* [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 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2))) * * [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 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [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 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: [ 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 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 2 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 3 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 130 ] 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: [ 5 / 130 ] 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: [ 6 / 130 ] 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: [ 7 / 130 ] 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: [ 8 / 130 ] 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: [ 9 / 130 ] 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: [ 10 / 130 ] 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: [ 11 / 130 ] 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: [ 12 / 130 ] 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: [ 13 / 130 ] 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: [ 14 / 130 ] 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: [ 15 / 130 ] 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: [ 16 / 130 ] 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: [ 17 / 130 ] 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: [ 18 / 130 ] 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: [ 19 / 130 ] 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: [ 20 / 130 ] 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: [ 21 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 130 ] 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: [ 23 / 130 ] 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: [ 24 / 130 ] 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: [ 25 / 130 ] 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: [ 26 / 130 ] 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: [ 27 / 130 ] 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: [ 28 / 130 ] 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: [ 29 / 130 ] 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: [ 30 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 31 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 32 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 130 ] 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: [ 34 / 130 ] 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: [ 35 / 130 ] 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: [ 36 / 130 ] 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: [ 37 / 130 ] 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: [ 38 / 130 ] 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: [ 39 / 130 ] 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: [ 40 / 130 ] 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: [ 41 / 130 ] 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: [ 42 / 130 ] 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: [ 43 / 130 ] 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: [ 44 / 130 ] 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: [ 45 / 130 ] 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: [ 46 / 130 ] 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: [ 47 / 130 ] 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: [ 48 / 130 ] 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: [ 49 / 130 ] 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: [ 50 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 130 ] 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: [ 52 / 130 ] 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: [ 53 / 130 ] 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: [ 54 / 130 ] 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: [ 55 / 130 ] 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: [ 56 / 130 ] 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: [ 57 / 130 ] 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: [ 58 / 130 ] 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: [ 59 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ (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 (expm1 (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * [exit]simplify: Simplified to (expm1 (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * * * * [misc]progress: [ 60 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ (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 (log1p (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * [exit]simplify: Simplified to (log1p (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * * * * [misc]progress: [ 61 / 130 ] 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: [ 62 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 130 ] 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 (31 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (- (fma (log a2) 2 (log (cos th))) (log (sqrt 2))) * [exit]simplify: Simplified to (- (fma (log a2) 2 (log (cos th))) (log (sqrt 2))) * * * * [misc]progress: [ 64 / 130 ] 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 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (fma (log a2) 2 (log (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (fma (log a2) 2 (log (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 65 / 130 ] 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 (70 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (log (* (/ (* a2 a2) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (log (* (/ (* a2 a2) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 66 / 130 ] 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: [ 67 / 130 ] 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: [ 68 / 130 ] 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: [ 69 / 130 ] 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: [ 70 / 130 ] 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: [ 71 / 130 ] 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: [ 72 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 130 ] 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 / 130 ] 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: [ 75 / 130 ] 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: [ 76 / 130 ] 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: [ 77 / 130 ] 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: [ 78 / 130 ] 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: [ 79 / 130 ] 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: [ 80 / 130 ] 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: [ 81 / 130 ] 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: [ 82 / 130 ] 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: [ 83 / 130 ] 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: [ 84 / 130 ] 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: [ 85 / 130 ] 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: [ 86 / 130 ] 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: [ 87 / 130 ] 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: [ 88 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ (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 (expm1 (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * [exit]simplify: Simplified to (expm1 (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 90 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ (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 (log1p (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * [exit]simplify: Simplified to (log1p (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 91 / 130 ] 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: [ 92 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 130 ] 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 (31 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (- (fma (log a1) 2 (log (cos th))) (log (sqrt 2))) * [exit]simplify: Simplified to (- (fma (log a1) 2 (log (cos th))) (log (sqrt 2))) * * * * [misc]progress: [ 94 / 130 ] 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 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (fma (log a1) 2 (log (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (fma (log a1) 2 (log (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 95 / 130 ] 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 (70 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (log (* (/ (* a1 a1) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (log (* (/ (* a1 a1) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 96 / 130 ] 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: [ 97 / 130 ] 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: [ 98 / 130 ] 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: [ 99 / 130 ] 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: [ 100 / 130 ] 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: [ 101 / 130 ] 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: [ 102 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 130 ] 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: [ 104 / 130 ] 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: [ 105 / 130 ] 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: [ 106 / 130 ] 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: [ 107 / 130 ] 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: [ 108 / 130 ] 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: [ 109 / 130 ] 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: [ 110 / 130 ] 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: [ 111 / 130 ] 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: [ 112 / 130 ] 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: [ 113 / 130 ] 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: [ 114 / 130 ] 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: [ 115 / 130 ] 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: [ 116 / 130 ] 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: [ 117 / 130 ] 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: [ 118 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 130 ] 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 (71 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (fma (- (fma (/ (pow th 4) (sqrt 2)) 1/24 (/ 1 (sqrt 2))) (/ (* th th) (/ (sqrt 2) 1/2))) (* a2 a2) (* (/ (cos th) (sqrt 2)) (* a1 a1))) * * * * [misc]progress: [ 120 / 130 ] 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 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2))) * * * * [misc]progress: [ 121 / 130 ] 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 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2))) * * * * [misc]progress: [ 122 / 130 ] 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 (71 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (221 enodes) * [exit]simplify: Simplified to (fma (- (fma (/ (pow th 4) (sqrt 2)) 1/24 (/ 1 (sqrt 2))) (* 1/2 (/ (* th th) (sqrt 2)))) (* a1 a1) (* (* a2 a2) (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 123 / 130 ] 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 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2))) * * * * [misc]progress: [ 124 / 130 ] 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 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2))) * * * * [misc]progress: [ 125 / 130 ] 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 (60 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (- (fma (* a1 a1) (/ (cos th) (sqrt 2)) (/ (* a2 a2) (sqrt 2))) (/ (* (* th a2) (* th a2)) (/ (sqrt 2) 1/2))) * * * * [misc]progress: [ 126 / 130 ] 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 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 127 / 130 ] 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 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 128 / 130 ] 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 (59 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (- (fma (* a2 a2) (/ (cos th) (sqrt 2)) (/ (* a1 a1) (sqrt 2))) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2))) * * * * [misc]progress: [ 129 / 130 ] 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 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a2 a2 (* a1 a1))) * * * * [misc]progress: [ 130 / 130 ] 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 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a2 a2 (* a1 a1))) * * * [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) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [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) * [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) (* a2 a2)) 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) 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 (* (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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (cos th) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos th) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin 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 (+ (* (cos th) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos th) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin 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 (+ (* (cos th) 1) (+ (* 0 0) (* 0 0))) into (cos th) * [misc]backup-simplify: Simplify (/ (cos th) (sqrt 2)) into (/ (cos th) (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (* (cos th) (* a2 a2)) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (* (cos th) (* a2 a2)) 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) 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 (* 1 (pow a2 2)) 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) (* a2 a2)) 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) 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 (* 1 (pow a2 2)) 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 (/ (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) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow a2 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (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 (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (pow a2 2)))) into (- (* 1/2 (pow a2 2))) * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (pow a2 2))) (sqrt 2)) (+ (* (/ (pow a2 2) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (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 (* -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))))) 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))) (* (- (* 1/2 (/ (pow a2 2) (sqrt 2)))) (/ 0 (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)) (* (/ 1 a2) (/ 1 a2))) 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)) 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 (* (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 1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ 1 th)) 1) 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 (/ (* (cos (/ 1 th)) (* (/ 1 a2) (/ 1 a2))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 th)) (* (/ 1 a2) (/ 1 a2))) 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)) 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 (* (cos (/ 1 th)) (/ 1 (pow a2 2))) into (/ (cos (/ 1 th)) (pow a2 2)) * [misc]backup-simplify: Simplify (/ (/ (cos (/ 1 th)) (pow a2 2)) (sqrt 2)) into (/ (cos (/ 1 th)) (* (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)) (* (/ 1 a2) (/ 1 a2))) 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)) 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 (* (cos (/ 1 th)) (/ 1 (pow a2 2))) into (/ (cos (/ 1 th)) (pow a2 2)) * [misc]backup-simplify: Simplify (/ (/ (cos (/ 1 th)) (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 (+ (* (cos (/ 1 th)) 0) (* 0 (/ 1 (pow a2 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ 1 th)) (* (pow a2 2) (sqrt 2))) (/ 0 (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 (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))) 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)) (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (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 (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2)))))) 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)) (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (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 (+ (* (cos (/ 1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))))) 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)) (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (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))) (* (/ 1 (- a2)) (/ 1 (- a2)))) 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))) 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 (* (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 -1) into 1 * [misc]backup-simplify: Simplify (* (cos (/ -1 th)) 1) 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 (/ (* (cos (/ 1 (- th))) (* (/ 1 (- a2)) (/ 1 (- a2)))) (sqrt 2)) in th * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- th))) (* (/ 1 (- a2)) (/ 1 (- a2)))) 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))) 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 (* (cos (/ -1 th)) (/ 1 (pow a2 2))) into (/ (cos (/ -1 th)) (pow a2 2)) * [misc]backup-simplify: Simplify (/ (/ (cos (/ -1 th)) (pow a2 2)) (sqrt 2)) into (/ (cos (/ -1 th)) (* (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))) (* (/ 1 (- a2)) (/ 1 (- a2)))) 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))) 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 (* (cos (/ -1 th)) (/ 1 (pow a2 2))) into (/ (cos (/ -1 th)) (pow a2 2)) * [misc]backup-simplify: Simplify (/ (/ (cos (/ -1 th)) (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 (+ (* (cos (/ -1 th)) 0) (* 0 (/ 1 (pow a2 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (cos (/ -1 th)) (* (pow a2 2) (sqrt 2))) (/ 0 (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 (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))) 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)) (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (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 (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2)))))) 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)) (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (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 (+ (* (cos (/ -1 th)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow a2 2))))))) 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)) (* (pow a2 2) (sqrt 2))) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (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: [ 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 1) * [misc]approximate: Taking taylor expansion of (* (cos th) (* a2 a2)) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (cos th) (* a2 a2)) 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) 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) (* a2 a2)) 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) 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) (* a2 a2)) 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) 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 (pow a2 2)) into (pow a2 2) * [misc]taylor: Taking taylor expansion of (pow a2 2) in a2 * [misc]backup-simplify: Simplify (+ (* a2 0) (* 0 a2)) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 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 (+ (* 1 0) (+ (* 0 0) (* (- 1/2) (pow a2 2)))) into (- (* 1/2 (pow a2 2))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (pow a2 2))) in a2 * [misc]taylor: Taking taylor expansion of (* 1/2 (pow a2 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) in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/2) 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 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 (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/2) 0) (+ (* 0 0) (* 1/24 (pow a2 2)))))) into (* 1/24 (pow a2 2)) * [misc]taylor: Taking taylor expansion of (* 1/24 (pow a2 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) in a2 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* (- 1/2) 0) (+ (* 0 0) (+ (* 1/24 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 (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (* a2 th) 2)) (* 1 (pow (* a2 1) 2))) into (- (pow a2 2) (* 1/2 (* (pow a2 2) (pow th 2)))) * [misc]approximate: Taking taylor expansion of (* (cos (/ 1 th)) (* (/ 1 a2) (/ 1 a2))) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 th)) (* (/ 1 a2) (/ 1 a2))) 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)) 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)) (* (/ 1 a2) (/ 1 a2))) 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)) 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)) (* (/ 1 a2) (/ 1 a2))) 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)) 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)) (/ 1 (pow a2 2))) into (/ (cos (/ 1 th)) (pow a2 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 th)) (pow a2 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) in a2 * [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)) 1) into (cos (/ 1 th)) * [misc]backup-simplify: Simplify (cos (/ 1 th)) into (cos (/ 1 th)) * [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 (+ (* (cos (/ 1 th)) 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 (- (/ 0 1) (+ (* (cos (/ 1 th)) (/ 0 1)))) 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 (+ (* (cos (/ 1 th)) 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 1) (+ (* (cos (/ 1 th)) (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* (cos (/ 1 th)) 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 1) (+ (* (cos (/ 1 th)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (+ (* (cos (/ 1 th)) 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))) (pow (* (/ 1 (/ 1 a2)) 1) 2)) into (* (cos th) (pow a2 2)) * [misc]approximate: Taking taylor expansion of (* (cos (/ 1 (- th))) (* (/ 1 (- a2)) (/ 1 (- a2)))) in (th a2) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- th))) (* (/ 1 (- a2)) (/ 1 (- a2)))) 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))) 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))) (* (/ 1 (- a2)) (/ 1 (- a2)))) 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))) 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))) (* (/ 1 (- a2)) (/ 1 (- a2)))) 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))) 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)) (/ 1 (pow a2 2))) into (/ (cos (/ -1 th)) (pow a2 2)) * [misc]taylor: Taking taylor expansion of (/ (cos (/ -1 th)) (pow a2 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) in a2 * [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)) 1) into (cos (/ -1 th)) * [misc]backup-simplify: Simplify (cos (/ -1 th)) into (cos (/ -1 th)) * [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 (+ (* (cos (/ -1 th)) 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 (- (/ 0 1) (+ (* (cos (/ -1 th)) (/ 0 1)))) 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 (+ (* (cos (/ -1 th)) 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 1) (+ (* (cos (/ -1 th)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* (cos (/ -1 th)) 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 1) (+ (* (cos (/ -1 th)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (+ (* (cos (/ -1 th)) 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)))) (pow (* (/ 1 (/ 1 (- a2))) 1) 2)) into (* (cos th) (pow a2 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 2 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 3 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 111 ] 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: [ 5 / 111 ] 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: [ 6 / 111 ] 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: [ 7 / 111 ] 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: [ 8 / 111 ] 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: [ 9 / 111 ] 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: [ 10 / 111 ] 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: [ 11 / 111 ] 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: [ 12 / 111 ] 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: [ 13 / 111 ] 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: [ 14 / 111 ] 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: [ 15 / 111 ] 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: [ 16 / 111 ] 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: [ 17 / 111 ] 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: [ 18 / 111 ] 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: [ 19 / 111 ] 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: [ 20 / 111 ] 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: [ 21 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 111 ] 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: [ 23 / 111 ] 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: [ 24 / 111 ] 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: [ 25 / 111 ] 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: [ 26 / 111 ] 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: [ 27 / 111 ] 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: [ 28 / 111 ] 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: [ 29 / 111 ] 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: [ 30 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (* (cos th) (* a2 a2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (expm1 (/ (* a2 (cos th)) (/ (sqrt 2) a2))) * [exit]simplify: Simplified to (expm1 (/ (* a2 (cos th)) (/ (sqrt 2) a2))) * * * * [misc]progress: [ 31 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (* (cos th) (* a2 a2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (log1p (/ (* a2 (cos th)) (/ (sqrt 2) a2))) * [exit]simplify: Simplified to (log1p (/ (* a2 (cos th)) (/ (sqrt 2) a2))) * * * * [misc]progress: [ 32 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 111 ] 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 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (- (fma 2 (log a2) (log (cos th))) (log (sqrt 2))) * [exit]simplify: Simplified to (- (fma 2 (log a2) (log (cos th))) (log (sqrt 2))) * * * * [misc]progress: [ 34 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (cos th) (* a2 a2))) (log (sqrt 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (- (log (* (* a2 a2) (cos th))) (log (sqrt 2))) * [exit]simplify: Simplified to (- (log (* (* a2 a2) (cos th))) (log (sqrt 2))) * * * * [misc]progress: [ 35 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (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 (27 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (log (* (/ (cos th) (sqrt 2)) (* a2 a2))) * [exit]simplify: Simplified to (log (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * * * [misc]progress: [ 36 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* (cos th) (* a2 a2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (exp (/ (* a2 a2) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (exp (/ (* a2 a2) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 37 / 111 ] 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 (27 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (495 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: [ 38 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (cos th) (* a2 a2)) (* (cos th) (* a2 a2))) (* (cos th) (* a2 a2))) (* (* (sqrt 2) (sqrt 2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) (/ 2 (cos th))) (/ (* (* a2 a2) (* a2 a2)) (/ (sqrt 2) (* a2 a2)))) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) (/ 2 (cos th))) (/ (* (* a2 a2) (* a2 a2)) (/ (sqrt 2) (* a2 a2)))) * * * * [misc]progress: [ 39 / 111 ] 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 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (35 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 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (34 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: [ 40 / 111 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (pow (/ (* a2 (cos th)) (/ (sqrt 2) a2)) 3) * [exit]simplify: Simplified to (pow (/ (* a2 (cos th)) (/ (sqrt 2) a2)) 3) * * * * [misc]progress: [ 41 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cos th) (* a2 a2)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (34 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 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (34 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: [ 42 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cos th) (* a2 a2))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (* a2 (cos th)) (- a2)) * [exit]simplify: Simplified to (* (* a2 (cos th)) (- 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: [ 43 / 111 ] 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)))) * [enter]simplify: Simplifying (/ (* a2 a2) (cbrt (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) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* a2 a2) (cbrt (sqrt 2))) * * * * [misc]progress: [ 44 / 111 ] 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))) * [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 / 111 ] 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) * [enter]simplify: Simplifying (/ (* a2 a2) (sqrt 2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (/ (* a2 a2) (sqrt 2)) * [exit]simplify: Simplified to (/ (* a2 a2) (sqrt 2)) * * * * [misc]progress: [ 46 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 111 ] 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 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 2) (* (cos th) (* a2 a2))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 2) a2) (* (cos th) a2)) * [exit]simplify: Simplified to (/ (/ (sqrt 2) a2) (* (cos th) a2)) * * * * [misc]progress: [ 49 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos th) (* a2 a2)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (/ a2 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (* a2 (cos th)))) * [exit]simplify: Simplified to (/ (/ a2 (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (* a2 (cos th)))) * * * * [misc]progress: [ 50 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos th) (* a2 a2)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (34 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: [ 51 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos th) (* a2 a2)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ a2 (/ (/ 1 a2) (cos th))) * [exit]simplify: Simplified to (/ a2 (/ (/ 1 a2) (cos th))) * * * * [misc]progress: [ 52 / 111 ] 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: [ 53 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ (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 (expm1 (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * [exit]simplify: Simplified to (expm1 (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 54 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ (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 (log1p (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * [exit]simplify: Simplified to (log1p (/ (cos th) (/ (sqrt 2) (* a1 a1)))) * * * * [misc]progress: [ 55 / 111 ] 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 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 111 ] 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 (31 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (- (fma (log a1) 2 (log (cos th))) (log (sqrt 2))) * [exit]simplify: Simplified to (- (fma (log a1) 2 (log (cos th))) (log (sqrt 2))) * * * * [misc]progress: [ 58 / 111 ] 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 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (fma (log a1) 2 (log (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (fma (log a1) 2 (log (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 59 / 111 ] 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 (70 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (log (* (/ (* a1 a1) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (log (* (/ (* a1 a1) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 60 / 111 ] 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 / 111 ] 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 / 111 ] 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 / 111 ] 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 / 111 ] 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 / 111 ] 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 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 111 ] 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 / 111 ] 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 / 111 ] 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 / 111 ] 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 / 111 ] 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 / 111 ] 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 / 111 ] 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 / 111 ] 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 / 111 ] 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 / 111 ] 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 / 111 ] 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 / 111 ] 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 / 111 ] 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 / 111 ] 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 / 111 ] 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 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (cos th) (* a2 a2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (expm1 (* (* a2 a2) (cos th))) * [exit]simplify: Simplified to (expm1 (* (* a2 a2) (cos th))) * * * * [misc]progress: [ 84 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (cos th) (* a2 a2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (log1p (* (* a2 a2) (cos th))) * [exit]simplify: Simplified to (log1p (* (* a2 a2) (cos th))) * * * * [misc]progress: [ 85 / 111 ] 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: [ 86 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cos th)) (log (* a2 a2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (fma 2 (log a2) (log (cos th))) * [exit]simplify: Simplified to (fma 2 (log a2) (log (cos th))) * * * * [misc]progress: [ 88 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cos th) (* a2 a2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log (* (* a2 a2) (cos th))) * [exit]simplify: Simplified to (log (* (* a2 a2) (cos th))) * * * * [misc]progress: [ 89 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cos th) (* a2 a2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (exp (* (* a2 a2) (cos th))) * [exit]simplify: Simplified to (exp (* (* a2 a2) (cos th))) * * * * [misc]progress: [ 90 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos th) (cos th)) (cos th)) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (* (pow (cos th) 3) (pow (* a2 a2) 3)) * [exit]simplify: Simplified to (* (pow (cos th) 3) (pow (* a2 a2) 3)) * * * * [misc]progress: [ 91 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (cos th) (* a2 a2))) (cbrt (* (cos th) (* a2 a2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* a2 a2) (cos th))) (cbrt (* (* a2 a2) (cos th)))) * [exit]simplify: Simplified to (* (cbrt (* (* a2 a2) (cos th))) (cbrt (* (* a2 a2) (cos th)))) * [enter]simplify: Simplifying (cbrt (* (cos th) (* a2 a2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (* a2 a2) (cos th))) * [exit]simplify: Simplified to (cbrt (* (* a2 a2) (cos th))) * * * * [misc]progress: [ 92 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cos th) (* a2 a2)) (* (cos th) (* a2 a2))) (* (cos th) (* a2 a2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (pow (* (* a2 a2) (cos th)) 3) * [exit]simplify: Simplified to (pow (* (* a2 a2) (cos th)) 3) * * * * [misc]progress: [ 93 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cos th) (* a2 a2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (* (* a2 a2) (cos th))) * [exit]simplify: Simplified to (sqrt (* (* a2 a2) (cos th))) * [enter]simplify: Simplifying (sqrt (* (cos th) (* a2 a2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (* (* a2 a2) (cos th))) * [exit]simplify: Simplified to (sqrt (* (* a2 a2) (cos th))) * * * * [misc]progress: [ 94 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 111 ] 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: [ 96 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos th)) (* a2 a2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (cos th)) (* a2 a2)) * [exit]simplify: Simplified to (* (cbrt (cos th)) (* a2 a2)) * * * * [misc]progress: [ 97 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cos th)) (* a2 a2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (cos th)) (* a2 a2)) * [exit]simplify: Simplified to (* (sqrt (cos th)) (* a2 a2)) * * * * [misc]progress: [ 98 / 111 ] 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: [ 99 / 111 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 111 ] 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 (43 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (fma (* a1 a1) (- (/ (* (pow th 4) 1/24) (sqrt 2)) (* 1/2 (/ (* th th) (sqrt 2)))) (fma (/ (cos th) (sqrt 2)) (* a2 a2) (/ (* a1 a1) (sqrt 2)))) * * * * [misc]progress: [ 101 / 111 ] 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 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2))) * * * * [misc]progress: [ 102 / 111 ] 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 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2))) * * * * [misc]progress: [ 103 / 111 ] 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 (60 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (- (fma (* a1 a1) (/ (cos th) (sqrt 2)) (/ (* a2 a2) (sqrt 2))) (/ (* (* th a2) (* th a2)) (/ (sqrt 2) 1/2))) * * * * [misc]progress: [ 104 / 111 ] 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 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 105 / 111 ] 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 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 106 / 111 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (fma (/ a1 (sqrt 2)) a1 (- (/ (* a2 (cos th)) (/ (sqrt 2) a2)) (/ (* (* a1 th) (* a1 th)) (/ (sqrt 2) 1/2)))) * * * * [misc]progress: [ 107 / 111 ] 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 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a2 a2 (* a1 a1))) * * * * [misc]progress: [ 108 / 111 ] 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 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a2 a2 (* a1 a1))) * * * * [misc]progress: [ 109 / 111 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (/ (cos th) (sqrt 2)) (* a1 a1)) (/ (- (pow a2 2) (* 1/2 (* (pow a2 2) (pow th 2)))) (sqrt 2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (- (fma (/ (cos th) (sqrt 2)) (* a1 a1) (/ (* a2 a2) (sqrt 2))) (* (/ 1/2 (sqrt 2)) (* (* th a2) (* th a2)))) * * * * [misc]progress: [ 110 / 111 ] 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 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 111 / 111 ] 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 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (fma a1 a1 (* a2 a2)) (/ (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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [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 (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos th) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos th)))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos th))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos th)) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (sqrt 2) (sqrt 2)) in 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]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 (+ (sqrt 2) (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos th) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos th)))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos th))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos th)) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (sqrt 2) (sqrt 2)) in 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]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 (+ (sqrt 2) (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -3/2 1) 1)))) into -3/2 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ -3/2 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into (- (* 3/4 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (- (* 3/4 (/ 1 (sqrt 2)))) into (- (* 3/4 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/2)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* (- (* 3/4 (/ 1 (sqrt 2)))) (/ 0 (* 2 (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1/2)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1/2)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 1)))) 24) into -1/12 * [misc]backup-simplify: Simplify (+ (* 3 -1/12) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))))) into -1/4 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -3/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 7/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 7/8 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* (- (* 3/4 (/ 1 (sqrt 2)))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into (* 7/16 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (* 7/16 (/ 1 (sqrt 2))) into (/ 7/16 (sqrt 2)) * [misc]backup-simplify: Simplify (+ (* (/ 7/16 (sqrt 2)) (pow th 4)) (+ (* (- (* 3/4 (/ 1 (sqrt 2)))) (pow th 2)) (/ 1/2 (sqrt 2)))) into (- (+ (* 1/2 (/ 1 (sqrt 2))) (* 7/16 (/ (pow th 4) (sqrt 2)))) (* 3/4 (/ (pow th 2) (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (/ (pow (cos (/ 1 th)) 3) (+ (sqrt 2) (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (/ 1 th)) 3) (+ (sqrt 2) (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 th))) 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]backup-simplify: Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3) * [misc]taylor: Taking taylor expansion of (+ (sqrt 2) (sqrt 2)) in 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]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 (+ (sqrt 2) (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (pow (cos (/ 1 th)) 3) (+ (sqrt 2) (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 th))) 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]backup-simplify: Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3) * [misc]taylor: Taking taylor expansion of (+ (sqrt 2) (sqrt 2)) in 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]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 (+ (sqrt 2) (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) into (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1 th)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (/ 1 th))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1 th)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 th)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1 th)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1 th)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1 th)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1 th)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ (pow (cos (/ 1 (/ 1 th))) 3) (sqrt 2))) into (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) * [misc]approximate: Taking taylor expansion of (/ (pow (cos (/ 1 (- th))) 3) (+ (sqrt 2) (sqrt 2))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (/ (pow (cos (/ 1 (- th))) 3) (+ (sqrt 2) (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 (- th)))) 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]backup-simplify: Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3) * [misc]taylor: Taking taylor expansion of (+ (sqrt 2) (sqrt 2)) in 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]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 (+ (sqrt 2) (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ -1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ (pow (cos (/ 1 (- th))) 3) (+ (sqrt 2) (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 (- th)))) 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]backup-simplify: Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3) * [misc]taylor: Taking taylor expansion of (+ (sqrt 2) (sqrt 2)) in 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]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 (+ (sqrt 2) (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ -1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) into (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1 th)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (/ -1 th))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1 th)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 th)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1 th)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1 th)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1 th)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1 th)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ (pow (cos (/ -1 (/ 1 (- th)))) 3) (sqrt 2))) into (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (pow (cos th) 3) in (th) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos th) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos th)))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos th))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos th)) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (pow (cos th) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos th)))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos th))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos th)) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -3/2 1) 1)))) into -3/2 * [misc]backup-simplify: Simplify -3/2 into -3/2 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/2)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1/2)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1/2)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 1)))) 24) into -1/12 * [misc]backup-simplify: Simplify (+ (* 3 -1/12) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))))) into -1/4 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -3/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 7/8 * [misc]backup-simplify: Simplify 7/8 into 7/8 * [misc]backup-simplify: Simplify (+ (* 7/8 (pow th 4)) (+ (* -3/2 (pow th 2)) 1)) into (- (+ 1 (* 7/8 (pow th 4))) (* 3/2 (pow th 2))) * [misc]approximate: Taking taylor expansion of (pow (cos (/ 1 th)) 3) in (th) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 th))) 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]backup-simplify: Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 th))) 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]backup-simplify: Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3) * [misc]backup-simplify: Simplify (pow (cos (/ 1 th)) 3) into (pow (cos (/ 1 th)) 3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1 th)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (/ 1 th))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1 th)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 th)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1 th)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1 th)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1 th)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1 th)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (/ 1 (/ 1 th))) 3) into (pow (cos th) 3) * [misc]approximate: Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in (th) around 0 * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 (- th)))) 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]backup-simplify: Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3) * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 (- th)))) 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]backup-simplify: Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3) * [misc]backup-simplify: Simplify (pow (cos (/ -1 th)) 3) into (pow (cos (/ -1 th)) 3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1 th)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (/ -1 th))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1 th)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 th)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1 th)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1 th)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1 th)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1 th)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (cos (/ -1 (/ 1 (- th)))) 3) into (pow (cos th) 3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) in th * [misc]taylor: Rewrote expression to (pow (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))))) in th * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of 1/3 in th * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos th) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos th)))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos th))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos th)) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (sqrt 2) (sqrt 2)) in 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]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 (+ (sqrt 2) (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) in th * [misc]taylor: Rewrote expression to (pow (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))))) in th * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of 1/3 in th * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos th) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos th)))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos th))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos th)) 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (- 1/2)) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 3 -1/2) (+ (* 0 0) (* 0 0))) into -3/2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (+ (sqrt 2) (sqrt 2)) in 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]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 (+ (sqrt 2) (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 2))) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (log (/ 1/2 (sqrt 2))) into (log (/ 1/2 (sqrt 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ 1/2 (sqrt 2)))) into (* 1/3 (log (/ 1/2 (sqrt 2)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) into (pow (/ 1/2 (sqrt 2)) 1/3) * [misc]backup-simplify: Simplify (pow (/ 1/2 (sqrt 2)) 1/3) into (pow (/ 1/2 (sqrt 2)) 1/3) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ 1/2 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -3/2 1) 1)))) into -3/2 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ -3/2 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into (- (* 3/4 (/ 1 (sqrt 2)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 3/4 (/ 1 (sqrt 2))))) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 2) into -3/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -3/2) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2)))))) into -1/2 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/2 1) 1)))) into (* -1/2 (pow (/ 1/2 (sqrt 2)) 1/3)) * [misc]backup-simplify: Simplify (* -1/2 (pow (/ 1/2 (sqrt 2)) 1/3)) into (* -1/2 (pow (/ 1/2 (sqrt 2)) 1/3)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- 1/2)) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* (- (* 3/4 (/ 1 (sqrt 2)))) (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1/2 (sqrt 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 3/4 (/ 1 (sqrt 2))))) 1)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/2 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- 1/2)) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 (- 1/2)) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/24) 1)) (pow 1 1)))) 24) into -1/12 * [misc]backup-simplify: Simplify (+ (* 3 -1/12) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))))) into -1/4 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -3/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -3/2 2) 2)) (* (/ (pow -1/4 1) 1)))) into 7/8 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 7/8 (* 2 (sqrt 2))) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* (- (* 3/4 (/ 1 (sqrt 2)))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into (* 7/16 (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (/ 1/2 (sqrt 2)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 3/4 (/ 1 (sqrt 2))))) 1)) (pow (/ 1/2 (sqrt 2)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 3/4 (/ 1 (sqrt 2))))) 2)) (pow (/ 1/2 (sqrt 2)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (/ 1/2 (sqrt 2)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 7/16 (/ 1 (sqrt 2)))) 1)) (pow (/ 1/2 (sqrt 2)) 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/4) (+ (* 0 0) (+ (* 0 -3/2) (+ (* 0 0) (* 0 (log (/ 1/2 (sqrt 2)))))))) into -1/12 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ 1/2 (sqrt 2))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/2 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/2 2) 2)) (* (/ (pow -1/12 1) 1)))) into (* 1/24 (pow (/ 1/2 (sqrt 2)) 1/3)) * [misc]backup-simplify: Simplify (* 1/24 (pow (/ 1/2 (sqrt 2)) 1/3)) into (* 1/24 (pow (/ 1/2 (sqrt 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (pow (/ 1/2 (sqrt 2)) 1/3)) (pow th 4)) (+ (* (* -1/2 (pow (/ 1/2 (sqrt 2)) 1/3)) (pow th 2)) (pow (/ 1/2 (sqrt 2)) 1/3))) into (- (+ (* 1/24 (* (pow th 4) (pow (/ 1/2 (sqrt 2)) 1/3))) (pow (/ 1/2 (sqrt 2)) 1/3)) (* 1/2 (* (pow th 2) (pow (/ 1/2 (sqrt 2)) 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 th)) 3) (+ (sqrt 2) (sqrt 2)))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 th)) 3) (+ (sqrt 2) (sqrt 2)))) in th * [misc]taylor: Rewrote expression to (pow (/ (pow (cos (/ 1 th)) 3) (+ (sqrt 2) (sqrt 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (+ (sqrt 2) (sqrt 2)))))) in th * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (+ (sqrt 2) (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of 1/3 in th * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (/ 1 th)) 3) (+ (sqrt 2) (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (pow (cos (/ 1 th)) 3) (+ (sqrt 2) (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 th))) 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]backup-simplify: Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3) * [misc]taylor: Taking taylor expansion of (+ (sqrt 2) (sqrt 2)) in 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]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 (+ (sqrt 2) (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 th)) 3) (+ (sqrt 2) (sqrt 2)))) in th * [misc]taylor: Rewrote expression to (pow (/ (pow (cos (/ 1 th)) 3) (+ (sqrt 2) (sqrt 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (+ (sqrt 2) (sqrt 2)))))) in th * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 th)) 3) (+ (sqrt 2) (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of 1/3 in th * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (/ 1 th)) 3) (+ (sqrt 2) (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (pow (cos (/ 1 th)) 3) (+ (sqrt 2) (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 th)) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 th))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 th)))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 th))) 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]backup-simplify: Simplify (log (cos (/ 1 th))) into (log (cos (/ 1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ 1 th)))) into (* 3 (log (cos (/ 1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ 1 th))))) into (pow (cos (/ 1 th)) 3) * [misc]taylor: Taking taylor expansion of (+ (sqrt 2) (sqrt 2)) in 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]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 (+ (sqrt 2) (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ 1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3) * [misc]backup-simplify: Simplify (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3) into (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1 th)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (/ 1 th))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1 th)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 th)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1 th)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1 th)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1 th)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1 th)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1 th)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1 th)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1 th)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1 th)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1 th)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1 th)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ 1 th))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ 1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (* 1/2 (/ (pow (cos (/ 1 (/ 1 th))) 3) (sqrt 2))) 1/3) into (pow (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 (- th))) 3) (+ (sqrt 2) (sqrt 2)))) in (th) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 (- th))) 3) (+ (sqrt 2) (sqrt 2)))) in th * [misc]taylor: Rewrote expression to (pow (/ (pow (cos (/ 1 (- th))) 3) (+ (sqrt 2) (sqrt 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (+ (sqrt 2) (sqrt 2)))))) in th * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (+ (sqrt 2) (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of 1/3 in th * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (/ 1 (- th))) 3) (+ (sqrt 2) (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (pow (cos (/ 1 (- th))) 3) (+ (sqrt 2) (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 (- th)))) 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]backup-simplify: Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3) * [misc]taylor: Taking taylor expansion of (+ (sqrt 2) (sqrt 2)) in 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]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 (+ (sqrt 2) (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ -1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (pow (cos (/ 1 (- th))) 3) (+ (sqrt 2) (sqrt 2)))) in th * [misc]taylor: Rewrote expression to (pow (/ (pow (cos (/ 1 (- th))) 3) (+ (sqrt 2) (sqrt 2))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (+ (sqrt 2) (sqrt 2)))))) in th * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (pow (cos (/ 1 (- th))) 3) (+ (sqrt 2) (sqrt 2))))) in th * [misc]taylor: Taking taylor expansion of 1/3 in th * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (pow (cos (/ 1 (- th))) 3) (+ (sqrt 2) (sqrt 2)))) in th * [misc]taylor: Taking taylor expansion of (/ (pow (cos (/ 1 (- th))) 3) (+ (sqrt 2) (sqrt 2))) in th * [misc]taylor: Taking taylor expansion of (pow (cos (/ 1 (- th))) 3) in th * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (cos (/ 1 (- th)))))) in th * [misc]taylor: Taking taylor expansion of (* 3 (log (cos (/ 1 (- th))))) in th * [misc]taylor: Taking taylor expansion of 3 in th * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (cos (/ 1 (- th)))) 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]backup-simplify: Simplify (log (cos (/ -1 th))) into (log (cos (/ -1 th))) * [misc]backup-simplify: Simplify (* 3 (log (cos (/ -1 th)))) into (* 3 (log (cos (/ -1 th)))) * [misc]backup-simplify: Simplify (exp (* 3 (log (cos (/ -1 th))))) into (pow (cos (/ -1 th)) 3) * [misc]taylor: Taking taylor expansion of (+ (sqrt 2) (sqrt 2)) in 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]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 (+ (sqrt 2) (sqrt 2)) into (* 2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (pow (cos (/ -1 th)) 3) (* 2 (sqrt 2))) into (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) * [misc]backup-simplify: Simplify (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))) into (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))) into (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) into (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3) * [misc]backup-simplify: Simplify (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3) into (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1 th)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log (cos (/ -1 th))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1 th)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1 th)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 th)) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1 th)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1 th)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1 th)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1 th)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1 th)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1 th)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1 th)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1 th)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1 th)) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1 th)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (cos (/ -1 th))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqrt 2))) (+ (* (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))) (* 0 (/ 0 (* 2 (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (/ (pow (cos (/ -1 th)) 3) (sqrt 2)))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (* 1/2 (/ (pow (cos (/ -1 (/ 1 (- th)))) 3) (sqrt 2))) 1/3) into (pow (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) 1/3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 2 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 3 / 384 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 384 ] 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: [ 5 / 384 ] 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: [ 6 / 384 ] 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: [ 7 / 384 ] 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: [ 8 / 384 ] 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: [ 9 / 384 ] 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: [ 10 / 384 ] 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: [ 11 / 384 ] 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: [ 12 / 384 ] 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: [ 13 / 384 ] 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: [ 14 / 384 ] 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: [ 15 / 384 ] 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: [ 16 / 384 ] 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: [ 17 / 384 ] 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: [ 18 / 384 ] 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: [ 19 / 384 ] 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: [ 20 / 384 ] 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: [ 21 / 384 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 384 ] 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: [ 23 / 384 ] 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: [ 24 / 384 ] 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: [ 25 / 384 ] 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: [ 26 / 384 ] 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: [ 27 / 384 ] 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: [ 28 / 384 ] 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: [ 29 / 384 ] 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: [ 30 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (expm1 (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (expm1 (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 31 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (log1p (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (log1p (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 32 / 384 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (cos th)) 3) (log (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (- (* (log (cos th)) 3) (log (* (sqrt 2) 2))) * [exit]simplify: Simplified to (- (* (log (cos th)) 3) (log (* (sqrt 2) 2))) * * * * [misc]progress: [ 34 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (cos th)) 3) (log (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (- (* (log (cos th)) 3) (log (* (sqrt 2) 2))) * [exit]simplify: Simplified to (- (* (log (cos th)) 3) (log (* (sqrt 2) 2))) * * * * [misc]progress: [ 35 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (pow (cos th) 3)) (log (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (- (* 3 (log (cos th))) (log (* (sqrt 2) 2))) * [exit]simplify: Simplified to (- (* 3 (log (cos th))) (log (* (sqrt 2) 2))) * * * * [misc]progress: [ 36 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (- (* 3 (log (cos th))) (log (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (- (* 3 (log (cos th))) (log (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 37 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (exp (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (exp (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 38 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (pow (cos th) 3) (pow (cos th) 3)) (pow (cos th) 3)) (* (* (+ (sqrt 2) (sqrt 2)) (+ (sqrt 2) (sqrt 2))) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * [exit]simplify: Simplified to (pow (/ (pow (cos th) 3) (* (sqrt 2) 2)) 3) * [exit]simplify: Simplified to (pow (/ (pow (cos th) 3) (* (sqrt 2) 2)) 3) * * * * [misc]progress: [ 39 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (* (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 40 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (pow (pow (/ (cos th) (sqrt 2)) 3) 3) * [exit]simplify: Simplified to (pow (pow (/ (cos th) (sqrt 2)) 3) 3) * * * * [misc]progress: [ 41 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (sqrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (sqrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * [enter]simplify: Simplifying (sqrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (sqrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (sqrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 42 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (cos th) 3)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (- (cos th)) (* (cos th) (cos th))) * [exit]simplify: Simplified to (* (- (cos th)) (* (cos th) (cos th))) * [enter]simplify: Simplifying (- (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (* (- 2) (sqrt 2)) * [exit]simplify: Simplified to (* (- 2) (sqrt 2)) * * * * [misc]progress: [ 43 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (* (sqrt 2) 2))) (/ (cos th) (cbrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (* (sqrt 2) 2))) (/ (cos th) (cbrt (* (sqrt 2) 2)))) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (cbrt (+ (sqrt 2) (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) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (* (sqrt 2) 2))) * [exit]simplify: Simplified to (/ (cos th) (cbrt (* (sqrt 2) 2))) * * * * [misc]progress: [ 44 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (* (sqrt 2) 2))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (* (sqrt 2) 2))) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (sqrt (+ (sqrt 2) (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) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (* (sqrt 2) 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (* (sqrt 2) 2))) * * * * [misc]progress: [ 45 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ 1 (cos th))) * [exit]simplify: Simplified to (/ (cos th) (/ 1 (cos th))) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt 2)) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt 2)) * * * * [misc]progress: [ 46 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) 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 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ 2 (cos th))) * [exit]simplify: Simplified to (/ (cos th) (/ 2 (cos th))) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 47 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (cbrt (sqrt 2))) * * * * [misc]progress: [ 48 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt (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 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt (sqrt 2))) * * * * [misc]progress: [ 49 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ 1 (cos th))) * [exit]simplify: Simplified to (/ (cos th) (/ 1 (cos th))) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt 2)) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt 2)) * * * * [misc]progress: [ 50 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (cbrt (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 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cos th) 2) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (/ (cos th) 2) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 51 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt (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 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt (sqrt 2))) * * * * [misc]progress: [ 52 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (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 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (cos th)) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (cos th)) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (+ 1 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (cos th) 2) * [exit]simplify: Simplified to (/ (cos th) 2) * * * * [misc]progress: [ 53 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (+ 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (cos th) (/ (cos th) 2)) * [exit]simplify: Simplified to (* (cos th) (/ (cos th) 2)) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 54 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (+ 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (cos th) (/ (cos th) 2)) * [exit]simplify: Simplified to (* (cos th) (/ (cos th) 2)) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 55 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (sqrt (cos th))) (* (cbrt (* (sqrt 2) 2)) (cbrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (/ (* (cos th) (sqrt (cos th))) (* (cbrt (* (sqrt 2) 2)) (cbrt (* (sqrt 2) 2)))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (cbrt (+ (sqrt 2) (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 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cos th)) (cos th)) (cbrt (* (sqrt 2) 2))) * [exit]simplify: Simplified to (/ (* (sqrt (cos th)) (cos th)) (cbrt (* (sqrt 2) 2))) * * * * [misc]progress: [ 56 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt (+ (sqrt 2) (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 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cos th)) (cos th)) (sqrt (* (sqrt 2) 2))) * [exit]simplify: Simplified to (/ (* (sqrt (cos th)) (cos th)) (sqrt (* (sqrt 2) 2))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt (+ (sqrt 2) (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 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cos th)) (cos th)) (sqrt (* (sqrt 2) 2))) * [exit]simplify: Simplified to (/ (* (sqrt (cos th)) (cos th)) (sqrt (* (sqrt 2) 2))) * * * * [misc]progress: [ 57 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) 1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ 1 (cos th))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ 1 (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt 2)) (/ 2 (sqrt (cos th)))) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt 2)) (/ 2 (sqrt (cos th)))) * * * * [misc]progress: [ 58 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) 2) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ 2 (cos th))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ 2 (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * * * * [misc]progress: [ 59 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (/ (cbrt (sqrt 2)) (sqrt (cos th)))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (/ (cbrt (sqrt 2)) (sqrt (cos th)))) * * * * [misc]progress: [ 60 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (/ (sqrt (sqrt 2)) (sqrt (cos th)))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (/ (sqrt (sqrt 2)) (sqrt (cos th)))) * * * * [misc]progress: [ 61 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) 1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ 1 (cos th))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ 1 (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt 2)) (/ 2 (sqrt (cos th)))) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt 2)) (/ 2 (sqrt (cos th)))) * * * * [misc]progress: [ 62 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (/ (cos th) 2) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (/ (cos th) 2) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 63 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (/ (sqrt (sqrt 2)) (sqrt (cos th)))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (/ (sqrt (sqrt 2)) (sqrt (cos th)))) * * * * [misc]progress: [ 64 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (+ 1 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (/ (cos th) 2) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (cos th) 2) (sqrt (cos th))) * * * * [misc]progress: [ 65 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (+ 1 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (/ (cos th) 2) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (cos th) 2) (sqrt (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * * * * [misc]progress: [ 66 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (+ 1 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (/ (cos th) 2) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (cos th) 2) (sqrt (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * * * * [misc]progress: [ 67 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ (sqrt 2) (sqrt 2)))) (cbrt (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ (sqrt 2) (sqrt 2)))) (cbrt (+ (sqrt 2) (sqrt 2)))) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (cbrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (cbrt (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (cbrt (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 68 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqrt 2) (sqrt 2)))) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 69 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (83 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: [ 70 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 2) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (sqrt 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * * * * [misc]progress: [ 71 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 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 (/ (pow (cos th) 3) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) 2) (/ (cos th) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) 2) (/ (cos th) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 72 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) 2) (/ (cos th) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) 2) (/ (cos th) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 73 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (83 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: [ 74 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) (/ (/ (cos th) 2) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) (/ (/ (cos th) 2) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 75 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) 2) (/ (cos th) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) 2) (/ (cos th) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 76 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (+ 1 1)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ 2 (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ 2 (cos th))) * * * * [misc]progress: [ 77 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (+ 1 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (sqrt 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * * * * [misc]progress: [ 78 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (+ 1 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (sqrt 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * * * * [misc]progress: [ 79 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (+ (sqrt 2) (sqrt 2)))) (/ (cos th) (cbrt (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (+ (sqrt 2) (sqrt 2)))) (/ (cos th) (cbrt (+ (sqrt 2) (sqrt 2))))) * [enter]simplify: Simplifying (/ (cos th) (cbrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (* 2 (sqrt 2)))) * [exit]simplify: Simplified to (/ (cos th) (cbrt (* 2 (sqrt 2)))) * * * * [misc]progress: [ 80 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (sqrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (+ (sqrt 2) (sqrt 2)))) * [enter]simplify: Simplifying (/ (cos th) (sqrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (* 2 (sqrt 2)))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (* 2 (sqrt 2)))) * * * * [misc]progress: [ 81 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ 1 (cos th))) * [exit]simplify: Simplified to (/ (cos th) (/ 1 (cos th))) * [enter]simplify: Simplifying (/ (cos th) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt 2)) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt 2)) * * * * [misc]progress: [ 82 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) 2) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ 2 (cos th))) * [exit]simplify: Simplified to (/ (cos th) (/ 2 (cos th))) * [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: [ 83 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cos th) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (cbrt (sqrt 2))) * * * * [misc]progress: [ 84 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cos th) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt (sqrt 2))) * * * * [misc]progress: [ 85 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ 1 (cos th))) * [exit]simplify: Simplified to (/ (cos th) (/ 1 (cos th))) * [enter]simplify: Simplifying (/ (cos th) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt 2)) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt 2)) * * * * [misc]progress: [ 86 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cos th) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 87 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cos th) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt (sqrt 2))) * * * * [misc]progress: [ 88 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (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 (/ (* (cos th) (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt 2)) * [enter]simplify: Simplifying (/ (cos th) (+ 1 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) 2) * [exit]simplify: Simplified to (/ (cos th) 2) * * * * [misc]progress: [ 89 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (+ 1 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ 2 (cos th))) * [exit]simplify: Simplified to (/ (cos th) (/ 2 (cos th))) * [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: [ 90 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (+ 1 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ 2 (cos th))) * [exit]simplify: Simplified to (/ (cos th) (/ 2 (cos th))) * [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: [ 91 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (* (sqrt 2) 2))) (/ (cos th) (cbrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (* (sqrt 2) 2))) (/ (cos th) (cbrt (* (sqrt 2) 2)))) * [enter]simplify: Simplifying (/ (cbrt (pow (cos th) 3)) (cbrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (* (sqrt 2) 2))) * [exit]simplify: Simplified to (/ (cos th) (cbrt (* (sqrt 2) 2))) * * * * [misc]progress: [ 92 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (sqrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (* (sqrt 2) 2))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (* (sqrt 2) 2))) * [enter]simplify: Simplifying (/ (cbrt (pow (cos th) 3)) (sqrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (* (sqrt 2) 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (* (sqrt 2) 2))) * * * * [misc]progress: [ 93 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (/ (cos th) 1) (cos th)) * [exit]simplify: Simplified to (* (/ (cos th) 1) (cos th)) * [enter]simplify: Simplifying (/ (cbrt (pow (cos th) 3)) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt 2) 2)) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt 2) 2)) * * * * [misc]progress: [ 94 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) 2) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ 2 (cos th))) * [exit]simplify: Simplified to (/ (cos th) (/ 2 (cos th))) * [enter]simplify: Simplifying (/ (cbrt (pow (cos th) 3)) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 95 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (cbrt (pow (cos th) 3)) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (cbrt (sqrt 2))) * * * * [misc]progress: [ 96 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cbrt (pow (cos th) 3)) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt (sqrt 2))) * * * * [misc]progress: [ 97 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (/ (cos th) 1) (cos th)) * [exit]simplify: Simplified to (* (/ (cos th) 1) (cos th)) * [enter]simplify: Simplifying (/ (cbrt (pow (cos th) 3)) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt 2) 2)) * [exit]simplify: Simplified to (/ (cos th) (* (sqrt 2) 2)) * * * * [misc]progress: [ 98 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cbrt (pow (cos th) 3)) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 99 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (cbrt (pow (cos th) 3)) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt (sqrt 2))) * * * * [misc]progress: [ 100 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (sqrt 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (cos th) (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (* (cos th) (/ (cos th) (sqrt 2))) * [enter]simplify: Simplifying (/ (cbrt (pow (cos th) 3)) (+ 1 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ (cos th) 2) * [exit]simplify: Simplified to (/ (cos th) 2) * * * * [misc]progress: [ 101 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (+ 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (* (cos th) (/ (cos th) 2)) * [exit]simplify: Simplified to (* (cos th) (/ (cos th) 2)) * [enter]simplify: Simplifying (/ (cbrt (pow (cos th) 3)) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 102 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (+ 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (* (cos th) (/ (cos th) 2)) * [exit]simplify: Simplified to (* (cos th) (/ (cos th) 2)) * [enter]simplify: Simplifying (/ (cbrt (pow (cos th) 3)) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 103 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (* (sqrt 2) 2))) (/ (cos th) (cbrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (* (sqrt 2) 2))) (/ (cos th) (cbrt (* (sqrt 2) 2)))) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (cbrt (+ (sqrt 2) (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) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (cos th) (cbrt (* (sqrt 2) 2))) * [exit]simplify: Simplified to (/ (cos th) (cbrt (* (sqrt 2) 2))) * * * * [misc]progress: [ 104 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (* (sqrt 2) 2))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (* (sqrt 2) 2))) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (sqrt (+ (sqrt 2) (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) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (* (sqrt 2) 2))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (* (sqrt 2) 2))) * * * * [misc]progress: [ 105 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ 1 (cos th))) * [exit]simplify: Simplified to (/ (cos th) (/ 1 (cos th))) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt 2)) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt 2)) * * * * [misc]progress: [ 106 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) 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 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ 2 (cos th))) * [exit]simplify: Simplified to (/ (cos th) (/ 2 (cos th))) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 107 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (cbrt (sqrt 2))) * * * * [misc]progress: [ 108 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt (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 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt (sqrt 2))) * * * * [misc]progress: [ 109 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ 1 (cos th))) * [exit]simplify: Simplified to (/ (cos th) (/ 1 (cos th))) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt 2)) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt 2)) * * * * [misc]progress: [ 110 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (cbrt (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 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (183 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cos th) 2) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (/ (cos th) 2) (cbrt (sqrt 2))) (cbrt (sqrt 2))) * * * * [misc]progress: [ 111 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt (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 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (sqrt (sqrt 2))) * * * * [misc]progress: [ 112 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (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 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (cos th)) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (cos th)) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (+ 1 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (cos th) 2) * [exit]simplify: Simplified to (/ (cos th) 2) * * * * [misc]progress: [ 113 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (+ 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (cos th) (/ (cos th) 2)) * [exit]simplify: Simplified to (* (cos th) (/ (cos th) 2)) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 114 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (+ 1 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (* (cos th) (/ (cos th) 2)) * [exit]simplify: Simplified to (* (cos th) (/ (cos th) 2)) * [enter]simplify: Simplifying (/ (pow (cbrt (cos th)) 3) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * [exit]simplify: Simplified to (/ (cos th) (sqrt 2)) * * * * [misc]progress: [ 115 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (sqrt (cos th))) (* (cbrt (* (sqrt 2) 2)) (cbrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (/ (* (cos th) (sqrt (cos th))) (* (cbrt (* (sqrt 2) 2)) (cbrt (* (sqrt 2) 2)))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (cbrt (+ (sqrt 2) (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 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cos th)) (cos th)) (cbrt (* (sqrt 2) 2))) * [exit]simplify: Simplified to (/ (* (sqrt (cos th)) (cos th)) (cbrt (* (sqrt 2) 2))) * * * * [misc]progress: [ 116 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt (+ (sqrt 2) (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 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cos th)) (cos th)) (sqrt (* (sqrt 2) 2))) * [exit]simplify: Simplified to (/ (* (sqrt (cos th)) (cos th)) (sqrt (* (sqrt 2) 2))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt (+ (sqrt 2) (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 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cos th)) (cos th)) (sqrt (* (sqrt 2) 2))) * [exit]simplify: Simplified to (/ (* (sqrt (cos th)) (cos th)) (sqrt (* (sqrt 2) 2))) * * * * [misc]progress: [ 117 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) 1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ 1 (cos th))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ 1 (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt 2)) (/ 2 (sqrt (cos th)))) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt 2)) (/ 2 (sqrt (cos th)))) * * * * [misc]progress: [ 118 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) 2) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ 2 (cos th))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ 2 (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * * * * [misc]progress: [ 119 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (/ (cbrt (sqrt 2)) (sqrt (cos th)))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (/ (cbrt (sqrt 2)) (sqrt (cos th)))) * * * * [misc]progress: [ 120 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (/ (sqrt (sqrt 2)) (sqrt (cos th)))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (/ (sqrt (sqrt 2)) (sqrt (cos th)))) * * * * [misc]progress: [ 121 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) 1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ 1 (cos th))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ 1 (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt 2)) (/ 2 (sqrt (cos th)))) * [exit]simplify: Simplified to (/ (/ (cos th) (sqrt 2)) (/ 2 (sqrt (cos th)))) * * * * [misc]progress: [ 122 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (cbrt (sqrt 2)) (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (/ (cos th) 2) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (sqrt (cos th)) (cbrt (sqrt 2))) (/ (/ (cos th) 2) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 123 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (/ (sqrt (cos th)) (/ (sqrt (sqrt 2)) (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (/ (sqrt (sqrt 2)) (sqrt (cos th)))) * [exit]simplify: Simplified to (/ (/ (cos th) 2) (/ (sqrt (sqrt 2)) (sqrt (cos th)))) * * * * [misc]progress: [ 124 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (+ 1 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (/ (cos th) 2) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (cos th) 2) (sqrt (cos th))) * * * * [misc]progress: [ 125 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (+ 1 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (/ (cos th) 2) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (cos th) 2) (sqrt (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * * * * [misc]progress: [ 126 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (+ 1 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (/ (cos th) 2) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (cos th) 2) (sqrt (cos th))) * [enter]simplify: Simplifying (/ (pow (sqrt (cos th)) 3) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (sqrt (cos th))) * * * * [misc]progress: [ 127 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ (sqrt 2) (sqrt 2)))) (cbrt (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ (sqrt 2) (sqrt 2)))) (cbrt (+ (sqrt 2) (sqrt 2)))) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (cbrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (cbrt (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (cbrt (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 128 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (sqrt 2) (sqrt 2)))) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 129 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (83 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: [ 130 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 2) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (sqrt 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * * * * [misc]progress: [ 131 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 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 (/ (pow (cos th) 3) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) 2) (/ (cos th) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) 2) (/ (cos th) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 132 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) 2) (/ (cos th) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) 2) (/ (cos th) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 133 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (83 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: [ 134 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) (/ (/ (cos th) 2) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) (/ (/ (cos th) 2) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 135 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) 2) (/ (cos th) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) 2) (/ (cos th) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 136 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (sqrt 2)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [exit]simplify: Simplified to (/ 1 (sqrt 2)) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (+ 1 1)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ 2 (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ 2 (cos th))) * * * * [misc]progress: [ 137 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (+ 1 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (sqrt 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * * * * [misc]progress: [ 138 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow 1 3) (+ 1 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (sqrt 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * * * * [misc]progress: [ 139 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (/ (cos th) (cbrt (* 2 (sqrt 2)))) (cbrt (* 2 (sqrt 2)))) * [exit]simplify: Simplified to (/ (/ (cos th) (cbrt (* 2 (sqrt 2)))) (cbrt (* 2 (sqrt 2)))) * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (cbrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (cbrt (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (cbrt (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 140 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (sqrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) (sqrt (* 2 (sqrt 2)))) * [exit]simplify: Simplified to (/ (cos th) (sqrt (* 2 (sqrt 2)))) * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (sqrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 141 / 384 ] 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) * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (/ (cos th) 2)) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (/ (cos th) 2)) * * * * [misc]progress: [ 142 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) 2) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (cos th) 2) * [exit]simplify: Simplified to (/ (cos th) 2) * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (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 (/ (* (cos th) (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt 2)) * * * * [misc]progress: [ 143 / 384 ] 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)))) * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ (cbrt (sqrt 2)) (/ (cos th) 2))) * [exit]simplify: Simplified to (/ (cos th) (/ (cbrt (sqrt 2)) (/ (cos th) 2))) * * * * [misc]progress: [ 144 / 384 ] 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))) * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt (sqrt 2)) (/ (cos th) 2))) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt (sqrt 2)) (/ (cos th) 2))) * * * * [misc]progress: [ 145 / 384 ] 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) * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (/ (cos th) 2)) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (/ (cos th) 2)) * * * * [misc]progress: [ 146 / 384 ] simplifiying candidate # * [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))) * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (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 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) (* 2 (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) (* 2 (cbrt (sqrt 2)))) * * * * [misc]progress: [ 147 / 384 ] 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))) * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt (sqrt 2)) (/ (cos th) 2))) * [exit]simplify: Simplified to (/ (cos th) (/ (sqrt (sqrt 2)) (/ (cos th) 2))) * * * * [misc]progress: [ 148 / 384 ] simplifiying candidate # * [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)) * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (+ 1 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (cos th) (/ 2 (cos th))) * [exit]simplify: Simplified to (/ (cos th) (/ 2 (cos th))) * * * * [misc]progress: [ 149 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (+ 1 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) 2) * [exit]simplify: Simplified to (/ (cos th) 2) * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (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 (/ (* (cos th) (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt 2)) * * * * [misc]progress: [ 150 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos th) (+ 1 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ (cos th) 2) * [exit]simplify: Simplified to (/ (cos th) 2) * [enter]simplify: Simplifying (/ (* (cos th) (cos th)) (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 (/ (* (cos th) (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (sqrt 2)) * * * * [misc]progress: [ 151 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (* (cbrt (* (sqrt 2) 2)) (cbrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (* (cbrt (* (sqrt 2) 2)) (cbrt (* (sqrt 2) 2)))) * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (cbrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (cbrt (* (sqrt 2) 2))) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (cbrt (* (sqrt 2) 2))) * * * * [misc]progress: [ 152 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (sqrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (sqrt (* (sqrt 2) 2))) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (sqrt (* (sqrt 2) 2))) * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (sqrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (sqrt (* (sqrt 2) 2))) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (sqrt (* (sqrt 2) 2))) * * * * [misc]progress: [ 153 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) 1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) 1) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) 1) * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (* (sqrt 2) 2)) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (* (sqrt 2) 2)) * * * * [misc]progress: [ 154 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) 2) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) 2) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) 2) * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (sqrt 2)) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (sqrt 2)) * * * * [misc]progress: [ 155 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (* 2 (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (* 2 (cbrt (sqrt 2)))) * * * * [misc]progress: [ 156 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (* 2 (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (* 2 (sqrt (sqrt 2)))) * * * * [misc]progress: [ 157 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) 1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) 1) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) 1) * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (* (sqrt 2) 2)) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (* (sqrt 2) 2)) * * * * [misc]progress: [ 158 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 2)) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (* (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) 2)) * * * * [misc]progress: [ 159 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (sqrt (sqrt 2))) * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (* 2 (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (* 2 (sqrt (sqrt 2)))) * * * * [misc]progress: [ 160 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (sqrt 2)) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (sqrt 2)) * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (+ 1 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) 2) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) 2) * * * * [misc]progress: [ 161 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (+ 1 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) 2) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) 2) * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (sqrt 2)) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (sqrt 2)) * * * * [misc]progress: [ 162 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (+ 1 1)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) 2) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) 2) * [enter]simplify: Simplifying (/ (sqrt (pow (cos th) 3)) (sqrt 2)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (sqrt 2)) * [exit]simplify: Simplified to (/ (sqrt (pow (cos th) 3)) (sqrt 2)) * * * * [misc]progress: [ 163 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (sqrt 2) 2)) (cbrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (sqrt 2) 2)) (cbrt (* (sqrt 2) 2)))) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (cbrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (cbrt (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (cbrt (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 164 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (* (sqrt 2) 2))) * [exit]simplify: Simplified to (/ 1 (sqrt (* (sqrt 2) 2))) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 165 / 384 ] 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 (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (83 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: [ 166 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (sqrt 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * * * * [misc]progress: [ 167 / 384 ] 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 (/ (pow (cos th) 3) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) 2) (/ (cos th) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) 2) (/ (cos th) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 168 / 384 ] 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 (/ (pow (cos th) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) 2) (/ (cos th) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) 2) (/ (cos th) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 169 / 384 ] 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 (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (83 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: [ 170 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt 2))) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) (/ (/ (cos th) 2) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) (/ (/ (cos th) 2) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 171 / 384 ] 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 (/ (pow (cos th) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) 2) (/ (cos th) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) 2) (/ (cos th) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 172 / 384 ] 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)) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (+ 1 1)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ 2 (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ 2 (cos th))) * * * * [misc]progress: [ 173 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (sqrt 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * * * * [misc]progress: [ 174 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (pow (cos th) 3) (sqrt 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * * * * [misc]progress: [ 175 / 384 ] simplifiying candidate # * * * * [misc]progress: [ 176 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt 2)) * [exit]simplify: Simplified to (/ (/ 1 2) (sqrt 2)) * * * * [misc]progress: [ 177 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt 2) (sqrt 2)) (pow (cos th) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt 2) (sqrt 2)) (pow (cos th) 3)) * [exit]simplify: Simplified to (/ (+ (sqrt 2) (sqrt 2)) (pow (cos th) 3)) * * * * [misc]progress: [ 178 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (cos th) 3) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) (cbrt (+ (sqrt 2) (sqrt 2)))) (/ (cos th) (cbrt (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) (cbrt (+ (sqrt 2) (sqrt 2)))) (/ (cos th) (cbrt (+ (sqrt 2) (sqrt 2))))) * * * * [misc]progress: [ 179 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 180 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (cos th) 3) 1) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ 1 (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ 1 (cos th))) * * * * [misc]progress: [ 181 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (cos th) 3) 2) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ (cos th) 2) (* (cos th) (cos th))) * [exit]simplify: Simplified to (* (/ (cos th) 2) (* (cos th) (cos th))) * * * * [misc]progress: [ 182 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (cos th) 3) (* (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 (26 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (* (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 183 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (cos th) 3) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (sqrt (sqrt 2))) * * * * [misc]progress: [ 184 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (cos th) 3) 1) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ 1 (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ 1 (cos th))) * * * * [misc]progress: [ 185 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (cos th) 3) (cbrt (sqrt 2))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (cbrt (sqrt 2))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (cbrt (sqrt 2))) * * * * [misc]progress: [ 186 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (cos th) 3) (sqrt (sqrt 2))) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (sqrt (sqrt 2))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (sqrt (sqrt 2))) * * * * [misc]progress: [ 187 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (cos th) 3) (sqrt 2)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th))) * * * * [misc]progress: [ 188 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (cos th) 3) (+ 1 1)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ 2 (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ 2 (cos th))) * * * * [misc]progress: [ 189 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (cos th) 3) (+ 1 1)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ 2 (cos th))) * [exit]simplify: Simplified to (/ (* (cos th) (cos th)) (/ 2 (cos th))) * * * * [misc]progress: [ 190 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt 2) (sqrt 2)) (pow (cbrt (cos th)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ 2 (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (* (/ 2 (cos th)) (sqrt 2)) * * * * [misc]progress: [ 191 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt 2) (sqrt 2)) (pow (sqrt (cos th)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (/ 2 (cos th)) (/ (sqrt 2) (sqrt (cos th)))) * [exit]simplify: Simplified to (* (/ 2 (cos th)) (/ (sqrt 2) (sqrt (cos th)))) * * * * [misc]progress: [ 192 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt 2) (sqrt 2)) (pow (cos th) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt 2) (sqrt 2)) (pow (cos th) 3)) * [exit]simplify: Simplified to (/ (+ (sqrt 2) (sqrt 2)) (pow (cos th) 3)) * * * * [misc]progress: [ 193 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt 2) (sqrt 2)) (cos th)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (* (/ 2 (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (* (/ 2 (cos th)) (sqrt 2)) * * * * [misc]progress: [ 194 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt 2) (sqrt 2)) (cbrt (pow (cos th) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ 2 (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (/ 2 (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 195 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt 2) (sqrt 2)) (pow (cbrt (cos th)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (/ 2 (cos th)) (sqrt 2)) * [exit]simplify: Simplified to (* (/ 2 (cos th)) (sqrt 2)) * * * * [misc]progress: [ 196 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt 2) (sqrt 2)) (pow (sqrt (cos th)) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (/ 2 (cos th)) (/ (sqrt 2) (sqrt (cos th)))) * [exit]simplify: Simplified to (* (/ 2 (cos th)) (/ (sqrt 2) (sqrt (cos th)))) * * * * [misc]progress: [ 197 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt 2) (sqrt 2)) (pow (cos th) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt 2) (sqrt 2)) (pow (cos th) 3)) * [exit]simplify: Simplified to (/ (+ (sqrt 2) (sqrt 2)) (pow (cos th) 3)) * * * * [misc]progress: [ 198 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt 2) (sqrt 2)) (* (cos th) (cos th))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 2) (cos th)) (/ 2 (cos th))) * [exit]simplify: Simplified to (* (/ (sqrt 2) (cos th)) (/ 2 (cos th))) * * * * [misc]progress: [ 199 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt 2) (sqrt 2)) (sqrt (pow (cos th) 3))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt 2) (sqrt 2)) (sqrt (pow (cos th) 3))) * [exit]simplify: Simplified to (/ (+ (sqrt 2) (sqrt 2)) (sqrt (pow (cos th) 3))) * * * * [misc]progress: [ 200 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt 2) (sqrt 2)) (pow (cos th) 3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt 2) (sqrt 2)) (pow (cos th) 3)) * [exit]simplify: Simplified to (/ (+ (sqrt 2) (sqrt 2)) (pow (cos th) 3)) * * * * [misc]progress: [ 201 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (cos th) 3) (+ (pow (sqrt 2) 3) (pow (sqrt 2) 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* (+ 2 2) (sqrt 2))) * [exit]simplify: Simplified to (/ (pow (cos th) 3) (* (+ 2 2) (sqrt 2))) * * * * [misc]progress: [ 202 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (pow (cos th) 3) (- (* (sqrt 2) (sqrt 2)) (* (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cos th) 0) * [exit]simplify: Simplified to (/ (cos th) 0) * * * * [misc]progress: [ 203 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (pow (cos th) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (expm1 (pow (cos th) 3)) * [exit]simplify: Simplified to (expm1 (pow (cos th) 3)) * * * * [misc]progress: [ 204 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (pow (cos th) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p (pow (cos th) 3)) * [exit]simplify: Simplified to (log1p (pow (cos th) 3)) * * * * [misc]progress: [ 205 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (cos th)) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (log (cos th)) 3) * [exit]simplify: Simplified to (* (log (cos th)) 3) * * * * [misc]progress: [ 206 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log (cos th)) 3) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (log (cos th)) 3) * [exit]simplify: Simplified to (* (log (cos th)) 3) * * * * [misc]progress: [ 207 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 3) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 3 * [exit]simplify: Simplified to 3 * * * * [misc]progress: [ 208 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (cos th) (cos th)) * [exit]simplify: Simplified to (* (cos th) (cos th)) * [enter]simplify: Simplifying (pow (cbrt (cos th)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cos th) * [exit]simplify: Simplified to (cos th) * * * * [misc]progress: [ 209 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (cos th)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (cos th)) (cos th)) * [exit]simplify: Simplified to (* (sqrt (cos th)) (cos th)) * [enter]simplify: Simplifying (pow (sqrt (cos th)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (cos th)) (cos th)) * [exit]simplify: Simplified to (* (sqrt (cos th)) (cos th)) * * * * [misc]progress: [ 210 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (cos th) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (cos th) 3) * [exit]simplify: Simplified to (pow (cos th) 3) * * * * [misc]progress: [ 211 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (cos th)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (cos th) (cos th)) * [exit]simplify: Simplified to (* (cos th) (cos th)) * * * * [misc]progress: [ 212 / 384 ] simplifiying candidate # * * * * [misc]progress: [ 213 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (log (pow (cos th) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* 3 (log (cos th))) * [exit]simplify: Simplified to (* 3 (log (cos th))) * * * * [misc]progress: [ 214 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (pow (cos th) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (exp (pow (cos th) 3)) * [exit]simplify: Simplified to (exp (pow (cos th) 3)) * * * * [misc]progress: [ 215 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* (cos th) (cos th)) * [exit]simplify: Simplified to (* (cos th) (cos th)) * [enter]simplify: Simplifying (cbrt (pow (cos th) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (cos th) * [exit]simplify: Simplified to (cos th) * * * * [misc]progress: [ 216 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (pow (cos th) 3) (pow (cos th) 3)) (pow (cos th) 3)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (pow (pow (cos th) 3) 3) * [exit]simplify: Simplified to (pow (pow (cos th) 3) 3) * * * * [misc]progress: [ 217 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (cos th) (cos th)) * [exit]simplify: Simplified to (* (cos th) (cos th)) * [enter]simplify: Simplifying (pow (cbrt (cos th)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cos th) * [exit]simplify: Simplified to (cos th) * * * * [misc]progress: [ 218 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (sqrt (cos th)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (cos th)) (cos th)) * [exit]simplify: Simplified to (* (sqrt (cos th)) (cos th)) * [enter]simplify: Simplifying (pow (sqrt (cos th)) 3) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (* (sqrt (cos th)) (cos th)) * [exit]simplify: Simplified to (* (sqrt (cos th)) (cos th)) * * * * [misc]progress: [ 219 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (pow 1 3) * * [misc]simplify: iters left: 1 (3 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (pow (cos th) 3) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (pow (cos th) 3) * [exit]simplify: Simplified to (pow (cos th) 3) * * * * [misc]progress: [ 220 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos th) (cos th)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (* (cos th) (cos th)) * [exit]simplify: Simplified to (* (cos th) (cos th)) * * * * [misc]progress: [ 221 / 384 ] simplifiying candidate # * * * * [misc]progress: [ 222 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (pow (cos th) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (pow (cos th) 3)) * [exit]simplify: Simplified to (sqrt (pow (cos th) 3)) * [enter]simplify: Simplifying (sqrt (pow (cos th) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (sqrt (pow (cos th) 3)) * [exit]simplify: Simplified to (sqrt (pow (cos th) 3)) * * * * [misc]progress: [ 223 / 384 ] simplifiying candidate # * * * * [misc]progress: [ 224 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (expm1 (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * * * [misc]progress: [ 225 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (log1p (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (log1p (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * * * [misc]progress: [ 226 / 384 ] simplifiying candidate # * * * * [misc]progress: [ 227 / 384 ] simplifiying candidate # * * * * [misc]progress: [ 228 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (log (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * * * [misc]progress: [ 229 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (exp (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (exp (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * * * [misc]progress: [ 230 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * * * [misc]progress: [ 231 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * * * [misc]progress: [ 232 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (* (sqrt 2) 2))) (/ (cos th) (cbrt (* (sqrt 2) 2))))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (* (sqrt 2) 2))) (/ (cos th) (cbrt (* (sqrt 2) 2))))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (cbrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (cbrt (* (sqrt 2) 2)))) * * * * [misc]progress: [ 233 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (* (sqrt 2) 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (sqrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt (* (sqrt 2) 2)))) * * * * [misc]progress: [ 234 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) 1)) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) 1)) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) 1)) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt 2))) * * * * [misc]progress: [ 235 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) 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 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (cos th))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 236 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 237 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 238 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) 1)) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) 1)) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) 1)) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt 2))) * * * * [misc]progress: [ 239 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (* 2 (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (* 2 (cbrt (sqrt 2))))) * * * * [misc]progress: [ 240 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 241 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (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 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (cos th)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (+ 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) 2)) * [exit]simplify: Simplified to (cbrt (/ (cos th) 2)) * * * * [misc]progress: [ 242 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (+ 1 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (cos th))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 243 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (+ 1 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (cos th))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 244 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (* (sqrt (cos th)) (cos th)) (cbrt (* (sqrt 2) 2))) (cbrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ (* (sqrt (cos th)) (cos th)) (cbrt (* (sqrt 2) 2))) (cbrt (* (sqrt 2) 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (sqrt (cos th))) (cbrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (sqrt (cos th))) (cbrt (* (sqrt 2) 2)))) * * * * [misc]progress: [ 245 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (sqrt (cos th))) (sqrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (sqrt (cos th))) (sqrt (* (sqrt 2) 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (sqrt (cos th))) (sqrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (sqrt (cos th))) (sqrt (* (sqrt 2) 2)))) * * * * [misc]progress: [ 246 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (cos th)) (/ (cos th) 1))) * [exit]simplify: Simplified to (cbrt (* (sqrt (cos th)) (/ (cos th) 1))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (sqrt 2) (sqrt (cos th))))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (sqrt 2) (sqrt (cos th))))) * * * * [misc]progress: [ 247 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 248 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2))))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (cbrt (sqrt 2)) (sqrt (cos th))))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (cbrt (sqrt 2)) (sqrt (cos th))))) * * * * [misc]progress: [ 249 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (cos th)) (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (cos th)) (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (sqrt (sqrt 2)) (sqrt (cos th))))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (sqrt (sqrt 2)) (sqrt (cos th))))) * * * * [misc]progress: [ 250 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (cos th)) (/ (cos th) 1))) * [exit]simplify: Simplified to (cbrt (* (sqrt (cos th)) (/ (cos th) 1))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (sqrt 2) (sqrt (cos th))))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (sqrt 2) (sqrt (cos th))))) * * * * [misc]progress: [ 251 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (cos th)) (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (cos th)) (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (cos th) 2) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (cos th))))) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (cos th) 2) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (cos th))))) * * * * [misc]progress: [ 252 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (cos th)) (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (cos th)) (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (sqrt (sqrt 2)) (sqrt (cos th))))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (sqrt (sqrt 2)) (sqrt (cos th))))) * * * * [misc]progress: [ 253 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (+ 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * * * * [misc]progress: [ 254 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (+ 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 255 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (+ 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 256 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2)))))) * [exit]simplify: Simplified to (cbrt (/ 1 (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2)))))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (cbrt (+ (sqrt 2) (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) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (cbrt (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (cbrt (+ (sqrt 2) (sqrt 2))))) * * * * [misc]progress: [ 257 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) (sqrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (+ (sqrt 2) (sqrt 2))))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (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) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (sqrt 2))))) * * * * [misc]progress: [ 258 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 1)) * [exit]simplify: Simplified to (cbrt (/ 1 1)) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 259 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) 2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 260 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (cos th) 2) (cos th)) (/ (cos th) (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (* (* (/ (cos th) 2) (cos th)) (/ (cos th) (cbrt (sqrt 2))))) * * * * [misc]progress: [ 261 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (cos th) 2) (cos th)) (/ (cos th) (sqrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (* (* (/ (cos th) 2) (cos th)) (/ (cos th) (sqrt (sqrt 2))))) * * * * [misc]progress: [ 262 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 1)) * [exit]simplify: Simplified to (cbrt (/ 1 1)) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 263 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) (/ (/ (cos th) 2) (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (* (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) (/ (/ (cos th) 2) (cbrt (sqrt 2))))) * * * * [misc]progress: [ 264 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (cos th) 2) (cos th)) (/ (cos th) (sqrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (* (* (/ (cos th) 2) (cos th)) (/ (cos th) (sqrt (sqrt 2))))) * * * * [misc]progress: [ 265 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt 2))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ 1 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (cbrt (* (* (cos th) (cos th)) (/ (cos th) 2))) * [exit]simplify: Simplified to (cbrt (* (* (cos th) (cos th)) (/ (cos th) 2))) * * * * [misc]progress: [ 266 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) (+ 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 267 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) (+ 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 268 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (+ (sqrt 2) (sqrt 2)))) (/ (cos th) (cbrt (+ (sqrt 2) (sqrt 2)))))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (+ (sqrt 2) (sqrt 2)))) (/ (cos th) (cbrt (+ (sqrt 2) (sqrt 2)))))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (cbrt (* 2 (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (cbrt (* 2 (sqrt 2))))) * * * * [misc]progress: [ 269 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) (sqrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (+ (sqrt 2) (sqrt 2))))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (sqrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt (* 2 (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt (* 2 (sqrt 2))))) * * * * [misc]progress: [ 270 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (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) 1) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 1) (cos th))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt 2))) * * * * [misc]progress: [ 271 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) 2)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (cbrt (* (cos th) (/ (cos th) 2))) * [exit]simplify: Simplified to (cbrt (* (cos th) (/ (cos th) 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: [ 272 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (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))) (/ (cos th) (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 273 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (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) (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 274 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (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) 1) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 1) (cos th))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt 2))) * * * * [misc]progress: [ 275 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) (cbrt (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) (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * * * [misc]progress: [ 276 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (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) (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 277 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) (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 (/ (cos th) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (cos th)))) * [enter]simplify: Simplifying (cbrt (/ (cos th) (+ 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) 2)) * [exit]simplify: Simplified to (cbrt (/ (cos th) 2)) * * * * [misc]progress: [ 278 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) (+ 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (cos th))) * [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: [ 279 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) (+ 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (cos th))) * [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: [ 280 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (* (sqrt 2) 2))) (/ (cos th) (cbrt (* (sqrt 2) 2))))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (* (sqrt 2) 2))) (/ (cos th) (cbrt (* (sqrt 2) 2))))) * [enter]simplify: Simplifying (cbrt (/ (cbrt (pow (cos th) 3)) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (cbrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (cbrt (* (sqrt 2) 2)))) * * * * [misc]progress: [ 281 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (sqrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (* (sqrt 2) 2)))) * [enter]simplify: Simplifying (cbrt (/ (cbrt (pow (cos th) 3)) (sqrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt (* (sqrt 2) 2)))) * * * * [misc]progress: [ 282 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 1) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 1) (cos th))) * [enter]simplify: Simplifying (cbrt (/ (cbrt (pow (cos th) 3)) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt 2))) * * * * [misc]progress: [ 283 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (cbrt (* (cos th) (/ (cos th) 2))) * [exit]simplify: Simplified to (cbrt (* (cos th) (/ (cos th) 2))) * [enter]simplify: Simplifying (cbrt (/ (cbrt (pow (cos th) 3)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 284 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) * [enter]simplify: Simplifying (cbrt (/ (cbrt (pow (cos th) 3)) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 285 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cbrt (pow (cos th) 3)) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 286 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 1) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 1) (cos th))) * [enter]simplify: Simplifying (cbrt (/ (cbrt (pow (cos th) 3)) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt 2))) * * * * [misc]progress: [ 287 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cbrt (pow (cos th) 3)) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (* 2 (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (* 2 (cbrt (sqrt 2))))) * * * * [misc]progress: [ 288 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (cbrt (pow (cos th) 3)) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 289 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (sqrt 2))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (sqrt 2)) (cos th))) * [enter]simplify: Simplifying (cbrt (/ (cbrt (pow (cos th) 3)) (+ 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) 2)) * [exit]simplify: Simplified to (cbrt (/ (cos th) 2)) * * * * [misc]progress: [ 290 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (+ 1 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) 2)) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) 2)) * [enter]simplify: Simplifying (cbrt (/ (cbrt (pow (cos th) 3)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 291 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (pow (cos th) 3)) (cbrt (pow (cos th) 3))) (+ 1 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) 2)) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) 2)) * [enter]simplify: Simplifying (cbrt (/ (cbrt (pow (cos th) 3)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 292 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (* (sqrt 2) 2))) (/ (cos th) (cbrt (* (sqrt 2) 2))))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (* (sqrt 2) 2))) (/ (cos th) (cbrt (* (sqrt 2) 2))))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (cbrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (cbrt (* (sqrt 2) 2)))) * * * * [misc]progress: [ 293 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (* (sqrt 2) 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (sqrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt (* (sqrt 2) 2)))) * * * * [misc]progress: [ 294 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) 1)) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) 1)) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) 1)) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt 2))) * * * * [misc]progress: [ 295 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) 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 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (cos th))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 296 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) (cbrt (sqrt 2))))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (cbrt (sqrt 2)))) * * * * [misc]progress: [ 297 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 298 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) 1)) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) 1)) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) 1)) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt 2))) * * * * [misc]progress: [ 299 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (* 2 (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) (cbrt (sqrt 2))) (* 2 (cbrt (sqrt 2))))) * * * * [misc]progress: [ 300 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (sqrt (sqrt 2)))) * * * * [misc]progress: [ 301 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (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 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (cos th)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (+ 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) 2)) * [exit]simplify: Simplified to (cbrt (/ (cos th) 2)) * * * * [misc]progress: [ 302 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (+ 1 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (cos th))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 303 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (* (cbrt (cos th)) (cbrt (cos th))) 3) (+ 1 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (cos th))) * [enter]simplify: Simplifying (cbrt (/ (pow (cbrt (cos th)) 3) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 304 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (* (sqrt (cos th)) (cos th)) (cbrt (* (sqrt 2) 2))) (cbrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ (* (sqrt (cos th)) (cos th)) (cbrt (* (sqrt 2) 2))) (cbrt (* (sqrt 2) 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (sqrt (cos th))) (cbrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (sqrt (cos th))) (cbrt (* (sqrt 2) 2)))) * * * * [misc]progress: [ 305 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (sqrt (cos th))) (sqrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (sqrt (cos th))) (sqrt (* (sqrt 2) 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (sqrt (cos th))) (sqrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (sqrt (cos th))) (sqrt (* (sqrt 2) 2)))) * * * * [misc]progress: [ 306 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (cos th)) (/ (cos th) 1))) * [exit]simplify: Simplified to (cbrt (* (sqrt (cos th)) (/ (cos th) 1))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (sqrt 2) (sqrt (cos th))))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (sqrt 2) (sqrt (cos th))))) * * * * [misc]progress: [ 307 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 308 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (sqrt (cos th)) (cbrt (sqrt 2))))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (cbrt (sqrt 2)) (sqrt (cos th))))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (cbrt (sqrt 2)) (sqrt (cos th))))) * * * * [misc]progress: [ 309 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (cos th)) (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (cos th)) (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (sqrt (sqrt 2)) (sqrt (cos th))))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (sqrt (sqrt 2)) (sqrt (cos th))))) * * * * [misc]progress: [ 310 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (* (sqrt (cos th)) (/ (cos th) 1))) * [exit]simplify: Simplified to (cbrt (* (sqrt (cos th)) (/ (cos th) 1))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (sqrt 2) (sqrt (cos th))))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (sqrt 2) (sqrt (cos th))))) * * * * [misc]progress: [ 311 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (cos th)) (cos th)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (cos th)) (cos th)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (cos th) 2) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (cos th))))) * [exit]simplify: Simplified to (cbrt (/ (/ (/ (cos th) 2) (cbrt (sqrt 2))) (/ (cbrt (sqrt 2)) (sqrt (cos th))))) * * * * [misc]progress: [ 312 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (cos th)) (cos th)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (* (sqrt (cos th)) (cos th)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (sqrt (sqrt 2)) (sqrt (cos th))))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) 2) (/ (sqrt (sqrt 2)) (sqrt (cos th))))) * * * * [misc]progress: [ 313 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (+ 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * * * * [misc]progress: [ 314 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (+ 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 315 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (+ 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (sqrt (cos th)))) * [enter]simplify: Simplifying (cbrt (/ (pow (sqrt (cos th)) 3) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (cos th)) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 316 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2)))))) * [exit]simplify: Simplified to (cbrt (/ 1 (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2)))))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (cbrt (+ (sqrt 2) (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) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (cbrt (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (cbrt (+ (sqrt 2) (sqrt 2))))) * * * * [misc]progress: [ 317 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) (sqrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (+ (sqrt 2) (sqrt 2))))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (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) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (sqrt 2))))) * * * * [misc]progress: [ 318 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 1)) * [exit]simplify: Simplified to (cbrt (/ 1 1)) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 319 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) 2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 320 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (cos th) 2) (cos th)) (/ (cos th) (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (* (* (/ (cos th) 2) (cos th)) (/ (cos th) (cbrt (sqrt 2))))) * * * * [misc]progress: [ 321 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (cos th) 2) (cos th)) (/ (cos th) (sqrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (* (* (/ (cos th) 2) (cos th)) (/ (cos th) (sqrt (sqrt 2))))) * * * * [misc]progress: [ 322 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 1)) * [exit]simplify: Simplified to (cbrt (/ 1 1)) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 323 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) (/ (/ (cos th) 2) (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (* (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) (/ (/ (cos th) 2) (cbrt (sqrt 2))))) * * * * [misc]progress: [ 324 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (cos th) 2) (cos th)) (/ (cos th) (sqrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (* (* (/ (cos th) 2) (cos th)) (/ (cos th) (sqrt (sqrt 2))))) * * * * [misc]progress: [ 325 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) (sqrt 2))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt 2))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ 1 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (cbrt (* (* (cos th) (cos th)) (/ (cos th) 2))) * [exit]simplify: Simplified to (cbrt (* (* (cos th) (cos th)) (/ (cos th) 2))) * * * * [misc]progress: [ 326 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) (+ 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 327 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow 1 3) (+ 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 328 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cos th) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) (cbrt (* 2 (sqrt 2)))) (cbrt (* 2 (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (/ (cos th) (cbrt (* 2 (sqrt 2)))) (cbrt (* 2 (sqrt 2))))) * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (cbrt (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (cbrt (+ (sqrt 2) (sqrt 2))))) * * * * [misc]progress: [ 329 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cos th) (sqrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt (* 2 (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt (* 2 (sqrt 2))))) * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) (sqrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (sqrt (+ (sqrt 2) (sqrt 2))))) * * * * [misc]progress: [ 330 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cos th) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) 1)) * [exit]simplify: Simplified to (cbrt (/ (cos th) 1)) * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 331 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cos th) 2)) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) 2)) * [exit]simplify: Simplified to (cbrt (/ (cos th) 2)) * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) (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 (/ (cos th) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 332 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (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 (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) 2))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (cbrt (sqrt 2))) (/ (cos th) 2))) * * * * [misc]progress: [ 333 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cos th) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) 2))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) 2))) * * * * [misc]progress: [ 334 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cos th) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) 1)) * [exit]simplify: Simplified to (cbrt (/ (cos th) 1)) * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 335 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cos th) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cos th) 2) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (* (/ (cos th) 2) (cos th)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * * * [misc]progress: [ 336 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cos th) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) 2))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) (sqrt (sqrt 2))) (/ (cos th) 2))) * * * * [misc]progress: [ 337 / 384 ] simplifiying candidate # * [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))) * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) (+ 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (cos th))) * [exit]simplify: Simplified to (cbrt (* (/ (cos th) 2) (cos th))) * * * * [misc]progress: [ 338 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cos th) (+ 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) 2)) * [exit]simplify: Simplified to (cbrt (/ (cos th) 2)) * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) (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 (/ (cos th) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 339 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cos th) (+ 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) 2)) * [exit]simplify: Simplified to (cbrt (/ (cos th) 2)) * [enter]simplify: Simplifying (cbrt (/ (* (cos th) (cos th)) (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 (/ (cos th) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (cos th) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 340 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (* (cbrt (* (sqrt 2) 2)) (cbrt (* (sqrt 2) 2))))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (* (cbrt (* (sqrt 2) 2)) (cbrt (* (sqrt 2) 2))))) * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (cbrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (cbrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (cbrt (* (sqrt 2) 2)))) * * * * [misc]progress: [ 341 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt (* (sqrt 2) 2)))) * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt (* (sqrt 2) 2)))) * * * * [misc]progress: [ 342 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) 1)) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) 1)) * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (* (sqrt 2) 2))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (* (sqrt 2) 2))) * * * * [misc]progress: [ 343 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) 2)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) 2)) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) 2)) * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2))) * * * * [misc]progress: [ 344 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (* 2 (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (* 2 (cbrt (sqrt 2))))) * * * * [misc]progress: [ 345 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (* 2 (sqrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (* 2 (sqrt (sqrt 2))))) * * * * [misc]progress: [ 346 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) 1)) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) 1)) * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (* (sqrt 2) 2))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (* (sqrt 2) 2))) * * * * [misc]progress: [ 347 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (pow (cos th) 3)) (cbrt (sqrt 2))) (* 2 (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt (pow (cos th) 3)) (cbrt (sqrt 2))) (* 2 (cbrt (sqrt 2))))) * * * * [misc]progress: [ 348 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (* 2 (sqrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (* 2 (sqrt (sqrt 2))))) * * * * [misc]progress: [ 349 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2))) * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (+ 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) 2)) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) 2)) * * * * [misc]progress: [ 350 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (+ 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) 2)) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) 2)) * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2))) * * * * [misc]progress: [ 351 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (+ 1 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) 2)) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) 2)) * [enter]simplify: Simplifying (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (pow (cos th) 3)) (sqrt 2))) * * * * [misc]progress: [ 352 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (+ (sqrt 2) (sqrt 2))) (cbrt (+ (sqrt 2) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (* (cbrt (* (sqrt 2) 2)) (cbrt (* (sqrt 2) 2))))) * [exit]simplify: Simplified to (cbrt (/ 1 (* (cbrt (* (sqrt 2) 2)) (cbrt (* (sqrt 2) 2))))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (cbrt (+ (sqrt 2) (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) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (cbrt (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (cbrt (+ (sqrt 2) (sqrt 2))))) * * * * [misc]progress: [ 353 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (* (sqrt 2) 2)))) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (* (sqrt 2) 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (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) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (sqrt (+ (sqrt 2) (sqrt 2))))) * * * * [misc]progress: [ 354 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 355 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 2)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 356 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (sqrt 2))) (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (cbrt (sqrt 2)) (cbrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (cos th) 2) (cos th)) (/ (cos th) (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (* (* (/ (cos th) 2) (cos th)) (/ (cos th) (cbrt (sqrt 2))))) * * * * [misc]progress: [ 357 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (cos th) 2) (cos th)) (/ (cos th) (sqrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (* (* (/ (cos th) 2) (cos th)) (/ (cos th) (sqrt (sqrt 2))))) * * * * [misc]progress: [ 358 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 359 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (cbrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ 1 (cbrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt (sqrt 2)) (cbrt (sqrt 2)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (165 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) (/ (/ (cos th) 2) (cbrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (* (/ (* (cos th) (cos th)) (cbrt (sqrt 2))) (/ (/ (cos th) 2) (cbrt (sqrt 2))))) * * * * [misc]progress: [ 360 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (sqrt 2)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (sqrt 2)))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (sqrt (sqrt 2)) (sqrt (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (* (* (/ (cos th) 2) (cos th)) (/ (cos th) (sqrt (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (* (* (/ (cos th) 2) (cos th)) (/ (cos th) (sqrt (sqrt 2))))) * * * * [misc]progress: [ 361 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt 2))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt 2))) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ 1 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (cbrt (* (* (cos th) (cos th)) (/ (cos th) 2))) * [exit]simplify: Simplified to (cbrt (* (* (cos th) (cos th)) (/ (cos th) 2))) * * * * [misc]progress: [ 362 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (+ 1 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 363 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (+ 1 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [exit]simplify: Simplified to (cbrt (/ 1 2)) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (sqrt 2))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th)))) * [exit]simplify: Simplified to (cbrt (/ (* (cos th) (cos th)) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 364 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) * * * * [misc]progress: [ 365 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (cos th) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (cos th) * [exit]simplify: Simplified to (cos th) * [enter]simplify: Simplifying (cbrt (/ 1 (+ (sqrt 2) (sqrt 2)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 2) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (/ (/ 1 2) (sqrt 2))) * * * * [misc]progress: [ 366 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (+ (pow (sqrt 2) 3) (pow (sqrt 2) 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (* (sqrt 2) (+ 2 2)))) * [exit]simplify: Simplified to (cbrt (/ (pow (cos th) 3) (* (sqrt 2) (+ 2 2)))) * [enter]simplify: Simplifying (cbrt (+ (* (sqrt 2) (sqrt 2)) (- (* (sqrt 2) (sqrt 2)) (* (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt 2) * [exit]simplify: Simplified to (cbrt 2) * * * * [misc]progress: [ 367 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (pow (cos th) 3) (- (* (sqrt 2) (sqrt 2)) (* (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos th) 0)) * [exit]simplify: Simplified to (cbrt (/ (cos th) 0)) * [enter]simplify: Simplifying (cbrt (- (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt 0) * [exit]simplify: Simplified to (cbrt 0) * * * * [misc]progress: [ 368 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (pow (cos th) 3)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (cos th) * [exit]simplify: Simplified to (cos th) * [enter]simplify: Simplifying (cbrt (+ (sqrt 2) (sqrt 2))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt 2) (sqrt 2))) * [exit]simplify: Simplified to (cbrt (+ (sqrt 2) (sqrt 2))) * * * * [misc]progress: [ 369 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) (cbrt (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) (cbrt (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) (cbrt (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (cbrt (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * * * [misc]progress: [ 370 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (101 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: [ 371 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2))))) * * * * [misc]progress: [ 372 / 384 ] simplifiying candidate # * * * * [misc]progress: [ 373 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (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 (29 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (fma a2 (fma (- (* (pow th 4) (/ 1/24 (sqrt 2))) (* (/ th (sqrt 2)) (* 1/2 th))) a2 (/ a2 (sqrt 2))) (* (* a1 a1) (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))))) * * * * [misc]progress: [ 374 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (fma (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) (* a1 a1) (/ (* a2 (cos th)) (/ (sqrt 2) a2))) * * * * [misc]progress: [ 375 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (fma (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) (* a1 a1) (/ (* a2 (cos th)) (/ (sqrt 2) a2))) * * * * [misc]progress: [ 376 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cbrt (- (+ (* 1/2 (/ 1 (sqrt 2))) (* 7/16 (/ (pow th 4) (sqrt 2)))) (* 3/4 (/ (pow th 2) (sqrt 2))))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (fma (cbrt (- (fma (/ (pow th 4) (sqrt 2)) 7/16 (/ 1/2 (sqrt 2))) (/ (* 3/4 th) (/ (sqrt 2) th)))) (* a1 a1) (/ (* (cos th) a2) (/ (sqrt 2) a2))) * * * * [misc]progress: [ 377 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cbrt (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (fma (cbrt (/ (pow (cos th) 3) (/ (sqrt 2) 1/2))) (* a1 a1) (* (/ (* a2 a2) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 378 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cbrt (* 1/2 (/ (pow (cos th) 3) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (fma (cbrt (/ (pow (cos th) 3) (/ (sqrt 2) 1/2))) (* a1 a1) (* (/ (* a2 a2) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 379 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cbrt (/ (- (+ 1 (* 7/8 (pow th 4))) (* 3/2 (pow th 2))) (+ (sqrt 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 (78 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (fma (cbrt (/ (- (fma (pow th 4) 7/8 1) (* (* th th) 3/2)) (+ (sqrt 2) (sqrt 2)))) (* a1 a1) (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * * * * [misc]progress: [ 380 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (fma (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) (* a1 a1) (/ (* a2 (cos th)) (/ (sqrt 2) a2))) * * * * [misc]progress: [ 381 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (fma (cbrt (/ (pow (cos th) 3) (+ (sqrt 2) (sqrt 2)))) (* a1 a1) (/ (* a2 (cos th)) (/ (sqrt 2) a2))) * * * * [misc]progress: [ 382 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (- (+ (* 1/24 (* (pow th 4) (pow (/ 1/2 (sqrt 2)) 1/3))) (pow (/ 1/2 (sqrt 2)) 1/3)) (* 1/2 (* (pow th 2) (pow (/ 1/2 (sqrt 2)) 1/3)))) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (fma (fma (cbrt (/ 1/2 (sqrt 2))) (- (* (pow th 4) 1/24) (* 1/2 (* th th))) (cbrt (/ 1/2 (sqrt 2)))) (* a1 a1) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * * * [misc]progress: [ 383 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (pow (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) 1/3) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (fma (cbrt (/ (pow (cos th) 3) (/ (sqrt 2) 1/2))) (* a1 a1) (/ (* (* a2 a2) (cos th)) (sqrt 2))) * * * * [misc]progress: [ 384 / 384 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (pow (* 1/2 (/ (pow (cos th) 3) (sqrt 2))) 1/3) (* a1 a1)) (* (/ (cos th) (sqrt 2)) (* a2 a2))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (fma (cbrt (/ (pow (cos th) 3) (/ (sqrt 2) 1/2))) (* a1 a1) (/ (* (* a2 a2) (cos th)) (sqrt 2))) * * * [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 / 124 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 2 / 124 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 3 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 124 ] 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: [ 5 / 124 ] 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: [ 6 / 124 ] 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: [ 7 / 124 ] 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: [ 8 / 124 ] 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: [ 9 / 124 ] 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: [ 10 / 124 ] 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: [ 11 / 124 ] 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: [ 12 / 124 ] 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: [ 13 / 124 ] 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: [ 14 / 124 ] 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: [ 15 / 124 ] 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: [ 16 / 124 ] 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: [ 17 / 124 ] 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: [ 18 / 124 ] 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: [ 19 / 124 ] 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: [ 20 / 124 ] 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: [ 21 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 124 ] 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: [ 23 / 124 ] 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: [ 24 / 124 ] 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: [ 25 / 124 ] 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: [ 26 / 124 ] 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: [ 27 / 124 ] 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: [ 28 / 124 ] 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: [ 29 / 124 ] 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: [ 30 / 124 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (expm1 (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 31 / 124 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (cos th) (sqrt 2))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * [exit]simplify: Simplified to (log1p (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 32 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 124 ] 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: [ 34 / 124 ] 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: [ 35 / 124 ] 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: [ 36 / 124 ] 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: [ 37 / 124 ] 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: [ 38 / 124 ] 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: [ 39 / 124 ] 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: [ 40 / 124 ] 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: [ 41 / 124 ] 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: [ 42 / 124 ] 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: [ 43 / 124 ] 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: [ 44 / 124 ] 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: [ 45 / 124 ] 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: [ 46 / 124 ] 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: [ 47 / 124 ] 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: [ 48 / 124 ] 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: [ 49 / 124 ] 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: [ 50 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 124 ] 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: [ 52 / 124 ] 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: [ 53 / 124 ] 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: [ 54 / 124 ] 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: [ 55 / 124 ] 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: [ 56 / 124 ] 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: [ 57 / 124 ] 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: [ 58 / 124 ] 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: [ 59 / 124 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ (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 (expm1 (* (/ a1 (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (expm1 (* (/ a1 (sqrt 2)) (cos th))) * * * * [misc]progress: [ 60 / 124 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ (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 (log1p (* (/ a1 (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (log1p (* (/ a1 (sqrt 2)) (cos th))) * * * * [misc]progress: [ 61 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 124 ] 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: [ 63 / 124 ] 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: [ 64 / 124 ] 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: [ 65 / 124 ] 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: [ 66 / 124 ] 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: [ 67 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 124 ] 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: [ 69 / 124 ] 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: [ 70 / 124 ] 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: [ 71 / 124 ] 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: [ 72 / 124 ] 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: [ 73 / 124 ] 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: [ 74 / 124 ] 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: [ 75 / 124 ] 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: [ 76 / 124 ] 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: [ 77 / 124 ] 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: [ 78 / 124 ] 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: [ 79 / 124 ] 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: [ 80 / 124 ] 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: [ 81 / 124 ] 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: [ 82 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 124 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ (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 (expm1 (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * [exit]simplify: Simplified to (expm1 (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * * * * [misc]progress: [ 84 / 124 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ (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 (log1p (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * [exit]simplify: Simplified to (log1p (/ (cos th) (/ (sqrt 2) (* a2 a2)))) * * * * [misc]progress: [ 85 / 124 ] 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: [ 86 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 124 ] 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 (31 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (- (fma (log a2) 2 (log (cos th))) (log (sqrt 2))) * [exit]simplify: Simplified to (- (fma (log a2) 2 (log (cos th))) (log (sqrt 2))) * * * * [misc]progress: [ 88 / 124 ] 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 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (fma (log a2) 2 (log (/ (cos th) (sqrt 2)))) * [exit]simplify: Simplified to (fma (log a2) 2 (log (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 89 / 124 ] 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 (70 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (log (* (/ (* a2 a2) (sqrt 2)) (cos th))) * [exit]simplify: Simplified to (log (* (/ (* a2 a2) (sqrt 2)) (cos th))) * * * * [misc]progress: [ 90 / 124 ] 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: [ 91 / 124 ] 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: [ 92 / 124 ] 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: [ 93 / 124 ] 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: [ 94 / 124 ] 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: [ 95 / 124 ] 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: [ 96 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 124 ] 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: [ 98 / 124 ] 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: [ 99 / 124 ] 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: [ 100 / 124 ] 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: [ 101 / 124 ] 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: [ 102 / 124 ] 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: [ 103 / 124 ] 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: [ 104 / 124 ] 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: [ 105 / 124 ] 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: [ 106 / 124 ] 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: [ 107 / 124 ] 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: [ 108 / 124 ] 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: [ 109 / 124 ] 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: [ 110 / 124 ] 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: [ 111 / 124 ] 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: [ 112 / 124 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 124 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (fma (- (fma (/ (pow th 4) (sqrt 2)) 1/24 (/ 1 (sqrt 2))) (* (/ th (sqrt 2)) (* 1/2 th))) (* a2 a2) (* (* a1 (cos th)) (/ a1 (sqrt 2)))) * * * * [misc]progress: [ 114 / 124 ] 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 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 115 / 124 ] 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 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 116 / 124 ] 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 (46 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (fma (* a1 a1) (- (fma (/ (pow th 4) (sqrt 2)) 1/24 (/ 1 (sqrt 2))) (* (/ (* 1/2 th) (sqrt 2)) th)) (/ (* a2 a2) (/ (sqrt 2) (cos th)))) * * * * [misc]progress: [ 117 / 124 ] 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 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 118 / 124 ] 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 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2))) * * * * [misc]progress: [ 119 / 124 ] 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 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (fma (- (/ a1 (sqrt 2)) (/ (* (* th 1/2) (* th a1)) (sqrt 2))) a1 (* (* a2 a2) (/ (cos th) (sqrt 2)))) * * * * [misc]progress: [ 120 / 124 ] 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 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a2 a2 (* a1 a1))) * * * * [misc]progress: [ 121 / 124 ] 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 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a2 a2 (* a1 a1))) * * * * [misc]progress: [ 122 / 124 ] 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 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (- (fma (* a1 a1) (/ (cos th) (sqrt 2)) (/ (* a2 a2) (sqrt 2))) (/ (* (* th a2) (* th a2)) (/ (sqrt 2) 1/2))) * * * * [misc]progress: [ 123 / 124 ] 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 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2))) * * * * [misc]progress: [ 124 / 124 ] 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 (24 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (* (/ (cos th) (sqrt 2)) (fma a1 a1 (* a2 a2))) * * * [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 (* (cos th) (* a2 a2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (* a2 a2) (cos th)) * [exit]simplify: Simplified to (* (* a2 a2) (cos th))