 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cos th) (/ (pow a2 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (+ (* (/ (* a2 a2) (sqrt 2)) (cos th)) (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * * * [misc]progress: [ 104 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (cos th) (/ (pow a2 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (+ (* (/ (* a2 a2) (sqrt 2)) (cos th)) (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * * * [misc]progress: [ 105 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2)))) (* (cos th) (/ (* a2 a2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (- (+ (/ (* a1 a1) (sqrt 2)) (* (/ (* a2 a2) (sqrt 2)) (cos th))) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2))) * * * * [misc]progress: [ 106 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (* (cos th) (/ (* a2 a2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (+ (/ (* (* a2 a2) (cos th)) (sqrt 2)) (* (* a1 a1) (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 107 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (* (cos th) (/ (* a2 a2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (+ (/ (* (* a2 a2) (cos th)) (sqrt 2)) (* (* a1 a1) (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 108 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (- (+ (/ (* a2 a2) (sqrt 2)) (* (/ (cos th) (sqrt 2)) (* a1 a1))) (/ (* (* th a2) (* th a2)) (/ (sqrt 2) 1/2))) * * * * [misc]progress: [ 109 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (* (cos th) (pow a2 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 110 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (* (cos th) (pow a2 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (+ (* a2 a2) (* a1 a1)) (/ (cos th) (sqrt 2))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a2) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a2) in a2 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (cos th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos th) 1) into (cos th) * [misc]backup-simplify: Simplify (* (sin th) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos th) 0) into (cos th) * [misc]backup-simplify: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a2) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a2) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) a2) into (/ a2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ a2 (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 a2)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (sqrt 2)))) a2))) into (- (* 1/2 (/ a2 (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ a2 (sqrt 2)))) in a2 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ a2 (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of 1/2 in a2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ a2 (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (* 0 a2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) a2))))) into (* 1/24 (/ a2 (sqrt 2))) * [misc]taylor: Taking taylor expansion of (* 1/24 (/ a2 (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of 1/24 in a2 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (/ a2 (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (* a2 (pow th 2))) (* (/ 1 (sqrt 2)) (* a2 1))) into (- (/ a2 (sqrt 2)) (* 1/2 (/ (* a2 (pow th 2)) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a2)) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a2)) in a2 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a2)) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a2)) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]backup-simplify: Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a2)) into (/ (cos (/ 1 th)) (* a2 (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (* a2 (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (* a2 (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* 0 (sqrt 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt 2))) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 (/ 1 a2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [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 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (* (/ 1 (/ 1 a2)) 1)) into (/ (* (cos th) a2) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a2))) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a2))) in a2 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in a2 * [misc]taylor: Taking taylor expansion of (- th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in a2 * [misc]taylor: Taking taylor expansion of (- a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a2))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a2))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]backup-simplify: Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (/ -1 a2)) into (* -1 (/ (cos (/ -1 th)) (* a2 (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a2 (sqrt 2)))) in a2 * [misc]taylor: Taking taylor expansion of -1 in a2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (* a2 (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ -1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ -1 th) in a2 * [misc]taylor: Taking taylor expansion of -1 in a2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (* a2 (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* 0 (sqrt 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt 2))) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (* -1 (/ (cos (/ -1 th)) (sqrt 2))) into (* -1 (/ (cos (/ -1 th)) (sqrt 2))) * [misc]backup-simplify: Simplify (* -1 (/ (cos (/ -1 th)) (sqrt 2))) into (* -1 (/ (cos (/ -1 th)) (sqrt 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (/ -1 a2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [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 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2))) (* (/ 1 (/ 1 (- a2))) 1)) into (/ (* (cos th) a2) (sqrt 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos th) 1) into (cos th) * [misc]backup-simplify: Simplify (* (sin th) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos th) 0) into (cos th) * [misc]backup-simplify: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a1 a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (* a1 a1) into (pow a1 2) * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) (pow a1 2)) into (/ (pow a1 2) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* a1 0) (* 0 a1)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 (pow a1 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (* 0 a1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow a1 2)))) into (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2)))) in a1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of 1/2 in a1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (* 0 (pow a1 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) (pow a1 2)))))) into (* 1/24 (/ (pow a1 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (* 1/24 (/ (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of 1/24 in a1 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (/ (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a1)))))) into 0 * [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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (* 1/24 (/ 1 (sqrt 2))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (+ (* (* 1/24 (/ 1 (sqrt 2))) 0) (* 0 (pow a1 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) 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 (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a1 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a1 1) 2))) into (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a1) (/ 1 a1))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a1) (/ 1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]backup-simplify: Simplify (* (/ 1 a1) (/ 1 a1)) into (/ 1 (pow a1 2)) * [misc]backup-simplify: Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 (pow a1 2))) into (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (* 0 (/ 1 a1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 (/ 1 (pow a1 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (* 0 (/ 1 a1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a1)) 1) 2)) into (/ (* (cos th) (pow a1 2)) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in a1 * [misc]taylor: Taking taylor expansion of (- th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in a1 * [misc]taylor: Taking taylor expansion of (- a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in a1 * [misc]taylor: Taking taylor expansion of (- a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a1)) (/ 1 (- a1)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a1)) (/ 1 (- a1))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]backup-simplify: Simplify (* (/ -1 a1) (/ -1 a1)) into (/ 1 (pow a1 2)) * [misc]backup-simplify: Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 1 (pow a1 2))) into (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ -1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ -1 th) in a1 * [misc]taylor: Taking taylor expansion of -1 in a1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a1 2) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (pow a1 2) in a1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (* 0 (/ -1 a1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (/ 1 (pow a1 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (* 0 (/ -1 a1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a1 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a1))) 1) 2)) into (/ (* (cos th) (pow a1 2)) (sqrt 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos th)) (log (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * * * * [misc]progress: [ 3 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 4 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 5 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * * * * [misc]progress: [ 6 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 7 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * * * * [misc]progress: [ 8 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 9 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos th)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos th)) * [exit]simplify: Simplified to (- (cos th)) * [enter]simplify: Simplifying (- (sqrt 2)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt 2)) * [exit]simplify: Simplified to (- (sqrt 2)) * * * * [misc]progress: [ 10 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 11 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 12 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) 1)) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) 1)) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 13 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 14 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 15 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) 1) * [exit]simplify: Simplified to (/ (sqrt (cos th)) 1) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 16 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * * * * [misc]progress: [ 17 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 18 / 116 ] 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 (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 19 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * * * * [misc]progress: [ 21 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 22 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 23 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 24 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) 1) * [exit]simplify: Simplified to (/ (cos th) 1) * * * * [misc]progress: [ 25 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * * * * [misc]progress: [ 26 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (sqrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * * * * [misc]progress: [ 27 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 28 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos th)) (log (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * * * * [misc]progress: [ 30 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 31 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 32 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * * * * [misc]progress: [ 33 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 34 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * * * * [misc]progress: [ 35 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 36 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos th)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos th)) * [exit]simplify: Simplified to (- (cos th)) * [enter]simplify: Simplifying (- (sqrt 2)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt 2)) * [exit]simplify: Simplified to (- (sqrt 2)) * * * * [misc]progress: [ 37 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 38 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 39 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) 1)) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) 1)) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 40 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 41 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 42 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) 1) * [exit]simplify: Simplified to (/ (sqrt (cos th)) 1) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 43 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * * * * [misc]progress: [ 44 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 45 / 116 ] 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 (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 46 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * * * * [misc]progress: [ 48 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 49 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 50 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 51 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) 1) * [exit]simplify: Simplified to (/ (cos th) 1) * * * * [misc]progress: [ 52 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * * * * [misc]progress: [ 53 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (sqrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * * * * [misc]progress: [ 54 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 55 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (cos th) (sqrt 2)) a2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log (/ a2 (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (log (/ a2 (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 57 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (cos th) (sqrt 2)) a2)) * * [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 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (exp (* (/ a2 (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (exp (* (/ a2 (sqrt 2)) (cos th))) * * * * [misc]progress: [ 58 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (cos th) (sqrt 2)) a2)) (cbrt (* (/ (cos th) (sqrt 2)) a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (/ (sqrt 2) a2))) (cbrt (/ (cos th) (/ (sqrt 2) a2)))) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (/ (sqrt 2) a2))) (cbrt (/ (cos th) (/ (sqrt 2) a2)))) * [enter]simplify: Simplifying (cbrt (* (/ (cos th) (sqrt 2)) a2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (cbrt (* (/ a2 (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ a2 (sqrt 2)) (cos th))) * * * * [misc]progress: [ 59 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) a2) (* (/ (cos th) (sqrt 2)) a2)) (* (/ (cos th) (sqrt 2)) a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ (* (* a2 (cos th)) (* a2 (cos th))) (/ (* 2 (sqrt 2)) (* a2 (cos th)))) * [exit]simplify: Simplified to (/ (* (* a2 (cos th)) (* a2 (cos th))) (/ (* 2 (sqrt 2)) (* a2 (cos th)))) * * * * [misc]progress: [ 60 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) a2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (/ a2 (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (sqrt (* (/ a2 (sqrt 2)) (cos th))) * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) a2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (/ a2 (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (sqrt (* (/ a2 (sqrt 2)) (cos th))) * * * * [misc]progress: [ 61 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) a2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* a2 (cbrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* a2 (cbrt (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 63 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) a2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* a2 (sqrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* a2 (sqrt (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 64 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) a2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* a2 (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* a2 (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 65 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) a2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* a2 (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* a2 (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 66 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt 2)) a2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (/ a2 (sqrt 2)) (cbrt (cos th))) * [exit]simplify: Simplified to (* (/ a2 (sqrt 2)) (cbrt (cos th))) * * * * [misc]progress: [ 67 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) a2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* a2 (/ (sqrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* a2 (/ (sqrt (cos th)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 68 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* a2 (/ (sqrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* a2 (/ (sqrt (cos th)) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 69 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt 2)) a2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (/ a2 (sqrt 2)) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ a2 (sqrt 2)) (sqrt (cos th))) * * * * [misc]progress: [ 70 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (cbrt (sqrt 2))) a2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 71 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt (sqrt 2))) a2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* a2 (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 72 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) a2) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) a2)) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) a2)) * * * * [misc]progress: [ 73 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) a2) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) a2)) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) a2)) * * * * [misc]progress: [ 74 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt 2)) a2) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ a2 (sqrt 2)) * [exit]simplify: Simplified to (/ a2 (sqrt 2)) * * * * [misc]progress: [ 75 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) a2) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* a2 (cos th)) * [exit]simplify: Simplified to (* a2 (cos th)) * * * * [misc]progress: [ 76 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * * * [misc]progress: [ 78 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (* a1 a1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (+ (+ (log a1) (log a1)) (- (log (cos th)) (log (sqrt 2)))) * [exit]simplify: Simplified to (+ (+ (log a1) (log a1)) (- (log (cos th)) (log (sqrt 2)))) * * * * [misc]progress: [ 80 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 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 (38 enodes) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1))) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a1 a1))) * * * * [misc]progress: [ 81 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (log (/ (* a1 (cos th)) (/ (sqrt 2) a1))) * [exit]simplify: Simplified to (log (/ (* a1 (cos th)) (/ (sqrt 2) a1))) * * * * [misc]progress: [ 82 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * [exit]simplify: Simplified to (exp (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 83 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (* (* (/ (cos th) 2) (* (cos th) (cos th))) (/ (* (* a1 a1) (* a1 a1)) (/ (sqrt 2) (* a1 a1)))) * [exit]simplify: Simplified to (* (* (/ (cos th) 2) (* (cos th) (cos th))) (/ (* (* a1 a1) (* a1 a1)) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 84 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (* (* (* (* a1 a1) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (* (cos th) (* a1 a1)) (/ 2 (cos th)))) * [exit]simplify: Simplified to (* (* (* (* a1 a1) (* a1 a1)) (/ (cos th) (sqrt 2))) (/ (* (cos th) (* a1 a1)) (/ 2 (cos th)))) * * * * [misc]progress: [ 85 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) * [exit]simplify: Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1)))) * [enter]simplify: Simplifying (cbrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 86 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a1 a1))) (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (pow (* (/ (cos th) (sqrt 2)) (* a1 a1)) 3) * [exit]simplify: Simplified to (pow (* (/ (cos th) (sqrt 2)) (* a1 a1)) 3) * * * * [misc]progress: [ 87 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 88 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) a1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) a1)) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) a1)) * * * * [misc]progress: [ 90 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1)) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * * * [misc]progress: [ 91 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1)) * [exit]simplify: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a1 a1)) * * * * [misc]progress: [ 92 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 93 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cbrt (cos th))) (sqrt (sqrt 2))) * * * * [misc]progress: [ 94 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cbrt (cos th))) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (cbrt (cos th))) * * * * [misc]progress: [ 95 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 96 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (sqrt (cos th))) (sqrt (sqrt 2))) * * * * [misc]progress: [ 97 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (* a1 a1) (sqrt 2)) (sqrt (cos th))) * * * * [misc]progress: [ 98 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (cbrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 99 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt (sqrt 2))) (* a1 a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a1 a1) (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 100 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * * * [misc]progress: [ 101 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a1 a1)) * * * * [misc]progress: [ 102 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt 2)) (* a1 a1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (* a1 a1) (sqrt 2)) * [exit]simplify: Simplified to (/ (* a1 a1) (sqrt 2)) * * * * [misc]progress: [ 103 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (* a1 a1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* (* a1 a1) (cos th)) * [exit]simplify: Simplified to (* (* a1 a1) (cos th)) * * * * [misc]progress: [ 104 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) a2) a2)) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* a2 a2) (- (/ 1 (sqrt 2)) (- (/ th (/ (sqrt 2) (* 1/2 th))) (* (/ (pow th 4) (sqrt 2)) 1/24))))) * * * * [misc]progress: [ 106 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 107 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 108 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (+ (* (* a1 a1) (- (* (/ (pow th 4) (sqrt 2)) 1/24) (* 1/2 (/ (* th th) (sqrt 2))))) (+ (/ (* (cos th) a2) (/ (sqrt 2) a2)) (/ (* a1 a1) (sqrt 2)))) * * * * [misc]progress: [ 109 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 110 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (* (/ (cos th) (sqrt 2)) a2) a2)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 111 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (- (/ a2 (sqrt 2)) (* 1/2 (/ (* a2 (pow th 2)) (sqrt 2)))) a2)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* a2 (- (/ a2 (sqrt 2)) (/ (* th a2) (/ (sqrt 2) (* th 1/2)))))) * * * * [misc]progress: [ 112 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cos th) a2) (sqrt 2)) a2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) * * * * [misc]progress: [ 113 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (* (/ (* (cos th) a2) (sqrt 2)) a2)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a1 a1) (* a2 a2))) * * * * [misc]progress: [ 114 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (/ (pow a1 2) (sqrt 2)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2)))) (* (* (/ (cos th) (sqrt 2)) a2) a2)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (- (+ (/ (* a1 a1) (sqrt 2)) (/ (* a2 a2) (/ (sqrt 2) (cos th)))) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2))) * * * * [misc]progress: [ 115 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)) * * [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 (48 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 116 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ (* (cos th) (pow a1 2)) (sqrt 2)) (* (* (/ (cos th) (sqrt 2)) a2) a2)) * * [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 (48 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (cos th) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/24 (/ 1 (sqrt 2))) into (/ 1/24 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (/ 1/24 (sqrt 2)) (pow th 4)) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1 (sqrt 2)))) into (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) into (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a1) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a1) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos th) 1) into (cos th) * [misc]backup-simplify: Simplify (* (sin th) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos th) 0) into (cos th) * [misc]backup-simplify: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a1) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) a1) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) a1) into (/ a1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ a1 (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 a1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (sqrt 2)))) a1))) into (- (* 1/2 (/ a1 (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ a1 (sqrt 2)))) in a1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ a1 (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of 1/2 in a1 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ a1 (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (* 0 a1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) a1))))) into (* 1/24 (/ a1 (sqrt 2))) * [misc]taylor: Taking taylor expansion of (* 1/24 (/ a1 (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of 1/24 in a1 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (/ a1 (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) 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 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (* a1 (pow th 2))) (* (/ 1 (sqrt 2)) (* a1 1))) into (- (/ a1 (sqrt 2)) (* 1/2 (/ (* (pow th 2) a1) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a1)) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a1)) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a1)) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (/ 1 a1) into (/ 1 a1) * [misc]backup-simplify: Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 a1)) into (/ (cos (/ 1 th)) (* a1 (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (* a1 (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (* a1 (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* 0 (sqrt 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt 2))) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 (/ 1 a1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 a1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a1) (/ 0 a1)) (* 0 (/ 0 a1)) (* 0 (/ 0 a1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (* (/ 1 (/ 1 a1)) 1)) into (/ (* (cos th) a1) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a1))) in (th a1) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a1))) in a1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in a1 * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in a1 * [misc]taylor: Taking taylor expansion of (- th) in a1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in a1 * [misc]taylor: Taking taylor expansion of (- a1) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a1))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (/ 1 (- a1))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a1)) in th * [misc]taylor: Taking taylor expansion of (- a1) in th * [misc]taylor: Taking taylor expansion of a1 in th * [misc]backup-simplify: Simplify a1 into a1 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (/ 1 (- a1)) into (/ -1 a1) * [misc]backup-simplify: Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (/ -1 a1)) into (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* a1 (sqrt 2)))) in a1 * [misc]taylor: Taking taylor expansion of -1 in a1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (* a1 (sqrt 2))) in a1 * [misc]taylor: Taking taylor expansion of (cos (/ -1 th)) in a1 * [misc]taylor: Taking taylor expansion of (/ -1 th) in a1 * [misc]taylor: Taking taylor expansion of -1 in a1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in a1 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (* a1 (sqrt 2)) in a1 * [misc]taylor: Taking taylor expansion of a1 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a1 * [misc]taylor: Taking taylor expansion of 2 in a1 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* 0 (sqrt 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt 2))) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (* -1 (/ (cos (/ -1 th)) (sqrt 2))) into (* -1 (/ (cos (/ -1 th)) (sqrt 2))) * [misc]backup-simplify: Simplify (* -1 (/ (cos (/ -1 th)) (sqrt 2))) into (* -1 (/ (cos (/ -1 th)) (sqrt 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (/ -1 a1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ -1 a1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a1) into (- a1) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a1) (/ 0 (- a1))) (* 0 (/ 0 (- a1))) (* 0 (/ 0 (- a1))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a1 * [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 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 th)) (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2))) (* (/ 1 (/ 1 (- a1))) 1)) into (/ (* (cos th) a1) (sqrt 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a2 a2)) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a2 a2)) in a2 * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (cos th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (cos th) into (cos th) * [misc]backup-simplify: Simplify (sin th) into (sin th) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos th) 1) into (cos th) * [misc]backup-simplify: Simplify (* (sin th) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos th) 0) into (cos th) * [misc]backup-simplify: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a2 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a2 a2)) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a2 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]taylor: Taking taylor expansion of (* (/ (cos th) (sqrt 2)) (* a2 a2)) in th * [misc]taylor: Taking taylor expansion of (/ (cos th) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* a2 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (* a2 a2) into (pow a2 2) * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) (pow a2 2)) into (/ (pow a2 2) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* a2 0) (* 0 a2)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 (pow a2 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a2 0) (+ (* 0 0) (* 0 a2))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- 1/2) (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow a2 2)))) into (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) in a2 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of 1/2 in a2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (* 0 (pow a2 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2))))) 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 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 1/24 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into (* 1/24 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (* (* 1/24 (/ 1 (sqrt 2))) (pow a2 2)))))) into (* 1/24 (/ (pow a2 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (* 1/24 (/ (pow a2 2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of 1/24 in a2 * [misc]backup-simplify: Simplify 1/24 into 1/24 * [misc]taylor: Taking taylor expansion of (/ (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1/2 (sqrt 2))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt 2)))) into (- (* 1/2 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* a2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a2)))))) into 0 * [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 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (- (* 1/2 (/ 1 (sqrt 2)))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* (* 1/24 (/ 1 (sqrt 2))) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) 0) (+ (* 0 0) (+ (* (* 1/24 (/ 1 (sqrt 2))) 0) (* 0 (pow a2 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [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 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 (sqrt 2)))) 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 (+ (* (- (* 1/2 (/ 1 (sqrt 2)))) (pow (* a2 th) 2)) (* (/ 1 (sqrt 2)) (pow (* a2 1) 2))) into (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) in a2 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 th)) (sqrt 2)) (* (/ 1 a2) (/ 1 a2))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in th * [misc]taylor: Taking taylor expansion of (/ 1 th) in th * [misc]taylor: Taking taylor expansion of th in th * [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 th)) into (cos (/ 1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 a2) (/ 1 a2)) in th * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (/ 1 a2) into (/ 1 a2) * [misc]backup-simplify: Simplify (* (/ 1 a2) (/ 1 a2)) into (/ 1 (pow a2 2)) * [misc]backup-simplify: Simplify (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 1 (pow a2 2))) into (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ 1 th) into (/ 1 th) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (sin (/ 1 th)) into (sin (/ 1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* (sin (/ 1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ 1 th)) 0) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 th)) (sqrt 2)) into (/ (cos (/ 1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (* 0 (/ 1 a2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (* 0 (/ 1 (pow a2 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (* 0 (/ 1 a2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a2) (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)) (* 0 (/ 0 a2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ 1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [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 (* (/ (cos (/ 1 (/ 1 th))) (sqrt 2)) (pow (* (/ 1 (/ 1 a2)) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) * [misc]approximate: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) in a2 * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in a2 * [misc]taylor: Taking taylor expansion of (- th) in a2 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (- th) into (- th) * [misc]backup-simplify: Simplify (/ 1 (- th)) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in a2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in a2 * [misc]taylor: Taking taylor expansion of (- a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in a2 * [misc]taylor: Taking taylor expansion of (- a2) in a2 * [misc]taylor: Taking taylor expansion of a2 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]taylor: Taking taylor expansion of (* (/ (cos (/ 1 (- th))) (sqrt 2)) (* (/ 1 (- a2)) (/ 1 (- a2)))) in th * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- th))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (cos (/ 1 (- th))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- th)) in th * [misc]taylor: Taking taylor expansion of (- th) in th * [misc]taylor: Taking taylor expansion of th in th * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- th))) into (cos (/ -1 th)) * [misc]taylor: Taking taylor expansion of (sqrt 2) in th * [misc]taylor: Taking taylor expansion of 2 in th * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a2)) (/ 1 (- a2))) in th * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]taylor: Taking taylor expansion of (/ 1 (- a2)) in th * [misc]taylor: Taking taylor expansion of (- a2) in th * [misc]taylor: Taking taylor expansion of a2 in th * [misc]backup-simplify: Simplify a2 into a2 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (/ 1 (- a2)) into (/ -1 a2) * [misc]backup-simplify: Simplify (* (/ -1 a2) (/ -1 a2)) into (/ 1 (pow a2 2)) * [misc]backup-simplify: Simplify (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 1 (pow a2 2))) into (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2))) in a2 * [misc]taylor: Taking taylor expansion of (cos (/ -1 th)) in a2 * [misc]taylor: Taking taylor expansion of (/ -1 th) in a2 * [misc]taylor: Taking taylor expansion of -1 in a2 * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of th in a2 * [misc]backup-simplify: Simplify th into th * [misc]backup-simplify: Simplify (/ -1 th) into (/ -1 th) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (sin (/ -1 th)) into (sin (/ -1 th)) * [misc]taylor: Taking taylor expansion of (* (pow a2 2) (sqrt 2)) in a2 * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]taylor: Taking taylor expansion of (sqrt 2) in a2 * [misc]taylor: Taking taylor expansion of 2 in a2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* (sin (/ -1 th)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ -1 th)) 0) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (* 1 (sqrt 2)) into (sqrt 2) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 th)) (sqrt 2)) into (/ (cos (/ -1 th)) (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (* 0 (/ -1 a2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (* 0 (/ 1 (pow a2 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (* 0 (/ -1 a2)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 th) (+ (* (/ -1 th) (/ 0 th)) (* 0 (/ 0 th)) (* 0 (/ 0 th)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a2) into (- a2) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a2) (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))) (* 0 (/ 0 (- a2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a2)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ (cos (/ -1 th)) (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a2 * [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 (* (/ (cos (/ -1 (/ 1 (- th)))) (sqrt 2)) (pow (* (/ 1 (/ 1 (- a2))) 1) 2)) into (/ (* (cos th) (pow a2 2)) (sqrt 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos th)) (log (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * * * * [misc]progress: [ 3 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 4 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 5 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * * * * [misc]progress: [ 6 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 7 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * * * * [misc]progress: [ 8 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 9 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos th)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos th)) * [exit]simplify: Simplified to (- (cos th)) * [enter]simplify: Simplifying (- (sqrt 2)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt 2)) * [exit]simplify: Simplified to (- (sqrt 2)) * * * * [misc]progress: [ 10 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 11 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 12 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) 1)) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) 1)) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 13 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 14 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 15 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) 1) * [exit]simplify: Simplified to (/ (sqrt (cos th)) 1) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 16 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * * * * [misc]progress: [ 17 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 18 / 116 ] 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 (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 19 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * * * * [misc]progress: [ 21 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 22 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 23 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 24 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) 1) * [exit]simplify: Simplified to (/ (cos th) 1) * * * * [misc]progress: [ 25 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * * * * [misc]progress: [ 26 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (sqrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * * * * [misc]progress: [ 27 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 28 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos th)) (log (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * [exit]simplify: Simplified to (- (log (cos th)) (log (sqrt 2))) * * * * [misc]progress: [ 30 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 31 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (exp (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 32 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * * * * [misc]progress: [ 33 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (cbrt (/ (cos th) (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 34 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * [exit]simplify: Simplified to (pow (/ (cos th) (sqrt 2)) 3) * * * * [misc]progress: [ 35 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [enter]simplify: Simplifying (sqrt (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 36 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos th)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos th)) * [exit]simplify: Simplified to (- (cos th)) * [enter]simplify: Simplifying (- (sqrt 2)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sqrt 2)) * [exit]simplify: Simplified to (- (sqrt 2)) * * * * [misc]progress: [ 37 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 38 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 39 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) 1)) * [exit]simplify: Simplified to (* (cbrt (cos th)) (/ (cbrt (cos th)) 1)) * [enter]simplify: Simplifying (/ (cbrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (cbrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 40 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (sqrt (cos th)) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 41 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 42 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos th)) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) 1) * [exit]simplify: Simplified to (/ (sqrt (cos th)) 1) * [enter]simplify: Simplifying (/ (sqrt (cos th)) (sqrt 2)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (sqrt 2)) * * * * [misc]progress: [ 43 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (cbrt (sqrt 2))) * * * * [misc]progress: [ 44 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 45 / 116 ] 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 (/ (cos th) (sqrt 2)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 46 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * * * * [misc]progress: [ 48 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 49 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 50 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (sqrt 2))) * * * * [misc]progress: [ 51 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (cos th) 1) * [exit]simplify: Simplified to (/ (cos th) 1) * * * * [misc]progress: [ 52 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cbrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (cbrt (cos th))) * * * * [misc]progress: [ 53 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (sqrt (cos th))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * [exit]simplify: Simplified to (/ (sqrt 2) (sqrt (cos th))) * * * * [misc]progress: [ 54 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (cos th)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * [exit]simplify: Simplified to (/ (sqrt 2) (cos th)) * * * * [misc]progress: [ 55 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (cos th) (sqrt 2)) a1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log (/ a1 (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (log (/ a1 (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 57 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (cos th) (sqrt 2)) a1)) * * [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 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (exp (* (/ a1 (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (exp (* (/ a1 (sqrt 2)) (cos th))) * * * * [misc]progress: [ 58 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (cos th) (sqrt 2)) a1)) (cbrt (* (/ (cos th) (sqrt 2)) a1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (/ (sqrt 2) a1))) (cbrt (/ (cos th) (/ (sqrt 2) a1)))) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (/ (sqrt 2) a1))) (cbrt (/ (cos th) (/ (sqrt 2) a1)))) * [enter]simplify: Simplifying (cbrt (* (/ (cos th) (sqrt 2)) a1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (cbrt (* (/ a1 (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ a1 (sqrt 2)) (cos th))) * * * * [misc]progress: [ 59 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) a1) (* (/ (cos th) (sqrt 2)) a1)) (* (/ (cos th) (sqrt 2)) a1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ (* (* a1 (cos th)) (* a1 (cos th))) (/ (* 2 (sqrt 2)) (* a1 (cos th)))) * [exit]simplify: Simplified to (/ (* (* a1 (cos th)) (* a1 (cos th))) (/ (* 2 (sqrt 2)) (* a1 (cos th)))) * * * * [misc]progress: [ 60 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) a1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (/ a1 (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (sqrt (* (/ a1 (sqrt 2)) (cos th))) * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) a1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (/ a1 (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (sqrt (* (/ a1 (sqrt 2)) (cos th))) * * * * [misc]progress: [ 61 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) a1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* a1 (cbrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* a1 (cbrt (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 63 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) a1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* a1 (sqrt (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (* a1 (sqrt (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 64 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) a1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* a1 (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* a1 (/ (cbrt (cos th)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 65 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) a1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* a1 (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* a1 (/ (cbrt (cos th)) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 66 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt 2)) a1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (/ a1 (sqrt 2)) (cbrt (cos th))) * [exit]simplify: Simplified to (* (/ a1 (sqrt 2)) (cbrt (cos th))) * * * * [misc]progress: [ 67 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) a1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* a1 (/ (sqrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* a1 (/ (sqrt (cos th)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 68 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) a1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* a1 (/ (sqrt (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* a1 (/ (sqrt (cos th)) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 69 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt 2)) a1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (/ a1 (sqrt 2)) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ a1 (sqrt 2)) (sqrt (cos th))) * * * * [misc]progress: [ 70 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (cbrt (sqrt 2))) a1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (/ (* a1 (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* a1 (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 71 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt (sqrt 2))) a1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (/ (* a1 (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* a1 (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 72 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) a1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) a1)) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) a1)) * * * * [misc]progress: [ 73 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) a1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) a1)) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) a1)) * * * * [misc]progress: [ 74 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt 2)) a1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ a1 (sqrt 2)) * [exit]simplify: Simplified to (/ a1 (sqrt 2)) * * * * [misc]progress: [ 75 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) a1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* a1 (cos th)) * [exit]simplify: Simplified to (* a1 (cos th)) * * * * [misc]progress: [ 76 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a2 a2)) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a2 a2)) * * * * [misc]progress: [ 78 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (cos th)) (log (sqrt 2))) (log (* a2 a2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (+ (+ (log a2) (log a2)) (- (log (cos th)) (log (sqrt 2)))) * [exit]simplify: Simplified to (+ (+ (log a2) (log a2)) (- (log (cos th)) (log (sqrt 2)))) * * * * [misc]progress: [ 80 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 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 (38 enodes) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) * [exit]simplify: Simplified to (+ (log (/ (cos th) (sqrt 2))) (log (* a2 a2))) * * * * [misc]progress: [ 81 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (log (/ (* a2 (cos th)) (/ (sqrt 2) a2))) * [exit]simplify: Simplified to (log (/ (* a2 (cos th)) (/ (sqrt 2) a2))) * * * * [misc]progress: [ 82 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (exp (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * [exit]simplify: Simplified to (exp (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * * * * [misc]progress: [ 83 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (* (* (/ (cos th) 2) (* (cos th) (cos th))) (/ (* (* a2 a2) (* a2 a2)) (/ (sqrt 2) (* a2 a2)))) * [exit]simplify: Simplified to (* (* (/ (cos th) 2) (* (cos th) (cos th))) (/ (* (* a2 a2) (* a2 a2)) (/ (sqrt 2) (* a2 a2)))) * * * * [misc]progress: [ 84 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (/ (cos th) (sqrt 2))) (/ (cos th) (sqrt 2))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (* (* (* (* a2 a2) (* a2 a2)) (/ (cos th) (sqrt 2))) (/ (* (cos th) (* a2 a2)) (/ 2 (cos th)))) * [exit]simplify: Simplified to (* (* (* (* a2 a2) (* a2 a2)) (/ (cos th) (sqrt 2))) (/ (* (cos th) (* a2 a2)) (/ 2 (cos th)))) * * * * [misc]progress: [ 85 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * [exit]simplify: Simplified to (* (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2)))) * [enter]simplify: Simplifying (cbrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * * * * [misc]progress: [ 86 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cos th) (sqrt 2)) (* a2 a2)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (pow (* (/ (cos th) (sqrt 2)) (* a2 a2)) 3) * [exit]simplify: Simplified to (pow (* (/ (cos th) (sqrt 2)) (* a2 a2)) 3) * * * * [misc]progress: [ 87 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * [enter]simplify: Simplifying (sqrt (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * [exit]simplify: Simplified to (sqrt (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * * * * [misc]progress: [ 88 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) a2) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) a2)) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt 2) a2)) * * * * [misc]progress: [ 90 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cos th) (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a2 a2)) * [exit]simplify: Simplified to (* (cbrt (/ (cos th) (sqrt 2))) (* a2 a2)) * * * * [misc]progress: [ 91 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2)) * [exit]simplify: Simplified to (* (sqrt (/ (cos th) (sqrt 2))) (* a2 a2)) * * * * [misc]progress: [ 92 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (cbrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cbrt (cos th))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cbrt (cos th))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 93 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cbrt (cos th))) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cbrt (cos th))) (sqrt (sqrt 2))) * * * * [misc]progress: [ 94 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (cos th)) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cbrt (cos th))) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (cbrt (cos th))) * * * * [misc]progress: [ 95 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (sqrt (cos th))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (sqrt (cos th))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 96 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (sqrt (cos th))) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (sqrt (cos th))) (sqrt (sqrt 2))) * * * * [misc]progress: [ 97 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (cos th)) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (* a2 a2) (sqrt 2)) (sqrt (cos th))) * * * * [misc]progress: [ 98 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (cbrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cos th)) (cbrt (sqrt 2))) * * * * [misc]progress: [ 99 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt (sqrt 2))) (* a2 a2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (* a2 a2) (cos th)) (sqrt (sqrt 2))) * * * * [misc]progress: [ 100 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a2 a2)) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a2 a2)) * * * * [misc]progress: [ 101 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cos th) (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a2 a2)) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (* a2 a2)) * * * * [misc]progress: [ 102 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (sqrt 2)) (* a2 a2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (* a2 a2) (sqrt 2)) * [exit]simplify: Simplified to (/ (* a2 a2) (sqrt 2)) * * * * [misc]progress: [ 103 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (* a2 a2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (* (* a2 a2) (cos th)) * [exit]simplify: Simplified to (* (* a2 a2) (cos th)) * * * * [misc]progress: [ 104 / 116 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) (* a2 a2))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (+ (* (* a2 a2) (- (* (/ (pow th 4) (sqrt 2)) 1/24) (/ (* th th) (/ (sqrt 2) 1/2)))) (+ (/ (* a2 a2) (sqrt 2)) (/ (* a1 (cos th)) (/ (sqrt 2) a1)))) * * * * [misc]progress: [ 106 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 107 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 108 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (- (+ (/ 1 (sqrt 2)) (* 1/24 (/ (pow th 4) (sqrt 2)))) (* 1/2 (/ (pow th 2) (sqrt 2)))) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (+ (* (- (/ (pow th 4) (/ (sqrt 2) 1/24)) (* 1/2 (/ (* th th) (sqrt 2)))) (* a1 a1)) (+ (* a1 (/ a1 (sqrt 2))) (/ (cos th) (/ (sqrt 2) (* a2 a2))))) * * * * [misc]progress: [ 109 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 110 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 111 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (/ a1 (sqrt 2)) (* 1/2 (/ (* (pow th 2) a1) (sqrt 2)))) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (+ (/ (* (* a2 a2) (cos th)) (sqrt 2)) (* a1 (- (/ a1 (sqrt 2)) (/ (* 1/2 (* th th)) (/ (sqrt 2) a1))))) * * * * [misc]progress: [ 112 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (* (cos th) a1) (sqrt 2)) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 113 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (* (cos th) a1) (sqrt 2)) a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 114 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (- (/ (pow a2 2) (sqrt 2)) (* 1/2 (/ (* (pow a2 2) (pow th 2)) (sqrt 2))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (- (+ (/ (* a2 a2) (sqrt 2)) (/ (* a1 a1) (/ (sqrt 2) (cos th)))) (/ (* (* th a2) (* th a2)) (/ (sqrt 2) 1/2))) * * * * [misc]progress: [ 115 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (/ (* (cos th) (pow a2 2)) (sqrt 2))) * * [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 (48 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * * [misc]progress: [ 116 / 116 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (/ (cos th) (sqrt 2)) a1) a1) (/ (* (cos th) (pow a2 2)) (sqrt 2))) * * [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 (48 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (+ (* a2 a2) (* a1 a1))) * * * [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 (/ (cos th) (sqrt 2)) +inf.0)) , with alts (#) * [enter]simplify: Simplifying (* a2 a2) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* a2 a2) * [exit]simplify: Simplified to (* a2 a2) * [enter]simplify: Simplifying (sqrt 2) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 2) * [exit]simplify: Simplified to (sqrt 2)