* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (* PI l) (* (/ (sqr F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (* l PI) (* (tan (* l PI)) (/ (sqr F)))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (tan (* PI l)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/6 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (sqr PI))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow PI 3))) 1) (+ (* PI (/ (- (* 1/2 (sqr PI))) 1)) (* 0 (/ 0 1)))) into (* 1/3 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/3 (pow PI 3)) into (* 1/3 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (sqr PI))) 1)) (* (* 1/3 (pow PI 3)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 5) 120)) 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow PI 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 4) 24)) 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (- (/ (* 1/120 (pow PI 5)) 1) (+ (* PI (/ (* 1/24 (pow PI 4)) 1)) (* 0 (/ 0 1)) (* (* 1/3 (pow PI 3)) (/ (- (* 1/2 (sqr PI))) 1)) (* 0 (/ 0 1)))) into (* 2/15 (pow PI 5)) * [misc]backup-simplify: Simplify (* 2/15 (pow PI 5)) into (* 2/15 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 2/15 (pow PI 5)) (pow l 5)) (+ (* (* 1/3 (pow PI 3)) (pow l 3)) (* PI l))) into (+ (* 1/3 (* (pow PI 3) (pow l 3))) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* PI (/ 1 l))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (sin (* PI (/ 1 l))) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (sin (* PI (/ 1 l))) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]approximate: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* PI (/ 1 (- l)))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* PI (/ 1 (- l)))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (/ (sqr F)) (tan (* PI l))) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqr F)) (tan (* PI l))) in l * [misc]taylor: Taking taylor expansion of (/ (sqr F)) in l * [misc]taylor: Taking taylor expansion of (sqr F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* F F) into (sqr F) * [misc]backup-simplify: Simplify (/ 1 (sqr F)) into (/ 1 (sqr F)) * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* (/ (sqr F)) (tan (* PI l))) in F * [misc]taylor: Taking taylor expansion of (/ (sqr F)) in F * [misc]taylor: Taking taylor expansion of (sqr F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in F * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in F * [misc]taylor: Taking taylor expansion of (* PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in F * [misc]taylor: Taking taylor expansion of (* PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify (* (sin (* PI l)) 1) into (sin (* PI l)) * [misc]backup-simplify: Simplify (* (cos (* PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* PI l)) 0) into (sin (* PI l)) * [misc]backup-simplify: Simplify (* (cos (* PI l)) 1) into (cos (* PI l)) * [misc]backup-simplify: Simplify (* (sin (* PI l)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* PI l)) 0) into (cos (* PI l)) * [misc]backup-simplify: Simplify (/ (sin (* PI l)) (cos (* PI l))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (* (/ (sqr F)) (tan (* PI l))) in F * [misc]taylor: Taking taylor expansion of (/ (sqr F)) in F * [misc]taylor: Taking taylor expansion of (sqr F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan (* PI l)) in F * [misc]taylor: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in F * [misc]taylor: Taking taylor expansion of (* PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in F * [misc]taylor: Taking taylor expansion of (* PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify (* (sin (* PI l)) 1) into (sin (* PI l)) * [misc]backup-simplify: Simplify (* (cos (* PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* PI l)) 0) into (sin (* PI l)) * [misc]backup-simplify: Simplify (* (cos (* PI l)) 1) into (cos (* PI l)) * [misc]backup-simplify: Simplify (* (sin (* PI l)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* PI l)) 0) into (cos (* PI l)) * [misc]backup-simplify: Simplify (/ (sin (* PI l)) (cos (* PI l))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]backup-simplify: Simplify (* 1 (/ (sin (* PI l)) (cos (* PI l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (/ (sin (* PI l)) (cos (* PI l))) in l * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 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 (cos (* PI l))) (+ (* (/ (sin (* PI l)) (cos (* PI l))) (/ 0 (cos (* PI l)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ (sin (* PI l)) (cos (* PI l))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) 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 (+ (* (sin (* PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 l))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 l))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 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 (cos (* PI l))) (+ (* (/ (sin (* PI l)) (cos (* PI l))) (/ 0 (cos (* PI l)))) (* 0 (/ 0 (cos (* PI l)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (* PI l)) (cos (* PI l)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/6 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (sqr PI))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow PI 3))) 1) (+ (* PI (/ (- (* 1/2 (sqr PI))) 1)) (* 0 (/ 0 1)))) into (* 1/3 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/3 (pow PI 3)) into (* 1/3 (pow PI 3)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (* PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 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 (cos (* PI l))) (+ (* (/ (sin (* PI l)) (cos (* PI l))) (/ 0 (cos (* PI l)))) (* 0 (/ 0 (cos (* PI l)))) (* 0 (/ 0 (cos (* PI l)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (* PI l)) (cos (* PI l))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (sqr PI))) 1)) (* (* 1/3 (pow PI 3)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 l))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 l))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 0) (+ (* 0 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 (cos (* PI l))) (+ (* (/ (sin (* PI l)) (cos (* PI l))) (/ 0 (cos (* PI l)))) (* 0 (/ 0 (cos (* PI l)))) (* 0 (/ 0 (cos (* PI l)))) (* 0 (/ 0 (cos (* PI l)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (* PI l)) (cos (* PI l)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 (+ (* (* 1/3 (pow PI 3)) (* (pow l 3) (/ 1 (sqr F)))) (* PI (* l (/ 1 (sqr F))))) into (+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) (sqr F))) (/ (* PI l) (sqr F))) * [misc]approximate: Taking taylor expansion of (* (/ (sqr (/ 1 F))) (tan (* PI (/ 1 l)))) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqr (/ 1 F))) (tan (* PI (/ 1 l)))) in l * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 F))) in l * [misc]taylor: Taking taylor expansion of (sqr (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (/ 1 F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 1 F)) into (/ 1 (sqr F)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (sqr F))) into (sqr F) * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (sin (* PI (/ 1 l))) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (* (/ (sqr (/ 1 F))) (tan (* PI (/ 1 l)))) in F * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (sqr (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in F * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (sin (/ PI l)) 1) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ PI l)) 0) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 1) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (* (sin (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ PI l)) 0) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (* (/ (sqr (/ 1 F))) (tan (* PI (/ 1 l)))) in F * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (sqr (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 l))) in F * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 l))) (cos (* PI (/ 1 l)))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (sin (/ PI l)) 1) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ PI l)) 0) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 1) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (* (sin (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ PI l)) 0) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (* 1 (/ (sin (/ PI l)) (cos (/ PI l)))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (sin (/ PI l)) (cos (/ PI l))) in l * [misc]taylor: Taking taylor expansion of (sin (/ PI l)) in l * [misc]taylor: Taking taylor expansion of (/ PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (/ PI l)) in l * [misc]taylor: Taking taylor expansion of (/ PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (/ 1 l))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (/ 1 l))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 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 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ (sin (/ PI l)) (cos (/ PI l))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))))) 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 (+ (* (sin (/ PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (/ 1 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (/ 1 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 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 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (/ PI l)) (cos (/ PI l)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) 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 (+ (* (sin (/ PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (/ PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 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 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (/ PI l)) (cos (/ PI l))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (sin (/ PI l)) (cos (/ PI l))) (sqr (* 1 (/ 1 F)))) into (/ (sin (/ PI l)) (* (sqr F) (cos (/ PI l)))) * [misc]approximate: Taking taylor expansion of (* (/ (sqr (/ 1 (- F)))) (tan (* PI (/ 1 (- l))))) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqr (/ 1 (- F)))) (tan (* PI (/ 1 (- l))))) in l * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 (- F)))) in l * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in l * [misc]taylor: Taking taylor expansion of (- F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (/ 1 (- F)) into (/ -1 F) * [misc]backup-simplify: Simplify (* (/ -1 F) (/ -1 F)) into (/ 1 (sqr F)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (sqr F))) into (sqr F) * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in l * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* PI (/ 1 (- l)))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (* (/ (sqr (/ 1 (- F)))) (tan (* PI (/ 1 (- l))))) in F * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in F * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (* PI (/ -1 l)) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (* PI (/ -1 l)) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (sin (* -1 (/ PI l))) 1) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1 (/ PI l))) 0) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) 1) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (sin (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1 (/ PI l))) 0) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (* (/ (sqr (/ 1 (- F)))) (tan (* PI (/ 1 (- l))))) in F * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan (* PI (/ 1 (- l)))) in F * [misc]taylor: Rewrote expression to (/ (sin (* PI (/ 1 (- l)))) (cos (* PI (/ 1 (- l))))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (* PI (/ -1 l)) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (* PI (/ -1 l)) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (sin (* -1 (/ PI l))) 1) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1 (/ PI l))) 0) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) 1) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (sin (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1 (/ PI l))) 0) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (* 1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) in l * [misc]taylor: Taking taylor expansion of (sin (* -1 (/ PI l))) in l * [misc]taylor: Taking taylor expansion of (* -1 (/ PI l)) in l * [misc]taylor: Taking taylor expansion of -1 in l * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* -1 (/ PI l))) in l * [misc]taylor: Taking taylor expansion of (* -1 (/ PI l)) in l * [misc]taylor: Taking taylor expansion of -1 in l * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (/ -1 l))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (/ -1 l))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 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 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))))) 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 (+ (* (sin (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (/ -1 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (/ -1 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 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 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))))) 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 (+ (* (sin (* -1 (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))) (* 0 (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))) (* 0 (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 l))))) 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 (/ PI l))) 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 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (sqr (* 1 (/ 1 (- F))))) into (/ (sin (* -1 (/ PI l))) (* (sqr F) (cos (* -1 (/ PI l))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ (sqr F)) in (F) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqr F)) in F * [misc]taylor: Taking taylor expansion of (sqr F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqr F)) in F * [misc]taylor: Taking taylor expansion of (sqr F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (/ 1 F))) into (/ 1 (sqr F)) * [misc]approximate: Taking taylor expansion of (/ (sqr (/ 1 F))) in (F) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (sqr (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (sqr (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (/ 1 F))) into (/ 1 (sqr F)) * [misc]approximate: Taking taylor expansion of (/ (sqr (/ 1 (- F)))) in (F) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (/ 1 (- F)))) into (/ 1 (sqr F)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (* PI l) in (l) around 0 * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]approximate: Taking taylor expansion of (* PI (/ 1 l)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 (/ 1 l))) into (* PI l) * [misc]approximate: Taking taylor expansion of (* PI (/ 1 (- l))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (/ 1 (- l)))) into (* PI l) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (/ (sqr F)) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (* PI l))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (- (- (* l PI) (* (* 1/3 (/ (sqr F))) (* (cube PI) (cube l)))) (* (+ (* l PI) (* (pow PI 5) (* (pow l 5) 2/15))) (/ (sqr F)))) * * * * [misc]progress: [ 2 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (/ (sqr F)) (/ (sin (/ PI l)) (cos (/ PI l))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (* (/ (sqr F)) (sin (/ PI l))) (cos (/ PI l)))) * * * * [misc]progress: [ 3 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (/ (sqr F)) (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (- (/ (sqr F))) (/ (cos (/ PI l)) (sin (/ PI l))))) * * * * [misc]progress: [ 4 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) (sqr F))) (/ (* PI l) (sqr F)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (465 enodes) * [exit]simplify: Simplified to (- (* l PI) (+ (/ (* (* 1/3 l) (sqr l)) (/ (sqr F) (cube PI))) (/ (/ PI F) (/ F l)))) * * * * [misc]progress: [ 5 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (sin (/ PI l)) (* (sqr F) (cos (/ PI l))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (/ (sin (/ PI l)) (* F F)) (cos (/ PI l)))) * * * * [misc]progress: [ 6 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (sin (* -1 (/ PI l))) (* (sqr F) (cos (* -1 (/ PI l)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (- (sin (/ PI l))) (* (* F F) (cos (/ PI l))))) * * * * [misc]progress: [ 7 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (/ 1 (sqr F)) (tan (* PI l)))) * * [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 (34 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (tan (* l PI)) (* F F))) * * * * [misc]progress: [ 8 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (/ 1 (sqr F)) (tan (* PI l)))) * * [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 (34 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (tan (* l PI)) (* F F))) * * * * [misc]progress: [ 9 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (/ 1 (sqr F)) (tan (* PI l)))) * * [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 (34 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (tan (* l PI)) (* F F))) * * * * [misc]progress: [ 10 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (/ (sqr F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (* l PI) (* (tan (* l PI)) (/ (sqr F)))) * * * * [misc]progress: [ 11 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (/ (sqr F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (* l PI) (* (tan (* l PI)) (/ (sqr F)))) * * * * [misc]progress: [ 12 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (* (/ (sqr F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (* l PI) (* (tan (* l PI)) (/ (sqr F)))) * * * * [misc]progress: [ 13 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* l PI)) * [exit]simplify: Simplified to (sin (* l PI)) * [enter]simplify: Simplifying (cos (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* l PI)) * [exit]simplify: Simplified to (cos (* l PI)) * * * * [misc]progress: [ 14 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (* l PI))) * [exit]simplify: Simplified to (log (tan (* l PI))) * * * * [misc]progress: [ 16 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (* l PI))) * [exit]simplify: Simplified to (exp (tan (* l PI))) * * * * [misc]progress: [ 17 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* l PI))) * [exit]simplify: Simplified to (cbrt (tan (* l PI))) * * * * [misc]progress: [ 18 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cube (tan (* l PI))) * [exit]simplify: Simplified to (cube (tan (* l PI))) * * * * [misc]progress: [ 19 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* l PI))) * [exit]simplify: Simplified to (sqrt (tan (* l PI))) * * * * [misc]progress: [ 20 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqr F)) (tan (* PI l))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (/ (* F F)) (tan (* PI l))) * [exit]simplify: Simplified to (* (/ (* F F)) (tan (* PI l))) * * * * [misc]progress: [ 22 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (sqr F))) (log (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (log (tan (* l PI))) (log (/ (* F F)))) * [exit]simplify: Simplified to (+ (log (tan (* l PI))) (log (/ (* F F)))) * * * * [misc]progress: [ 24 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (sqr F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (log (* (/ (* F F)) (tan (* PI l)))) * [exit]simplify: Simplified to (log (* (/ (* F F)) (tan (* PI l)))) * * * * [misc]progress: [ 25 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (sqr F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (exp (* (/ (* F F)) (tan (* PI l)))) * [exit]simplify: Simplified to (exp (* (/ (* F F)) (tan (* PI l)))) * * * * [misc]progress: [ 26 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (/ (sqr F))) (cube (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (cube (tan (* l PI))) (cube (/ (* F F)))) * [exit]simplify: Simplified to (* (cube (tan (* l PI))) (cube (/ (* F F)))) * * * * [misc]progress: [ 27 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ (sqr F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (* F F)) (tan (* PI l)))) * [exit]simplify: Simplified to (cbrt (* (/ (* F F)) (tan (* PI l)))) * * * * [misc]progress: [ 28 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (/ (sqr F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (cube (* (/ (* F F)) (tan (* PI l)))) * [exit]simplify: Simplified to (cube (* (/ (* F F)) (tan (* PI l)))) * * * * [misc]progress: [ 29 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqr F))) (cbrt (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* l PI))) (cbrt (/ (* F F)))) * [exit]simplify: Simplified to (* (cbrt (tan (* l PI))) (cbrt (/ (* F F)))) * * * * [misc]progress: [ 30 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (sqr F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (* F F)) (tan (* PI l)))) * [exit]simplify: Simplified to (sqrt (* (/ (* F F)) (tan (* PI l)))) * * * * [misc]progress: [ 31 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (sqr F))) (sqrt (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (tan (* l PI))) (sqrt (/ (* F F)))) * [exit]simplify: Simplified to (* (sqrt (tan (* l PI))) (sqrt (/ (* F F)))) * * * * [misc]progress: [ 32 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqr F)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (* F F)) * [exit]simplify: Simplified to (/ (* F F)) * * * * [misc]progress: [ 34 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqr F)) (tan (* PI l))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (/ (* F F)) (tan (* PI l))) * [exit]simplify: Simplified to (* (/ (* F F)) (tan (* PI l))) * * * * [misc]progress: [ 35 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqr F)) (sin (* PI l))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (/ (* F F)) (sin (* PI l))) * [exit]simplify: Simplified to (* (/ (* F F)) (sin (* PI l))) * * * * [misc]progress: [ 36 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqr F))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (log (/ (* F F))) * [exit]simplify: Simplified to (log (/ (* F F))) * * * * [misc]progress: [ 39 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqr F))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (exp (/ (* F F))) * [exit]simplify: Simplified to (exp (/ (* F F))) * * * * [misc]progress: [ 40 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqr F))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (* F F))) * [exit]simplify: Simplified to (cbrt (/ (* F F))) * * * * [misc]progress: [ 41 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (sqr F))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (cube (/ (* F F))) * [exit]simplify: Simplified to (cube (/ (* F F))) * * * * [misc]progress: [ 42 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqr F))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (* F F))) * [exit]simplify: Simplified to (sqrt (/ (* F F))) * * * * [misc]progress: [ 43 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (log (* l PI)) * [exit]simplify: Simplified to (log (* l PI)) * * * * [misc]progress: [ 46 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* l PI)) * [exit]simplify: Simplified to (exp (* l PI)) * * * * [misc]progress: [ 47 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* l PI)) * [exit]simplify: Simplified to (cbrt (* l PI)) * * * * [misc]progress: [ 48 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (cube (* l PI)) * [exit]simplify: Simplified to (cube (* l PI)) * * * * [misc]progress: [ 49 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* PI l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* l PI)) * [exit]simplify: Simplified to (sqrt (* l PI)) * * * * [misc]progress: [ 50 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 51 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (sin (* PI l)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/6 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 1/6 (pow PI 3))) into (- (* 1/6 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 5) 120)) 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow PI 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/120 (pow PI 5)) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 1/120 (pow PI 5)) (pow l 5)) (+ (* (- (* 1/6 (pow PI 3))) (pow l 3)) (* PI l))) into (- (+ (* 1/120 (* (pow PI 5) (pow l 5))) (* PI l)) (* 1/6 (* (pow PI 3) (pow l 3)))) * [misc]approximate: Taking taylor expansion of (sin (* PI (/ 1 l))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (sin (* PI (/ 1 l))) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (sin (* PI (/ 1 l))) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]approximate: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* PI (/ 1 (- l)))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* PI (/ 1 (- l)))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cos (* PI l)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]taylor: Taking taylor expansion of (cos (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (sqr PI))) * [misc]backup-simplify: Simplify (- (* 1/2 (sqr PI))) into (- (* 1/2 (sqr PI))) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 4) 24)) 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (* 1/24 (pow PI 4)) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (pow PI 4)) (pow l 4)) (+ (* (- (* 1/2 (sqr PI))) (sqr l)) 1)) into (- (+ 1 (* 1/24 (* (pow PI 4) (pow l 4)))) (* 1/2 (* (sqr PI) (sqr l)))) * [misc]approximate: Taking taylor expansion of (cos (* PI (/ 1 l))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (cos (* PI (/ 1 l))) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]approximate: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* PI (/ 1 (- l)))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (/ (sqr F)) (sin (* PI l))) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqr F)) (sin (* PI l))) in l * [misc]taylor: Taking taylor expansion of (/ (sqr F)) in l * [misc]taylor: Taking taylor expansion of (sqr F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* F F) into (sqr F) * [misc]backup-simplify: Simplify (/ 1 (sqr F)) into (/ 1 (sqr F)) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]taylor: Taking taylor expansion of (* (/ (sqr F)) (sin (* PI l))) in F * [misc]taylor: Taking taylor expansion of (/ (sqr F)) in F * [misc]taylor: Taking taylor expansion of (sqr F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in F * [misc]taylor: Taking taylor expansion of (* PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]taylor: Taking taylor expansion of (* (/ (sqr F)) (sin (* PI l))) in F * [misc]taylor: Taking taylor expansion of (/ (sqr F)) in F * [misc]taylor: Taking taylor expansion of (sqr F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in F * [misc]taylor: Taking taylor expansion of (* PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]backup-simplify: Simplify (* (sin (* PI l)) 1) into (sin (* PI l)) * [misc]backup-simplify: Simplify (* (cos (* PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* PI l)) 0) into (sin (* PI l)) * [misc]backup-simplify: Simplify (* 1 (sin (* PI l))) into (sin (* PI l)) * [misc]taylor: Taking taylor expansion of (sin (* PI l)) in l * [misc]taylor: Taking taylor expansion of (* PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sin (* PI l)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 l))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sin (* PI l))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) 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 (+ (* (sin (* PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (* PI l)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 (* PI (* l (/ 1 (sqr F)))) into (/ (* PI l) (sqr F)) * [misc]approximate: Taking taylor expansion of (* (/ (sqr (/ 1 F))) (sin (* PI (/ 1 l)))) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqr (/ 1 F))) (sin (* PI (/ 1 l)))) in l * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 F))) in l * [misc]taylor: Taking taylor expansion of (sqr (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (/ 1 F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]backup-simplify: Simplify (* (/ 1 F) (/ 1 F)) into (/ 1 (sqr F)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (sqr F))) into (sqr F) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 (* PI 1) into PI * [misc]backup-simplify: Simplify (sin (* PI (/ 1 l))) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (* (/ (sqr (/ 1 F))) (sin (* PI (/ 1 l)))) in F * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (sqr (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (* (/ (sqr (/ 1 F))) (sin (* PI (/ 1 l)))) in F * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (sqr (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 l))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 l)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* PI (/ 1 l)) into (/ PI l) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (* (sin (/ PI l)) 1) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ PI l)) 0) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* 1 (sin (/ PI l))) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (sin (/ PI l)) in l * [misc]taylor: Taking taylor expansion of (/ PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (/ 1 l))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sin (/ PI l)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (/ 1 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ PI l))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ PI l)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ PI l)) (sqr (* 1 (/ 1 F)))) into (/ (sin (/ PI l)) (sqr F)) * [misc]approximate: Taking taylor expansion of (* (/ (sqr (/ 1 (- F)))) (sin (* PI (/ 1 (- l))))) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqr (/ 1 (- F)))) (sin (* PI (/ 1 (- l))))) in l * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 (- F)))) in l * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in l * [misc]taylor: Taking taylor expansion of (- F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (/ 1 (- F)) into (/ -1 F) * [misc]backup-simplify: Simplify (* (/ -1 F) (/ -1 F)) into (/ 1 (sqr F)) * [misc]backup-simplify: Simplify (/ 1 (/ 1 (sqr F))) into (sqr F) * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* PI (/ 1 (- l)))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (* (/ (sqr (/ 1 (- F)))) (sin (* PI (/ 1 (- l))))) in F * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (* PI (/ -1 l)) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (* (/ (sqr (/ 1 (- F)))) (sin (* PI (/ 1 (- l))))) in F * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sin (* PI (/ 1 (- l)))) in F * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (- l))) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (* PI (/ -1 l)) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (sin (* -1 (/ PI l))) 1) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1 (/ PI l))) 0) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* 1 (sin (* -1 (/ PI l)))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (sin (* -1 (/ PI l))) in l * [misc]taylor: Taking taylor expansion of (* -1 (/ PI l)) in l * [misc]taylor: Taking taylor expansion of -1 in l * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ PI l) in l * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (/ -1 l))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sin (* -1 (/ PI l))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (/ -1 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sin (* -1 (/ PI l)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [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 (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))) (* 0 (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (* -1 (/ PI l))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (* -1 (/ PI l))) (sqr (* 1 (/ 1 (- F))))) into (/ (sin (* -1 (/ PI l))) (sqr F)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ (sqr F)) in (F) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqr F)) in F * [misc]taylor: Taking taylor expansion of (sqr F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqr F)) in F * [misc]taylor: Taking taylor expansion of (sqr F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (/ 1 F))) into (/ 1 (sqr F)) * [misc]approximate: Taking taylor expansion of (/ (sqr (/ 1 F))) in (F) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (sqr (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (sqr (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (/ 1 F))) into (/ 1 (sqr F)) * [misc]approximate: Taking taylor expansion of (/ (sqr (/ 1 (- F)))) in (F) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqr (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (/ 1 (- F)))) into (/ 1 (sqr F)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (* (/ (sqr F)) (- (+ (* 1/120 (* (pow PI 5) (pow l 5))) (* PI l)) (* 1/6 (* (pow PI 3) (pow l 3))))) (cos (* PI l)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (+ (- (* l PI) (/ (* (* l PI) (/ (sqr F))) (cos (* l PI)))) (/ (- (* (* 1/6 (cube l)) (cube PI)) (* (pow PI 5) (* 1/120 (pow l 5)))) (/ (cos (* l PI)) (/ (sqr F))))) * * * * [misc]progress: [ 2 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (* (/ (sqr F)) (sin (/ PI l))) (cos (* PI l)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (* l PI) (* (/ (sin (/ PI l)) (cos (* l PI))) (/ (sqr F)))) * * * * [misc]progress: [ 3 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (* (/ (sqr F)) (sin (* -1 (/ PI l)))) (cos (* PI l)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (- (/ (sqr F))) (/ (cos (* l PI)) (sin (/ PI l))))) * * * * [misc]progress: [ 4 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (* (/ (sqr F)) (sin (* PI l))) (- (+ 1 (* 1/24 (* (pow PI 4) (pow l 4)))) (* 1/2 (* (sqr PI) (sqr l)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (* (sin (* l PI)) (/ (sqr F))) (- (+ (* (pow PI 4) (* 1/24 (pow l 4))) 1) (* 1/2 (* (* l PI) (* l PI)))))) * * * * [misc]progress: [ 5 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (* (/ (sqr F)) (sin (* PI l))) (cos (/ PI l)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (- (* l PI) (* (/ (sin (* l PI)) (cos (/ PI l))) (/ (sqr F)))) * * * * [misc]progress: [ 6 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (* (/ (sqr F)) (sin (* PI l))) (cos (* -1 (/ PI l))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (/ (sqr F)) (/ (cos (/ PI l)) (sin (* l PI))))) * * * * [misc]progress: [ 7 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (/ (* PI l) (sqr F)) (cos (* PI l)))) * * [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 (39 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (* (/ l F) (/ PI F)) (cos (* l PI)))) * * * * [misc]progress: [ 8 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (/ (sin (/ PI l)) (sqr F)) (cos (* PI l)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (/ (sin (/ PI l)) (cos (* l PI))) (* F F))) * * * * [misc]progress: [ 9 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (/ (sin (* -1 (/ PI l))) (sqr F)) (cos (* PI l)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (- (sin (/ PI l))) (* (cos (* l PI)) (* F F)))) * * * * [misc]progress: [ 10 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (* (/ 1 (sqr F)) (sin (* PI l))) (cos (* PI l)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (/ (sin (* l PI)) F) (* (cos (* l PI)) F))) * * * * [misc]progress: [ 11 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (* (/ 1 (sqr F)) (sin (* PI l))) (cos (* PI l)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (/ (sin (* l PI)) F) (* (cos (* l PI)) F))) * * * * [misc]progress: [ 12 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (* (/ 1 (sqr F)) (sin (* PI l))) (cos (* PI l)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (/ (sin (* l PI)) F) (* (cos (* l PI)) F))) * * * * [misc]progress: [ 13 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (sin (* l PI))) * [exit]simplify: Simplified to (log (sin (* l PI))) * * * * [misc]progress: [ 15 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (sin (* l PI))) * [exit]simplify: Simplified to (exp (sin (* l PI))) * * * * [misc]progress: [ 16 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sin (* l PI))) * [exit]simplify: Simplified to (cbrt (sin (* l PI))) * * * * [misc]progress: [ 17 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sin (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cube (sin (* l PI))) * [exit]simplify: Simplified to (cube (sin (* l PI))) * * * * [misc]progress: [ 18 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sin (* l PI))) * [exit]simplify: Simplified to (sqrt (sin (* l PI))) * * * * [misc]progress: [ 19 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (cos (* l PI))) * [exit]simplify: Simplified to (log (cos (* l PI))) * * * * [misc]progress: [ 22 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cos (* l PI))) * [exit]simplify: Simplified to (exp (cos (* l PI))) * * * * [misc]progress: [ 23 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cos (* l PI))) * [exit]simplify: Simplified to (cbrt (cos (* l PI))) * * * * [misc]progress: [ 24 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cos (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cube (cos (* l PI))) * [exit]simplify: Simplified to (cube (cos (* l PI))) * * * * [misc]progress: [ 25 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cos (* l PI))) * [exit]simplify: Simplified to (sqrt (cos (* l PI))) * * * * [misc]progress: [ 26 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqr F)) (sin (* PI l))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (/ (* F F)) (sin (* PI l))) * [exit]simplify: Simplified to (* (/ (* F F)) (sin (* PI l))) * * * * [misc]progress: [ 28 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (sqr F))) (log (sin (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (+ (log (sin (* l PI))) (log (/ (* F F)))) * [exit]simplify: Simplified to (+ (log (sin (* l PI))) (log (/ (* F F)))) * * * * [misc]progress: [ 30 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ (sqr F)) (sin (* PI l)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (log (* (/ (* F F)) (sin (* PI l)))) * [exit]simplify: Simplified to (log (* (/ (* F F)) (sin (* PI l)))) * * * * [misc]progress: [ 31 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ (sqr F)) (sin (* PI l)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (exp (* (/ (* F F)) (sin (* PI l)))) * [exit]simplify: Simplified to (exp (* (/ (* F F)) (sin (* PI l)))) * * * * [misc]progress: [ 32 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (/ (sqr F))) (cube (sin (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (cube (sin (* l PI))) (cube (/ (* F F)))) * [exit]simplify: Simplified to (* (cube (sin (* l PI))) (cube (/ (* F F)))) * * * * [misc]progress: [ 33 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ (sqr F)) (sin (* PI l)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (* F F)) (sin (* PI l)))) * [exit]simplify: Simplified to (cbrt (* (/ (* F F)) (sin (* PI l)))) * * * * [misc]progress: [ 34 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (/ (sqr F)) (sin (* PI l)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (cube (* (/ (* F F)) (sin (* PI l)))) * [exit]simplify: Simplified to (cube (* (/ (* F F)) (sin (* PI l)))) * * * * [misc]progress: [ 35 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqr F))) (cbrt (sin (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (sin (* l PI))) (cbrt (/ (* F F)))) * [exit]simplify: Simplified to (* (cbrt (sin (* l PI))) (cbrt (/ (* F F)))) * * * * [misc]progress: [ 36 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (sqr F)) (sin (* PI l)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (* F F)) (sin (* PI l)))) * [exit]simplify: Simplified to (sqrt (* (/ (* F F)) (sin (* PI l)))) * * * * [misc]progress: [ 37 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (sqr F))) (sqrt (sin (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (sqrt (sin (* l PI))) (sqrt (/ (* F F)))) * [exit]simplify: Simplified to (* (sqrt (sin (* l PI))) (sqrt (/ (* F F)))) * * * * [misc]progress: [ 38 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqr F)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (* F F)) * [exit]simplify: Simplified to (/ (* F F)) * * * * [misc]progress: [ 40 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqr F)) (sin (* PI l))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (/ (* F F)) (sin (* PI l))) * [exit]simplify: Simplified to (* (/ (* F F)) (sin (* PI l))) * * * * [misc]progress: [ 41 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 48 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqr F))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (log (/ (* F F))) * [exit]simplify: Simplified to (log (/ (* F F))) * * * * [misc]progress: [ 44 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqr F))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (exp (/ (* F F))) * [exit]simplify: Simplified to (exp (/ (* F F))) * * * * [misc]progress: [ 45 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqr F))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (* F F))) * [exit]simplify: Simplified to (cbrt (/ (* F F))) * * * * [misc]progress: [ 46 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (sqr F))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (cube (/ (* F F))) * [exit]simplify: Simplified to (cube (/ (* F F))) * * * * [misc]progress: [ 47 / 48 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqr F))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (* F F))) * [exit]simplify: Simplified to (sqrt (/ (* F F))) * * * * [misc]progress: [ 48 / 48 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (sin (* l PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/6 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 1/6 (pow PI 3))) into (- (* 1/6 (pow PI 3))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 5) 120)) 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow PI 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/120 (pow PI 5)) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 1/120 (pow PI 5)) (pow l 5)) (+ (* (- (* 1/6 (pow PI 3))) (pow l 3)) (* PI l))) into (- (+ (* 1/120 (* (pow PI 5) (pow l 5))) (* PI l)) (* 1/6 (* (pow PI 3) (pow l 3)))) * [misc]approximate: Taking taylor expansion of (sin (* (/ 1 l) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]approximate: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (cos (* l PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (sqr PI))) * [misc]backup-simplify: Simplify (- (* 1/2 (sqr PI))) into (- (* 1/2 (sqr PI))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 4) 24)) 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (* 1/24 (pow PI 4)) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* (* 1/24 (pow PI 4)) (pow l 4)) (+ (* (- (* 1/2 (sqr PI))) (sqr l)) 1)) into (- (+ 1 (* 1/24 (* (pow PI 4) (pow l 4)))) (* 1/2 (* (sqr PI) (sqr l)))) * [misc]approximate: Taking taylor expansion of (cos (* (/ 1 l) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]approximate: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [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 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (/ (sin (* l PI)) F) (* (cos (* l PI)) F)) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sin (* l PI)) F) (* (cos (* l PI)) F)) in F * [misc]taylor: Taking taylor expansion of (/ (sin (* l PI)) F) in F * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in F * [misc]taylor: Taking taylor expansion of (* l PI) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* l PI) into (* PI l) * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (* PI l)) 1) into (sin (* PI l)) * [misc]backup-simplify: Simplify (* (cos (* PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* PI l)) 0) into (sin (* PI l)) * [misc]backup-simplify: Simplify (/ (sin (* PI l)) 1) into (sin (* PI l)) * [misc]taylor: Taking taylor expansion of (* (cos (* l PI)) F) in F * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in F * [misc]taylor: Taking taylor expansion of (* l PI) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* l PI) into (* PI l) * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (cos (* PI l)) 1) into (cos (* PI l)) * [misc]backup-simplify: Simplify (* (sin (* PI l)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* PI l)) 0) into (cos (* PI l)) * [misc]backup-simplify: Simplify (* (cos (* PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* PI l)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* PI l)) 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 (* PI l)) 1) (* 0 0)) into (cos (* PI l)) * [misc]backup-simplify: Simplify (/ (sin (* PI l)) (cos (* PI l))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (/ (/ (sin (* l PI)) F) (* (cos (* l PI)) F)) in l * [misc]taylor: Taking taylor expansion of (/ (sin (* l PI)) F) in l * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI F) into (/ PI F) * [misc]taylor: Taking taylor expansion of (* (cos (* l PI)) F) in l * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* 1 F) into F * [misc]backup-simplify: Simplify (/ (/ PI F) F) into (/ PI (sqr F)) * [misc]taylor: Taking taylor expansion of (/ (/ (sin (* l PI)) F) (* (cos (* l PI)) F)) in l * [misc]taylor: Taking taylor expansion of (/ (sin (* l PI)) F) in l * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI F) into (/ PI F) * [misc]taylor: Taking taylor expansion of (* (cos (* l PI)) F) in l * [misc]taylor: Taking taylor expansion of (cos (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* 1 F) into F * [misc]backup-simplify: Simplify (/ (/ PI F) F) into (/ PI (sqr F)) * [misc]taylor: Taking taylor expansion of (/ PI (sqr F)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 F) (+ (* (/ PI F) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 F)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 F) (+ (* (/ PI (sqr F)) (/ 0 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/6 (pow PI 3))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow PI 3))) F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)))) into (- (* 1/6 (/ (pow PI 3) F))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (sqr PI))) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* (- (* 1/2 (sqr PI))) F))) into (- (* 1/2 (* F (sqr PI)))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (/ (pow PI 3) F))) F) (+ (* (/ PI (sqr F)) (/ (- (* 1/2 (* F (sqr PI)))) F)) (* 0 (/ 0 F)))) into (* 1/3 (/ (pow PI 3) (sqr F))) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (pow PI 3) (sqr F))) in F * [misc]taylor: Taking taylor expansion of 1/3 in F * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (/ (pow PI 3) (sqr F)) in F * [misc]taylor: Taking taylor expansion of (pow PI 3) in F * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in F * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in F * [misc]taylor: Taking taylor expansion of 3 in F * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of (sqr F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (pow PI 3) 1) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1/3 (pow PI 3)) into (* 1/3 (pow PI 3)) * [misc]backup-simplify: Simplify (* 1/3 (pow PI 3)) into (* 1/3 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)) (* (- (* 1/6 (/ (pow PI 3) F))) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (* 1/2 (sqr PI))) 0) (* 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 F) (+ (* (/ PI (sqr F)) (/ 0 F)) (* 0 (/ (- (* 1/2 (* F (sqr PI)))) F)) (* (* 1/3 (/ (pow PI 3) (sqr F))) (/ 0 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow PI 3) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (pow PI 3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 5) 120)) 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow PI 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/120 (pow PI 5)) F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)) (* (- (* 1/6 (/ (pow PI 3) F))) (/ 0 F)) (* 0 (/ 0 F)))) into (* 1/120 (/ (pow PI 5) F)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 4) 24)) 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into (* 1/24 (pow PI 4)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (- (* 1/2 (sqr PI))) 0) (+ (* 0 0) (* (* 1/24 (pow PI 4)) F))))) into (* 1/24 (* F (pow PI 4))) * [misc]backup-simplify: Simplify (- (/ (* 1/120 (/ (pow PI 5) F)) F) (+ (* (/ PI (sqr F)) (/ (* 1/24 (* F (pow PI 4))) F)) (* 0 (/ 0 F)) (* (* 1/3 (/ (pow PI 3) (sqr F))) (/ (- (* 1/2 (* F (sqr PI)))) F)) (* 0 (/ 0 F)))) into (* 2/15 (/ (pow PI 5) (sqr F))) * [misc]taylor: Taking taylor expansion of (* 2/15 (/ (pow PI 5) (sqr F))) in F * [misc]taylor: Taking taylor expansion of 2/15 in F * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]taylor: Taking taylor expansion of (/ (pow PI 5) (sqr F)) in F * [misc]taylor: Taking taylor expansion of (pow PI 5) in F * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in F * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in F * [misc]taylor: Taking taylor expansion of 5 in F * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of (sqr F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (pow PI 5) 1) into (pow PI 5) * [misc]backup-simplify: Simplify (* 2/15 (pow PI 5)) into (* 2/15 (pow PI 5)) * [misc]backup-simplify: Simplify (* 2/15 (pow PI 5)) into (* 2/15 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 2/15 (pow PI 5)) (* (/ 1 (sqr F)) (pow l 5))) (+ (* (* 1/3 (pow PI 3)) (* (/ 1 (sqr F)) (pow l 3))) (* PI (* (/ 1 (sqr F)) l)))) into (+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) (sqr F))) (+ (/ (* PI l) (sqr F)) (* 2/15 (/ (* (pow PI 5) (pow l 5)) (sqr F))))) * [misc]approximate: Taking taylor expansion of (/ (/ (sin (* (/ 1 l) PI)) (/ 1 F)) (* (cos (* (/ 1 l) PI)) (/ 1 F))) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sin (* (/ 1 l) PI)) (/ 1 F)) (* (cos (* (/ 1 l) PI)) (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (/ (sin (* (/ 1 l) PI)) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in F * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) into (/ PI l) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (sin (/ PI l)) 1) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ PI l)) 0) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) 1) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (* (cos (* (/ 1 l) PI)) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in F * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) into (/ PI l) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [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 (/ PI l)) 1) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (* (sin (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ PI l)) 0) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 1) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (/ (sin (* (/ 1 l) PI)) (/ 1 F)) (* (cos (* (/ 1 l) PI)) (/ 1 F))) in l * [misc]taylor: Taking taylor expansion of (/ (sin (* (/ 1 l) PI)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (/ 1 F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (/ 1 F)) into (* F (sin (/ PI l))) * [misc]taylor: Taking taylor expansion of (* (cos (* (/ 1 l) PI)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (/ 1 F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) (/ 1 F)) into (/ (cos (/ PI l)) F) * [misc]backup-simplify: Simplify (/ (* F (sin (/ PI l))) (/ (cos (/ PI l)) F)) into (/ (* (sqr F) (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (/ (sin (* (/ 1 l) PI)) (/ 1 F)) (* (cos (* (/ 1 l) PI)) (/ 1 F))) in l * [misc]taylor: Taking taylor expansion of (/ (sin (* (/ 1 l) PI)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (/ 1 F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (/ 1 F)) into (* F (sin (/ PI l))) * [misc]taylor: Taking taylor expansion of (* (cos (* (/ 1 l) PI)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (cos (* (/ 1 l) PI)) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (/ 1 F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) (/ 1 F)) into (/ (cos (/ PI l)) F) * [misc]backup-simplify: Simplify (/ (* F (sin (/ PI l))) (/ (cos (/ PI l)) F)) into (/ (* (sqr F) (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (* (sqr F) (sin (/ PI l))) (cos (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (* (sqr F) (sin (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (sqr F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin (/ PI l)) in F * [misc]taylor: Taking taylor expansion of (/ PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ PI l) into (/ PI l) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (cos (/ PI l)) in F * [misc]taylor: Taking taylor expansion of (/ PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ PI l) into (/ PI l) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sin (/ PI l)) 1) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ PI l)) 0) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* 0 (sin (/ PI l))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (sin (/ PI l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sin (/ PI l))))) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 1) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (* (sin (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (/ PI l)) 0) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (* F (sin (/ PI l))) (/ 0 (/ 1 F))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (* 0 (/ 1 F))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (cos (/ PI l)) F)) (+ (* (/ (* (sqr F) (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ (cos (/ PI l)) F))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [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 (+ (* (sin (/ PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 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 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (* F (sin (/ PI l))) (/ 0 (/ 1 F))) (* 0 (/ 0 (/ 1 F))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (* 0 (/ 1 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (cos (/ PI l)) F)) (+ (* (/ (* (sqr F) (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ (cos (/ PI l)) F))) (* 0 (/ 0 (/ (cos (/ PI l)) F))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [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 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 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 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)) (* 0 (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (* F (sin (/ PI l))) (/ 0 (/ 1 F))) (* 0 (/ 0 (/ 1 F))) (* 0 (/ 0 (/ 1 F))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)) (* 0 (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 F))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (cos (/ PI l)) F)) (+ (* (/ (* (sqr F) (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ (cos (/ PI l)) F))) (* 0 (/ 0 (/ (cos (/ PI l)) F))) (* 0 (/ 0 (/ (cos (/ PI l)) F))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (sin (/ PI l)) (cos (/ PI l))) (sqr (* (/ 1 F) 1))) into (/ (sin (/ PI l)) (* (sqr F) (cos (/ PI l)))) * [misc]approximate: Taking taylor expansion of (/ (/ (sin (* (/ 1 (- l)) PI)) (/ 1 (- F))) (* (cos (* (/ 1 (- l)) PI)) (/ 1 (- F)))) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sin (* (/ 1 (- l)) PI)) (/ 1 (- F))) (* (cos (* (/ 1 (- l)) PI)) (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (/ (sin (* (/ 1 (- l)) PI)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ -1 l) PI) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (sin (* -1 (/ PI l))) 1) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1 (/ PI l))) 0) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) -1) into (* -1 (sin (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (* (cos (* (/ 1 (- l)) PI)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ -1 l) PI) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (/ PI l))) 1) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (sin (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1 (/ PI l))) 0) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) -1) into (* -1 (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (/ (* -1 (sin (* -1 (/ PI l)))) (* -1 (cos (* -1 (/ PI l))))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (/ (sin (* (/ 1 (- l)) PI)) (/ 1 (- F))) (* (cos (* (/ 1 (- l)) PI)) (/ 1 (- F)))) in l * [misc]taylor: Taking taylor expansion of (/ (sin (* (/ 1 (- l)) PI)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in l * [misc]taylor: Taking taylor expansion of (- F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (/ 1 (- F)) into (/ -1 F) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (/ -1 F)) into (* -1 (* F (sin (* -1 (/ PI l))))) * [misc]taylor: Taking taylor expansion of (* (cos (* (/ 1 (- l)) PI)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in l * [misc]taylor: Taking taylor expansion of (- F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (/ 1 (- F)) into (/ -1 F) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) (/ -1 F)) into (* -1 (/ (cos (* -1 (/ PI l))) F)) * [misc]backup-simplify: Simplify (/ (* -1 (* F (sin (* -1 (/ PI l))))) (* -1 (/ (cos (* -1 (/ PI l))) F))) into (/ (* (sqr F) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (/ (sin (* (/ 1 (- l)) PI)) (/ 1 (- F))) (* (cos (* (/ 1 (- l)) PI)) (/ 1 (- F)))) in l * [misc]taylor: Taking taylor expansion of (/ (sin (* (/ 1 (- l)) PI)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in l * [misc]taylor: Taking taylor expansion of (- F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (/ 1 (- F)) into (/ -1 F) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (/ -1 F)) into (* -1 (* F (sin (* -1 (/ PI l))))) * [misc]taylor: Taking taylor expansion of (* (cos (* (/ 1 (- l)) PI)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (cos (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (cos (* (/ 1 (- l)) PI)) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in l * [misc]taylor: Taking taylor expansion of (- F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (/ 1 (- F)) into (/ -1 F) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) (/ -1 F)) into (* -1 (/ (cos (* -1 (/ PI l))) F)) * [misc]backup-simplify: Simplify (/ (* -1 (* F (sin (* -1 (/ PI l))))) (* -1 (/ (cos (* -1 (/ PI l))) F))) into (/ (* (sqr F) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (* (sqr F) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) in F * [misc]taylor: Taking taylor expansion of (* (sqr F) (sin (* -1 (/ PI l)))) in F * [misc]taylor: Taking taylor expansion of (sqr F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin (* -1 (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (* -1 (/ PI l)) in F * [misc]taylor: Taking taylor expansion of -1 in F * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ PI l) into (/ PI l) * [misc]backup-simplify: Simplify (* -1 (/ PI l)) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (cos (* -1 (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (* -1 (/ PI l)) in F * [misc]taylor: Taking taylor expansion of -1 in F * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ PI l) into (/ PI l) * [misc]backup-simplify: Simplify (* -1 (/ PI l)) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* (sin (* -1 (/ PI l))) 1) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1 (/ PI l))) 0) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* 0 (sin (* -1 (/ PI l)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ PI l))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 0 (sin (* -1 (/ PI l))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ PI l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (* 1 (sin (* -1 (/ PI l)))))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) 1) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (sin (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (cos (* -1 (/ PI l))) 0) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 F) (/ 0 (- F))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 F)) (+ (* (* -1 (* F (sin (* -1 (/ PI l))))) (/ 0 (/ -1 F))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 F) (/ 0 (- F))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (* 0 (/ -1 F))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (/ (cos (* -1 (/ PI l))) F))) (+ (* (/ (* (sqr F) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (* -1 (/ (cos (* -1 (/ PI l))) F)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [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 (+ (* (sin (* -1 (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI l))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (* 0 (sin (* -1 (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ PI l))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 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 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 F) (/ 0 (- F))) (* 0 (/ 0 (- F))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 F)) (+ (* (* -1 (* F (sin (* -1 (/ PI l))))) (/ 0 (/ -1 F))) (* 0 (/ 0 (/ -1 F))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 F) (/ 0 (- F))) (* 0 (/ 0 (- F))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 (/ -1 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (/ (cos (* -1 (/ PI l))) F))) (+ (* (/ (* (sqr F) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (* -1 (/ (cos (* -1 (/ PI l))) F)))) (* 0 (/ 0 (* -1 (/ (cos (* -1 (/ PI l))) F)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [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 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (* -1 (/ PI l)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ PI l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 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 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))) (* 0 (/ 0 (cos (* -1 (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 F) (/ 0 (- F))) (* 0 (/ 0 (- F))) (* 0 (/ 0 (- F))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 F)) (+ (* (* -1 (* F (sin (* -1 (/ PI l))))) (/ 0 (/ -1 F))) (* 0 (/ 0 (/ -1 F))) (* 0 (/ 0 (/ -1 F))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 F) (/ 0 (- F))) (* 0 (/ 0 (- F))) (* 0 (/ 0 (- F))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 F))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (/ (cos (* -1 (/ PI l))) F))) (+ (* (/ (* (sqr F) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (* -1 (/ (cos (* -1 (/ PI l))) F)))) (* 0 (/ 0 (* -1 (/ (cos (* -1 (/ PI l))) F)))) (* 0 (/ 0 (* -1 (/ (cos (* -1 (/ PI l))) F)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (sqr (* (/ 1 (- F)) 1))) into (/ (sin (* -1 (/ PI l))) (* (sqr F) (cos (* -1 (/ PI l))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ (sin (* l PI)) F) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (* l PI)) F) in F * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in F * [misc]taylor: Taking taylor expansion of (* l PI) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* l PI) into (* PI l) * [misc]backup-simplify: Simplify (sin (* PI l)) into (sin (* PI l)) * [misc]backup-simplify: Simplify (cos (* PI l)) into (cos (* PI l)) * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sin (* PI l)) 1) into (sin (* PI l)) * [misc]backup-simplify: Simplify (* (cos (* PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* PI l)) 0) into (sin (* PI l)) * [misc]backup-simplify: Simplify (/ (sin (* PI l)) 1) into (sin (* PI l)) * [misc]taylor: Taking taylor expansion of (/ (sin (* l PI)) F) in l * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI F) into (/ PI F) * [misc]taylor: Taking taylor expansion of (/ (sin (* l PI)) F) in l * [misc]taylor: Taking taylor expansion of (sin (* l PI)) in l * [misc]taylor: Taking taylor expansion of (* l PI) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI F) into (/ PI F) * [misc]taylor: Taking taylor expansion of (/ PI F) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 F) (+ (* (/ PI F) (/ 0 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow PI 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/6 (pow PI 3))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow PI 3))) F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)))) into (- (* 1/6 (/ (pow PI 3) F))) * [misc]taylor: Taking taylor expansion of (- (* 1/6 (/ (pow PI 3) F))) in F * [misc]taylor: Taking taylor expansion of (* 1/6 (/ (pow PI 3) F)) in F * [misc]taylor: Taking taylor expansion of 1/6 in F * [misc]backup-simplify: Simplify 1/6 into 1/6 * [misc]taylor: Taking taylor expansion of (/ (pow PI 3) F) in F * [misc]taylor: Taking taylor expansion of (pow PI 3) in F * [misc]taylor: Taking taylor expansion of (exp (* 3 (log PI))) in F * [misc]taylor: Taking taylor expansion of (* 3 (log PI)) in F * [misc]taylor: Taking taylor expansion of 3 in F * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log PI) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 3 (log PI)) into (* 3 (log PI)) * [misc]backup-simplify: Simplify (exp (* 3 (log PI))) into (pow PI 3) * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow PI 3) 1) into (pow PI 3) * [misc]backup-simplify: Simplify (* 1/6 (pow PI 3)) into (* 1/6 (pow PI 3)) * [misc]backup-simplify: Simplify (- (* 1/6 (pow PI 3))) into (- (* 1/6 (pow PI 3))) * [misc]backup-simplify: Simplify (- (* 1/6 (pow PI 3))) into (- (* 1/6 (pow PI 3))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)) (* (- (* 1/6 (/ (pow PI 3) F))) (/ 0 F)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 3 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow PI 3) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/6 0) (* 0 (pow PI 3))) 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 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow PI 5) 120)) 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow PI 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 1/120 (pow PI 5)) F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)) (* (- (* 1/6 (/ (pow PI 3) F))) (/ 0 F)) (* 0 (/ 0 F)))) into (* 1/120 (/ (pow PI 5) F)) * [misc]taylor: Taking taylor expansion of (* 1/120 (/ (pow PI 5) F)) in F * [misc]taylor: Taking taylor expansion of 1/120 in F * [misc]backup-simplify: Simplify 1/120 into 1/120 * [misc]taylor: Taking taylor expansion of (/ (pow PI 5) F) in F * [misc]taylor: Taking taylor expansion of (pow PI 5) in F * [misc]taylor: Taking taylor expansion of (exp (* 5 (log PI))) in F * [misc]taylor: Taking taylor expansion of (* 5 (log PI)) in F * [misc]taylor: Taking taylor expansion of 5 in F * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (log PI) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]backup-simplify: Simplify (* 5 (log PI)) into (* 5 (log PI)) * [misc]backup-simplify: Simplify (exp (* 5 (log PI))) into (pow PI 5) * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (pow PI 5) 1) into (pow PI 5) * [misc]backup-simplify: Simplify (* 1/120 (pow PI 5)) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify (* 1/120 (pow PI 5)) into (* 1/120 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* (* 1/120 (pow PI 5)) (* (/ 1 F) (pow l 5))) (+ (* (- (* 1/6 (pow PI 3))) (* (/ 1 F) (pow l 3))) (* PI (* (/ 1 F) l)))) into (- (+ (/ (* PI l) F) (* 1/120 (/ (* (pow PI 5) (pow l 5)) F))) (* 1/6 (/ (* (pow PI 3) (pow l 3)) F))) * [misc]approximate: Taking taylor expansion of (/ (sin (* (/ 1 l) PI)) (/ 1 F)) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (* (/ 1 l) PI)) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in F * [misc]taylor: Taking taylor expansion of (/ 1 l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ 1 l) PI) into (/ PI l) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]taylor: Taking taylor expansion of (/ 1 F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (sin (/ PI l)) 1) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ PI l)) 0) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) 1) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (/ (sin (* (/ 1 l) PI)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (/ 1 F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (/ 1 F)) into (* F (sin (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (sin (* (/ 1 l) PI)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 l) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 l) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 1 PI) into PI * [misc]backup-simplify: Simplify (sin (* (/ 1 l) PI)) into (sin (/ PI l)) * [misc]taylor: Taking taylor expansion of (/ 1 F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ 1 F) into (/ 1 F) * [misc]backup-simplify: Simplify (/ (sin (/ PI l)) (/ 1 F)) into (* F (sin (/ PI l))) * [misc]taylor: Taking taylor expansion of (* F (sin (/ PI l))) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin (/ PI l)) in F * [misc]taylor: Taking taylor expansion of (/ PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ PI l) into (/ PI l) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (cos (/ PI l)) into (cos (/ PI l)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (/ PI l)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (sin (/ PI l)) 1) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (* (cos (/ PI l)) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (/ PI l)) 0) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin (/ PI l)))) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (sin (/ PI l)) into (sin (/ PI l)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (* F (sin (/ PI l))) (/ 0 (/ 1 F))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [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 (+ (* (sin (/ PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ PI l))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (* F (sin (/ PI l))) (/ 0 (/ 1 F))) (* 0 (/ 0 (/ 1 F))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [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 (+ (* (sin (/ PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)) (* 0 (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (* F (sin (/ PI l))) (/ 0 (/ 1 F))) (* 0 (/ 0 (/ 1 F))) (* 0 (/ 0 (/ 1 F))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sin (/ PI l)) (* (/ 1 F) 1)) into (/ (sin (/ PI l)) F) * [misc]approximate: Taking taylor expansion of (/ (sin (* (/ 1 (- l)) PI)) (/ 1 (- F))) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (sin (* (/ 1 (- l)) PI)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in F * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in F * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in F * [misc]taylor: Taking taylor expansion of (- l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* (/ -1 l) PI) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in F * [misc]taylor: Taking taylor expansion of (- F) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (sin (* -1 (/ PI l))) 1) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1 (/ PI l))) 0) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) -1) into (* -1 (sin (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (sin (* (/ 1 (- l)) PI)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in l * [misc]taylor: Taking taylor expansion of (- F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (/ 1 (- F)) into (/ -1 F) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (/ -1 F)) into (* -1 (* F (sin (* -1 (/ PI l))))) * [misc]taylor: Taking taylor expansion of (/ (sin (* (/ 1 (- l)) PI)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (sin (* (/ 1 (- l)) PI)) in l * [misc]taylor: Taking taylor expansion of (* (/ 1 (- l)) PI) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 PI in l * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (sin (* (/ 1 (- l)) PI)) into (sin (* -1 (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ 1 (- F)) in l * [misc]taylor: Taking taylor expansion of (- F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (/ 1 (- F)) into (/ -1 F) * [misc]backup-simplify: Simplify (/ (sin (* -1 (/ PI l))) (/ -1 F)) into (* -1 (* F (sin (* -1 (/ PI l))))) * [misc]taylor: Taking taylor expansion of (* -1 (* F (sin (* -1 (/ PI l))))) in F * [misc]taylor: Taking taylor expansion of -1 in F * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* F (sin (* -1 (/ PI l)))) in F * [misc]taylor: Taking taylor expansion of F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin (* -1 (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (* -1 (/ PI l)) in F * [misc]taylor: Taking taylor expansion of -1 in F * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ PI l) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ PI l) into (/ PI l) * [misc]backup-simplify: Simplify (* -1 (/ PI l)) into (* -1 (/ PI l)) * [misc]backup-simplify: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ PI l))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (sin (* -1 (/ PI l))) 1) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* (cos (* -1 (/ PI l))) 0) into 0 * [misc]backup-simplify: Simplify (+ (sin (* -1 (/ PI l))) 0) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sin (* -1 (/ PI l))))) into (sin (* -1 (/ PI l))) * [misc]backup-simplify: Simplify (* 0 (sin (* -1 (/ PI l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (sin (* -1 (/ PI l)))) (* 0 0)) into (- (sin (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (- (sin (* -1 (/ PI l)))) into (- (sin (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 F) (/ 0 (- F))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 F)) (+ (* (* -1 (* F (sin (* -1 (/ PI l))))) (/ 0 (/ -1 F))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [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 (+ (* (sin (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ PI l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (* -1 (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (sin (* -1 (/ PI l)))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 F) (/ 0 (- F))) (* 0 (/ 0 (- F))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 F)) (+ (* (* -1 (* F (sin (* -1 (/ PI l))))) (/ 0 (/ -1 F))) (* 0 (/ 0 (/ -1 F))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [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 (+ (* (sin (* -1 (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI l))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sin (* -1 (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sin (* -1 (/ PI l)))) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- F) into (- F) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 F) (/ 0 (- F))) (* 0 (/ 0 (- F))) (* 0 (/ 0 (- F))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 F)) (+ (* (* -1 (* F (sin (* -1 (/ PI l))))) (/ 0 (/ -1 F))) (* 0 (/ 0 (/ -1 F))) (* 0 (/ 0 (/ -1 F))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (- (sin (* -1 (/ PI l)))) (* (/ 1 (- F)) 1)) into (/ (sin (* -1 (/ PI l))) F) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (- (+ (* 1/120 (* (pow PI 5) (pow l 5))) (* PI l)) (* 1/6 (* (pow PI 3) (pow l 3)))) F) (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (- (+ (* 1/120 (* (pow l 5) (pow PI 5))) (* PI l)) (* 1/6 (* (cube PI) (cube l)))) (* (sqr F) (cos (* PI l))))) * * * * [misc]progress: [ 2 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (sin (/ PI l)) F) (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 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 (- (* PI l) (/ (sin (/ PI l)) (* (* F F) (cos (* PI l))))) * * * * [misc]progress: [ 3 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (sin (* -1 (/ PI l))) F) (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (- (sin (/ PI l))) (* (* F F) (cos (* PI l))))) * * * * [misc]progress: [ 4 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (sin (* l PI)) F) (* (- (+ 1 (* 1/24 (* (pow PI 4) (pow l 4)))) (* 1/2 (* (sqr PI) (sqr l)))) F))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (+ (* (* F F) (- (* 1/24 (* (pow l 4) (pow PI 4))) (* 1/2 (* (* PI l) (* PI l))))) (* F F)))) * * * * [misc]progress: [ 5 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (sin (* l PI)) F) (* (cos (/ PI l)) F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 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 (- (* PI l) (/ (sin (* PI l)) (* (* F F) (cos (/ PI l))))) * * * * [misc]progress: [ 6 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (sin (* l PI)) F) (* (cos (* -1 (/ PI l))) F))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (/ (sin (* PI l)) (cos (/ PI l))) (* F F))) * * * * [misc]progress: [ 7 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) (sqr F))) (+ (/ (* PI l) (sqr F)) (* 2/15 (/ (* (pow PI 5) (pow l 5)) (sqr F)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (- (- (- (* PI l) (/ (/ PI F) (/ F l))) (* (/ (cube PI) (/ F l)) (* (/ 1/3 F) (* l l)))) (/ (* 2/15 (pow l 5)) (/ (sqr F) (pow PI 5)))) * * * * [misc]progress: [ 8 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (sin (/ PI l)) (* (sqr F) (cos (/ PI l))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (/ (sin (/ PI l)) (* F F)) (cos (/ PI l)))) * * * * [misc]progress: [ 9 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (sin (* -1 (/ PI l))) (* (sqr F) (cos (* -1 (/ PI l)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (- (sin (/ PI l))) (* (* F F) (cos (/ PI l))))) * * * * [misc]progress: [ 10 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (- (+ (/ (* PI l) F) (* 1/120 (/ (* (pow PI 5) (pow l 5)) F))) (* 1/6 (/ (* (pow PI 3) (pow l 3)) F))) (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (354 enodes) * [exit]simplify: Simplified to (- (+ (* (/ 1/6 (cos (* PI l))) (/ (* (cube PI) l) (* (/ F l) (/ F l)))) (* PI l)) (/ (+ (/ (* 1/120 (pow l 5)) (/ F (pow PI 5))) (* PI (/ l F))) (* F (cos (* PI l))))) * * * * [misc]progress: [ 11 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (sin (/ PI l)) F) (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 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 (- (* PI l) (/ (sin (/ PI l)) (* (* F F) (cos (* PI l))))) * * * * [misc]progress: [ 12 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (sin (* -1 (/ PI l))) F) (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (- (sin (/ PI l))) (* (* F F) (cos (* PI l))))) * * * * [misc]progress: [ 13 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sin (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (sin (* PI l))) * [exit]simplify: Simplified to (log (sin (* PI l))) * * * * [misc]progress: [ 15 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sin (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (sin (* PI l))) * [exit]simplify: Simplified to (exp (sin (* PI l))) * * * * [misc]progress: [ 16 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sin (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sin (* PI l))) * [exit]simplify: Simplified to (cbrt (sin (* PI l))) * * * * [misc]progress: [ 17 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sin (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cube (sin (* PI l))) * [exit]simplify: Simplified to (cube (sin (* PI l))) * * * * [misc]progress: [ 18 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sin (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sin (* PI l))) * [exit]simplify: Simplified to (sqrt (sin (* PI l))) * * * * [misc]progress: [ 19 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cos (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (cos (* PI l))) * [exit]simplify: Simplified to (log (cos (* PI l))) * * * * [misc]progress: [ 22 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cos (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (cos (* PI l))) * [exit]simplify: Simplified to (exp (cos (* PI l))) * * * * [misc]progress: [ 23 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cos (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cos (* PI l))) * [exit]simplify: Simplified to (cbrt (cos (* PI l))) * * * * [misc]progress: [ 24 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cos (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cube (cos (* PI l))) * [exit]simplify: Simplified to (cube (cos (* PI l))) * * * * [misc]progress: [ 25 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cos (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cos (* PI l))) * [exit]simplify: Simplified to (sqrt (cos (* PI l))) * * * * [misc]progress: [ 26 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (sin (* l PI)) F)) (log (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (log (/ (sin (* PI l)) F)) (log (* (cos (* PI l)) F))) * [exit]simplify: Simplified to (- (log (/ (sin (* PI l)) F)) (log (* (cos (* PI l)) F))) * * * * [misc]progress: [ 29 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (sin (* l PI)) F) (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (log (/ (/ (sin (* PI l)) (cos (* PI l))) (* F F))) * [exit]simplify: Simplified to (log (/ (/ (sin (* PI l)) (cos (* PI l))) (* F F))) * * * * [misc]progress: [ 30 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (sin (* l PI)) F) (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (exp (/ (/ (sin (* PI l)) F) (* F (cos (* PI l))))) * [exit]simplify: Simplified to (exp (/ (/ (sin (* PI l)) F) (* F (cos (* PI l))))) * * * * [misc]progress: [ 31 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (/ (sin (* l PI)) F)) (cube (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * [exit]simplify: Simplified to (cube (/ (/ (sin (* PI l)) (* F F)) (cos (* PI l)))) * [exit]simplify: Simplified to (cube (/ (/ (sin (* PI l)) (* F F)) (cos (* PI l)))) * * * * [misc]progress: [ 32 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ (sin (* l PI)) F) (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sin (* PI l)) F) (* F (cos (* PI l))))) * [exit]simplify: Simplified to (cbrt (/ (/ (sin (* PI l)) F) (* F (cos (* PI l))))) * * * * [misc]progress: [ 33 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (/ (sin (* l PI)) F) (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (cube (/ (/ (sin (* PI l)) (* F F)) (cos (* PI l)))) * [exit]simplify: Simplified to (cube (/ (/ (sin (* PI l)) (* F F)) (cos (* PI l)))) * * * * [misc]progress: [ 34 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ (sin (* l PI)) F)) (cbrt (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin (* PI l)) F)) (cbrt (* (cos (* PI l)) F))) * [exit]simplify: Simplified to (/ (cbrt (/ (sin (* PI l)) F)) (cbrt (* (cos (* PI l)) F))) * * * * [misc]progress: [ 35 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sin (* l PI)) F) (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sin (* PI l)) F) (* F (cos (* PI l))))) * [exit]simplify: Simplified to (sqrt (/ (/ (sin (* PI l)) F) (* F (cos (* PI l))))) * * * * [misc]progress: [ 36 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sin (* l PI)) F)) (sqrt (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (sin (* PI l)) F)) (sqrt (* (cos (* PI l)) F))) * [exit]simplify: Simplified to (/ (sqrt (/ (sin (* PI l)) F)) (sqrt (* (cos (* PI l)) F))) * * * * [misc]progress: [ 37 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (sin (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (/ (sin (* PI l)) F)) * [exit]simplify: Simplified to (- (/ (sin (* PI l)) F)) * [enter]simplify: Simplifying (- (* (cos (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (* (- F) (cos (* PI l))) * [exit]simplify: Simplified to (* (- F) (cos (* PI l))) * * * * [misc]progress: [ 38 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cos (* l PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (cos (* PI l))) * [exit]simplify: Simplified to (/ 1 (cos (* PI l))) * [enter]simplify: Simplifying (/ (/ (sin (* l PI)) F) F) * * [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 (/ (sin (* PI l)) (* F F)) * [exit]simplify: Simplified to (/ (sin (* PI l)) (* F F)) * * * * [misc]progress: [ 39 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin (* l PI)) (cos (* l PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (sin (* PI l)) (cos (* PI l))) * [exit]simplify: Simplified to (/ (sin (* PI l)) (cos (* PI l))) * [enter]simplify: Simplifying (/ (/ 1 F) F) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqr F)) * [exit]simplify: Simplified to (/ 1 (sqr F)) * * * * [misc]progress: [ 40 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cos (* l PI)) F)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cos (* PI l))) F) * [exit]simplify: Simplified to (/ (/ 1 (cos (* PI l))) F) * * * * [misc]progress: [ 42 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos (* l PI)) F) (/ (sin (* l PI)) F)) * * [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 (24 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ F (sin (* PI l))) (* (cos (* PI l)) F)) * [exit]simplify: Simplified to (* (/ F (sin (* PI l))) (* (cos (* PI l)) F)) * * * * [misc]progress: [ 43 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sin (* l PI)) F) (cos (* l PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ (sin (* PI l)) (cos (* PI l))) F) * [exit]simplify: Simplified to (/ (/ (sin (* PI l)) (cos (* PI l))) F) * * * * [misc]progress: [ 44 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos (* l PI)) F) (/ (sin (* l PI)) F)) * * [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 (24 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (/ F (sin (* PI l))) (* (cos (* PI l)) F)) * [exit]simplify: Simplified to (* (/ F (sin (* PI l))) (* (cos (* PI l)) F)) * * * * [misc]progress: [ 45 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos (* l PI)) F) (/ 1 F)) * * [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 (26 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (cos (* PI l)) (/ 1 (* F F))) * [exit]simplify: Simplified to (/ (cos (* PI l)) (/ 1 (* F F))) * * * * [misc]progress: [ 46 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cos (* l PI)) F) F) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (* (cos (* PI l)) (* F F)) * [exit]simplify: Simplified to (* (cos (* PI l)) (* F F)) * * * * [misc]progress: [ 47 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sin (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (log (/ (sin (* PI l)) F)) * [exit]simplify: Simplified to (log (/ (sin (* PI l)) F)) * * * * [misc]progress: [ 49 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sin (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (/ (sin (* PI l)) F)) * [exit]simplify: Simplified to (exp (/ (sin (* PI l)) F)) * * * * [misc]progress: [ 50 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sin (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (sin (* PI l)) F)) * [exit]simplify: Simplified to (cbrt (/ (sin (* PI l)) F)) * * * * [misc]progress: [ 51 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (sin (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cube (/ (sin (* PI l)) F)) * [exit]simplify: Simplified to (cube (/ (sin (* PI l)) F)) * * * * [misc]progress: [ 52 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sin (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (sin (* PI l)) F)) * [exit]simplify: Simplified to (sqrt (/ (sin (* PI l)) F)) * * * * [misc]progress: [ 53 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sin (* l PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (sin (* PI l))) * [exit]simplify: Simplified to (- (sin (* PI l))) * [enter]simplify: Simplifying (- F) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- F) * [exit]simplify: Simplified to (- F) * * * * [misc]progress: [ 54 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 F) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 F) * [exit]simplify: Simplified to (/ 1 F) * * * * [misc]progress: [ 56 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (sin (* l PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ F (sin (* PI l))) * [exit]simplify: Simplified to (/ F (sin (* PI l))) * * * * [misc]progress: [ 57 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (sin (* l PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ F (sin (* PI l))) * [exit]simplify: Simplified to (/ F (sin (* PI l))) * * * [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 l -2.7374721808183484e+138) #s(sp 1 l 7.104630577058692e+146) #s(sp 0 l +inf.0)) , with alts (# #) * [misc]splitpoints: intervals are: ((#f . #s(sp 0 l -2.7374721808183484e+138)) (#s(sp 1 l 7.104630577058692e+146) . #s(sp 0 l +inf.0))) * [misc]splitpoints: intervals are: ((#s(sp 0 l -2.7374721808183484e+138) . #s(sp 1 l 7.104630577058692e+146))) * [enter]simplify: Simplifying (* l PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* PI l) * [exit]simplify: Simplified to (* PI l) * [enter]simplify: Simplifying (/ (- (sin (/ PI l))) (* (* F F) (cos (/ PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (- (sin (/ PI l))) (* (cos (/ PI l)) (* F F))) * [exit]simplify: Simplified to (/ (- (sin (/ PI l))) (* (cos (/ PI l)) (* F F))) * [enter]simplify: Simplifying (- (* l PI) (/ (/ (sin (/ PI l)) F) (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 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 (- (* PI l) (/ (sin (/ PI l)) (* (* F F) (cos (* PI l))))) * [enter]simplify: Simplifying (- (* l PI) (/ (/ (sin (* l PI)) F) (* (- (+ 1 (* 1/24 (* (pow PI 4) (pow l 4)))) (* 1/2 (* (sqr PI) (sqr l)))) F))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (+ (* (* F F) (- (* 1/24 (* (pow l 4) (pow PI 4))) (* 1/2 (* (* PI l) (* PI l))))) (* F F)))) * [enter]simplify: Simplifying (cbrt (cos (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (cos (* l PI))) * [exit]simplify: Simplified to (cbrt (cos (* l PI))) * [enter]simplify: Simplifying (* l PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* PI l) * [exit]simplify: Simplified to (* PI l) * [enter]simplify: Simplifying (/ (- (sin (/ PI l))) (* (* F F) (cos (/ PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (- (sin (/ PI l))) (* (cos (/ PI l)) (* F F))) * [exit]simplify: Simplified to (/ (- (sin (/ PI l))) (* (cos (/ PI l)) (* F F))) * [enter]simplify: Simplifying (cbrt (* (/ (sqr F)) (sin (* PI l)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (* F F)) (sin (* PI l)))) * [exit]simplify: Simplified to (cbrt (* (/ (* F F)) (sin (* PI l)))) * [enter]simplify: Simplifying (cube (/ (sin (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cube (/ (sin (* PI l)) F)) * [exit]simplify: Simplified to (cube (/ (sin (* PI l)) F)) * [enter]simplify: Simplifying (- (log (/ (sin (* l PI)) F)) (log (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (log (/ (sin (* PI l)) F)) (log (* (cos (* PI l)) F))) * [exit]simplify: Simplified to (- (log (/ (sin (* PI l)) F)) (log (* (cos (* PI l)) F))) * [enter]simplify: Simplifying (- (* PI l) (/ (* (/ (sqr F)) (sin (* PI l))) (- (+ 1 (* 1/24 (* (pow PI 4) (pow l 4)))) (* 1/2 (* (sqr PI) (sqr l)))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (* (sin (* l PI)) (/ (sqr F))) (- (+ (* (pow PI 4) (* 1/24 (pow l 4))) 1) (* 1/2 (* (* l PI) (* l PI)))))) * [enter]simplify: Simplifying (exp (/ (sqr F))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (exp (/ (* F F))) * [exit]simplify: Simplified to (exp (/ (* F F))) * [enter]simplify: Simplifying (cube (sin (* PI l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cube (sin (* l PI))) * [exit]simplify: Simplified to (cube (sin (* l PI))) * [enter]simplify: Simplifying (/ (cbrt (/ (sin (* l PI)) F)) (cbrt (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (sin (* PI l)) F)) (cbrt (* (cos (* PI l)) F))) * [exit]simplify: Simplified to (/ (cbrt (/ (sin (* PI l)) F)) (cbrt (* (cos (* PI l)) F))) * [enter]simplify: Simplifying (cube (/ (/ (sin (* l PI)) F) (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (cube (/ (/ (sin (* PI l)) (* F F)) (cos (* PI l)))) * [exit]simplify: Simplified to (cube (/ (/ (sin (* PI l)) (* F F)) (cos (* PI l)))) * [enter]simplify: Simplifying (- (* l PI) (/ (/ (sin (* l PI)) F) (* (- (+ 1 (* 1/24 (* (pow PI 4) (pow l 4)))) (* 1/2 (* (sqr PI) (sqr l)))) F))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (+ (* (* F F) (- (* 1/24 (* (pow l 4) (pow PI 4))) (* 1/2 (* (* PI l) (* PI l))))) (* F F)))) * [enter]simplify: Simplifying (/ 1 F) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 F) * [exit]simplify: Simplified to (/ 1 F) * [enter]simplify: Simplifying (cbrt (/ (/ (sin (* l PI)) F) (* (cos (* l PI)) F))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (sin (* PI l)) F) (* F (cos (* PI l))))) * [exit]simplify: Simplified to (cbrt (/ (/ (sin (* PI l)) F) (* F (cos (* PI l)))))