* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (* PI l) (* (/ 1 (* F F)) (tan (* PI l)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (tan (* l PI)) (* F F))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (tan (* l PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (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 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 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 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow PI 3))) 1) (+ (* PI (/ (- (* 1/2 (pow PI 2))) 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 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 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 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (pow PI 2))) 1)) (* (* 1/3 (pow PI 3)) (/ 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 (+ (* 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 (- (/ (* 1/120 (pow PI 5)) 1) (+ (* PI (/ (* 1/24 (pow PI 4)) 1)) (* 0 (/ 0 1)) (* (* 1/3 (pow PI 3)) (/ (- (* 1/2 (pow PI 2))) 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 (* (/ 1 l) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (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 (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (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 (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (tan (* l PI)) (* F F)) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) (* F F)) in F * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [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 (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]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 (* F 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 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 (/ (/ (sin (* PI l)) (cos (* PI l))) 1) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) (* F F)) in l * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* F F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* F F) into (pow F 2) * [misc]backup-simplify: Simplify (/ PI (pow F 2)) into (/ PI (pow F 2)) * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) (* F F)) in l * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* F F) in l * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (* F F) into (pow F 2) * [misc]backup-simplify: Simplify (/ PI (pow F 2)) into (/ PI (pow F 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow F 2)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* F 0) (* 0 F)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow F 2)) (+ (* (/ PI (pow F 2)) (/ 0 (pow F 2))))) 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 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow PI 3))) 1) (+ (* PI (/ (- (* 1/2 (pow PI 2))) 1)) (* 0 (/ 0 1)))) into (* 1/3 (pow PI 3)) * [misc]backup-simplify: Simplify (+ (* F 0) (+ (* 0 0) (* 0 F))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/3 (pow PI 3)) (pow F 2)) (+ (* (/ PI (pow F 2)) (/ 0 (pow F 2))) (* 0 (/ 0 (pow F 2))))) into (* 1/3 (/ (pow PI 3) (pow F 2))) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (pow PI 3) (pow F 2))) 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) (pow F 2)) 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 (pow F 2) in F * [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 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 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 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (pow PI 2))) 1)) (* (* 1/3 (pow PI 3)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* F 0) (+ (* 0 0) (+ (* 0 0) (* 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (pow F 2)) (+ (* (/ PI (pow F 2)) (/ 0 (pow F 2))) (* 0 (/ 0 (pow F 2))) (* (* 1/3 (/ (pow PI 3) (pow F 2))) (/ 0 (pow F 2))))) 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 (+ (* 1/3 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 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 (+ (* 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 (- (/ (* 1/120 (pow PI 5)) 1) (+ (* PI (/ (* 1/24 (pow PI 4)) 1)) (* 0 (/ 0 1)) (* (* 1/3 (pow PI 3)) (/ (- (* 1/2 (pow PI 2))) 1)) (* 0 (/ 0 1)))) into (* 2/15 (pow PI 5)) * [misc]backup-simplify: Simplify (+ (* F 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 F))))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 2/15 (pow PI 5)) (pow F 2)) (+ (* (/ PI (pow F 2)) (/ 0 (pow F 2))) (* 0 (/ 0 (pow F 2))) (* (* 1/3 (/ (pow PI 3) (pow F 2))) (/ 0 (pow F 2))) (* 0 (/ 0 (pow F 2))))) into (* 2/15 (/ (pow PI 5) (pow F 2))) * [misc]taylor: Taking taylor expansion of (* 2/15 (/ (pow PI 5) (pow F 2))) 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) (pow F 2)) 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 (pow F 2) in F * [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)) (* (pow F -2) (pow l 5))) (+ (* (* 1/3 (pow PI 3)) (* (pow F -2) (pow l 3))) (* PI (* (pow F -2) l)))) into (+ (* 2/15 (/ (* (pow PI 5) (pow l 5)) (pow F 2))) (+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2))) (/ (* PI l) (pow F 2)))) * [misc]approximate: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (* (/ 1 F) (/ 1 F))) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (* (/ 1 F) (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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]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 (* (/ 1 F) (/ 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]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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) 1) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (* (/ 1 F) (/ 1 F))) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ 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]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 (pow F 2)) * [misc]backup-simplify: Simplify (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 (pow F 2))) into (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (* (/ 1 F) (/ 1 F))) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ 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]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 (pow F 2)) * [misc]backup-simplify: Simplify (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 (pow F 2))) into (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (* (pow F 2) (sin (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [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 (* 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 (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 F) 0) (* 0 (/ 1 F))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow F 2))) (+ (* (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 (pow F 2)))))) 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 (+ (* (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 (+ (* 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 (- (/ 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 F) (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 F) 0) (+ (* 0 0) (* 0 (/ 1 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow F 2))) (+ (* (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 (pow F 2)))) (* 0 (/ 0 (/ 1 (pow F 2)))))) 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 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 (+ (* 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 (- (/ 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 F) (/ 0 F)) (* 0 (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)) (* 0 (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 F) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 F))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow F 2))) (+ (* (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 (pow F 2)))) (* 0 (/ 0 (/ 1 (pow F 2)))) (* 0 (/ 0 (/ 1 (pow F 2)))))) 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 (/ 1 l))) (cos (/ PI (/ 1 l)))) (pow (* (/ 1 F) 1) 2)) into (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l)))) * [misc]approximate: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (* (/ 1 (- F)) (/ 1 (- F)))) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (* (/ 1 (- F)) (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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]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 (* (/ 1 (- F)) (/ 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]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 (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (* (/ 1 (- F)) (/ 1 (- F)))) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- F)) (/ 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]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 (pow F 2)) * [misc]backup-simplify: Simplify (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 1 (pow F 2))) into (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (* (/ 1 (- F)) (/ 1 (- F)))) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- F)) (/ 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]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 (pow F 2)) * [misc]backup-simplify: Simplify (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 1 (pow F 2))) into (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) in F * [misc]taylor: Taking taylor expansion of (* (pow F 2) (sin (* -1 (/ PI l)))) in F * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [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 (* (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]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 (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 (- F) into (- F) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 F) (/ 0 (- 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 (+ (* (/ -1 F) 0) (* 0 (/ -1 F))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow F 2))) (+ (* (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ 1 (pow F 2)))))) 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 (+ (* (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 (+ (* 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 (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 (- 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) 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 (+ (* (/ -1 F) 0) (+ (* 0 0) (* 0 (/ -1 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow F 2))) (+ (* (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ 1 (pow F 2)))) (* 0 (/ 0 (/ 1 (pow F 2)))))) 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 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 (+ (* 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 (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 (- 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) 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 (+ (* (/ -1 F) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 F))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (pow F 2))) (+ (* (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ 1 (pow F 2)))) (* 0 (/ 0 (/ 1 (pow F 2)))) (* 0 (/ 0 (/ 1 (pow F 2)))))) 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 (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) (pow (* (/ 1 (- F)) 1) 2)) into (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (* l PI) in (l) around 0 * [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]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 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) 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 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) 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 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) 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 PI))))))) 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 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]approximate: Taking taylor expansion of (* (/ 1 l) PI) in (l) around 0 * [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]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 PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) 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 PI))) 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 PI)))) 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 PI))))) 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 PI)))))) 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 PI))))))) 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 (* (/ 1 (- l)) PI) in (l) around 0 * [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]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 (* -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 (+ (* -1 0) (* 0 PI)) 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 PI))) 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 PI)))) 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 PI))))) 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 PI)))))) 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 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (/ 1 (- l)))) into (* PI l) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* l PI) in (l) around 0 * [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]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 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) 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 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) 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 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) 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 PI))))))) 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 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]approximate: Taking taylor expansion of (* (/ 1 l) PI) in (l) around 0 * [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]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 PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) 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 PI))) 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 PI)))) 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 PI))))) 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 PI)))))) 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 PI))))))) 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 (* (/ 1 (- l)) PI) in (l) around 0 * [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]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 (* -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 (+ (* -1 0) (* 0 PI)) 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 PI))) 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 PI)))) 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 PI))))) 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 PI)))))) 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 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (/ 1 (- l)))) into (* PI l) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [exit]simplify: Simplified to (sin (* PI l)) * [enter]simplify: Simplifying (cos (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [exit]simplify: Simplified to (cos (* PI l)) * * * * [misc]progress: [ 2 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (* PI l))) * [exit]simplify: Simplified to (log (tan (* PI l))) * * * * [misc]progress: [ 4 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (* PI l))) * [exit]simplify: Simplified to (exp (tan (* PI l))) * * * * [misc]progress: [ 5 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [enter]simplify: Simplifying (cbrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * * * * [misc]progress: [ 6 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (tan (* l PI)) (tan (* l PI))) (tan (* l PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * * * * [misc]progress: [ 7 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * * * * [misc]progress: [ 8 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (tan (* l PI))) (log (* F F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (log (tan (* PI l))) (+ (log F) (log F))) * [exit]simplify: Simplified to (- (log (tan (* PI l))) (+ (log F) (log F))) * * * * [misc]progress: [ 11 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (tan (* l PI)) (* F F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (log (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (log (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 12 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (tan (* l PI)) (* F F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (exp (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 13 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (tan (* l PI)) (tan (* l PI))) (tan (* l PI))) (* (* (* F F) (* F F)) (* F F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) (* F F)) 3) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) (* F F)) 3) * * * * [misc]progress: [ 14 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (tan (* l PI)) (* F F))) (cbrt (/ (tan (* l PI)) (* F F)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))) * [enter]simplify: Simplifying (cbrt (/ (tan (* l PI)) (* F F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 15 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (tan (* l PI)) (* F F)) (/ (tan (* l PI)) (* F F))) (/ (tan (* l PI)) (* F F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (386 enodes) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) (* F F)) 3) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) (* F F)) 3) * * * * [misc]progress: [ 16 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (tan (* l PI)) (* F F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) (* F F))) * [enter]simplify: Simplifying (sqrt (/ (tan (* l PI)) (* F F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 17 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (* l PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (tan (* PI l))) * [exit]simplify: Simplified to (- (tan (* PI l))) * [enter]simplify: Simplifying (- (* F F)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* (- F) F) * [exit]simplify: Simplified to (* (- F) F) * * * * [misc]progress: [ 18 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) F) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (tan (* PI l))) F) (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (* (/ (cbrt (tan (* PI l))) F) (cbrt (tan (* PI l)))) * [enter]simplify: Simplifying (/ (cbrt (tan (* l PI))) F) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (tan (* PI l))) F) * [exit]simplify: Simplified to (/ (cbrt (tan (* PI l))) F) * * * * [misc]progress: [ 19 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (tan (* l PI))) F) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (tan (* PI l))) F) * [exit]simplify: Simplified to (/ (sqrt (tan (* PI l))) F) * [enter]simplify: Simplifying (/ (sqrt (tan (* l PI))) F) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (tan (* PI l))) F) * [exit]simplify: Simplified to (/ (sqrt (tan (* PI l))) F) * * * * [misc]progress: [ 20 / 56 ] 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) * [enter]simplify: Simplifying (/ (tan (* l PI)) F) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (tan (* PI l)) F) * [exit]simplify: Simplified to (/ (tan (* PI l)) F) * * * * [misc]progress: [ 21 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* F F)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (/ 1 F) F) * [exit]simplify: Simplified to (/ (/ 1 F) F) * * * * [misc]progress: [ 23 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* F F) (tan (* l PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (/ (* F F) (tan (* l PI))) * [exit]simplify: Simplified to (/ (* F F) (tan (* l PI))) * * * * [misc]progress: [ 24 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (tan (* l PI)) F) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (tan (* PI l)) F) * [exit]simplify: Simplified to (/ (tan (* PI l)) F) * * * * [misc]progress: [ 25 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* F F) (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* F F) (cbrt (tan (* l PI)))) * [exit]simplify: Simplified to (/ (* F F) (cbrt (tan (* l PI)))) * * * * [misc]progress: [ 26 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* F F) (sqrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (/ (* F F) (sqrt (tan (* l PI)))) * [exit]simplify: Simplified to (/ (* F F) (sqrt (tan (* l PI)))) * * * * [misc]progress: [ 27 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* F F) (tan (* l PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (/ (* F F) (tan (* l PI))) * [exit]simplify: Simplified to (/ (* F F) (tan (* l PI))) * * * * [misc]progress: [ 28 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* F F) (cos (* l PI))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (* (cos (* l PI)) (* F F)) * [exit]simplify: Simplified to (* (cos (* l PI)) (* F F)) * * * * [misc]progress: [ 29 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* l PI)) * * [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 (* PI l)) * [exit]simplify: Simplified to (log (* PI l)) * * * * [misc]progress: [ 31 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* PI l)) * [exit]simplify: Simplified to (exp (* PI l)) * * * * [misc]progress: [ 32 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* l PI)) (cbrt (* l PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* PI l)) (cbrt (* PI l))) * [exit]simplify: Simplified to (* (cbrt (* PI l)) (cbrt (* PI l))) * [enter]simplify: Simplifying (cbrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* PI l)) * [exit]simplify: Simplified to (cbrt (* PI l)) * * * * [misc]progress: [ 33 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* l PI) (* l PI)) (* l PI)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (pow (* PI l) 3) * [exit]simplify: Simplified to (pow (* PI l) 3) * * * * [misc]progress: [ 34 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI l)) * [exit]simplify: Simplified to (sqrt (* PI l)) * [enter]simplify: Simplifying (sqrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI l)) * [exit]simplify: Simplified to (sqrt (* PI l)) * * * * [misc]progress: [ 35 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* l PI)) * * [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 (* PI l)) * [exit]simplify: Simplified to (log (* PI l)) * * * * [misc]progress: [ 39 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* PI l)) * [exit]simplify: Simplified to (exp (* PI l)) * * * * [misc]progress: [ 40 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* l PI)) (cbrt (* l PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* PI l)) (cbrt (* PI l))) * [exit]simplify: Simplified to (* (cbrt (* PI l)) (cbrt (* PI l))) * [enter]simplify: Simplifying (cbrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* PI l)) * [exit]simplify: Simplified to (cbrt (* PI l)) * * * * [misc]progress: [ 41 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* l PI) (* l PI)) (* l PI)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (pow (* PI l) 3) * [exit]simplify: Simplified to (pow (* PI l) 3) * * * * [misc]progress: [ 42 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI l)) * [exit]simplify: Simplified to (sqrt (* PI l)) * [enter]simplify: Simplifying (sqrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI l)) * [exit]simplify: Simplified to (sqrt (* PI l)) * * * * [misc]progress: [ 43 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 56 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (+ (* 1/3 (* (pow PI 3) (pow l 3))) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (* PI l))) (* F F))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (+ (* PI l) (/ (- (- (* (* (* PI l) (* PI l)) (* (* PI l) (- 1/3))) (* (* (pow PI 5) (pow l 5)) 2/15)) (* PI l)) (* F F))) * * * * [misc]progress: [ 46 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (sin (* PI l)) (cos (* PI l))) (* F F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (* (* F F) (cos (* PI l))))) * * * * [misc]progress: [ 47 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (sin (* PI l)) (cos (* PI l))) (* F F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (* (* F F) (cos (* PI l))))) * * * * [misc]progress: [ 48 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (+ (* 2/15 (/ (* (pow PI 5) (pow l 5)) (pow F 2))) (+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2))) (/ (* PI l) (pow F 2))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * [exit]simplify: Simplified to (- (- (- (* PI l) (/ (* PI l) (* F F))) (* (/ (pow PI 3) (* F F)) (* (* 1/3 l) (* l l)))) (/ (* 2/15 (pow PI 5)) (/ (* F F) (pow l 5)))) * * * * [misc]progress: [ 49 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (* (cos (* PI l)) (* F F)))) * * * * [misc]progress: [ 50 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (* (cos (* PI l)) (* F F)))) * * * * [misc]progress: [ 51 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (tan (* PI l)) (* F F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 52 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (tan (* PI l)) (* F F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 53 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (tan (* PI l)) (* F F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 54 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (tan (* l PI)) (* F F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (tan (* l PI)) (* F F))) * * * * [misc]progress: [ 55 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (tan (* l PI)) (* F F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (tan (* l PI)) (* F F))) * * * * [misc]progress: [ 56 / 56 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI l) (/ (tan (* l PI)) (* F F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (* l PI) (/ (tan (* l PI)) (* F F))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) * * * * [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 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (tan (* l PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (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 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 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 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow PI 3))) 1) (+ (* PI (/ (- (* 1/2 (pow PI 2))) 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 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 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 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (pow PI 2))) 1)) (* (* 1/3 (pow PI 3)) (/ 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 (+ (* 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 (- (/ (* 1/120 (pow PI 5)) 1) (+ (* PI (/ (* 1/24 (pow PI 4)) 1)) (* 0 (/ 0 1)) (* (* 1/3 (pow PI 3)) (/ (- (* 1/2 (pow PI 2))) 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 (* (/ 1 l) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (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 (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (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 (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (/ (tan (* l PI)) F) F) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* l PI)) F) F) in F * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) in F * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [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 (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]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 F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ (sin (* PI l)) (cos (* PI l))) 1) into (/ (sin (* PI l)) (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)) (cos (* PI l))) 1) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* l PI)) F) F) in l * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) in l * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ PI F) into (/ PI F) * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ (/ PI F) F) into (/ PI (pow F 2)) * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* l PI)) F) F) in l * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) in l * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ PI F) into (/ PI F) * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ (/ PI F) F) into (/ PI (pow F 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow F 2)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 F) (+ (* (/ PI F) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 F) (+ (* (/ PI (pow F 2)) (/ 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 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow PI 3))) 1) (+ (* PI (/ (- (* 1/2 (pow PI 2))) 1)) (* 0 (/ 0 1)))) into (* 1/3 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/3 (pow PI 3)) F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)))) into (* 1/3 (/ (pow PI 3) F)) * [misc]backup-simplify: Simplify (- (/ (* 1/3 (/ (pow PI 3) F)) F) (+ (* (/ PI (pow F 2)) (/ 0 F)) (* 0 (/ 0 F)))) into (* 1/3 (/ (pow PI 3) (pow F 2))) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (pow PI 3) (pow F 2))) 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) (pow F 2)) 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 (pow F 2) in F * [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 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 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 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (pow PI 2))) 1)) (* (* 1/3 (pow PI 3)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)) (* (* 1/3 (/ (pow PI 3) F)) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 F) (+ (* (/ PI (pow F 2)) (/ 0 F)) (* 0 (/ 0 F)) (* (* 1/3 (/ (pow PI 3) (pow F 2))) (/ 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 (+ (* 1/3 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 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 (+ (* 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 (- (/ (* 1/120 (pow PI 5)) 1) (+ (* PI (/ (* 1/24 (pow PI 4)) 1)) (* 0 (/ 0 1)) (* (* 1/3 (pow PI 3)) (/ (- (* 1/2 (pow PI 2))) 1)) (* 0 (/ 0 1)))) into (* 2/15 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 2/15 (pow PI 5)) F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)) (* (* 1/3 (/ (pow PI 3) F)) (/ 0 F)) (* 0 (/ 0 F)))) into (* 2/15 (/ (pow PI 5) F)) * [misc]backup-simplify: Simplify (- (/ (* 2/15 (/ (pow PI 5) F)) F) (+ (* (/ PI (pow F 2)) (/ 0 F)) (* 0 (/ 0 F)) (* (* 1/3 (/ (pow PI 3) (pow F 2))) (/ 0 F)) (* 0 (/ 0 F)))) into (* 2/15 (/ (pow PI 5) (pow F 2))) * [misc]taylor: Taking taylor expansion of (* 2/15 (/ (pow PI 5) (pow F 2))) 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) (pow F 2)) 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 (pow F 2) in F * [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)) (* (pow F -2) (pow l 5))) (+ (* (* 1/3 (pow PI 3)) (* (pow F -2) (pow l 3))) (* PI (* (pow F -2) l)))) into (+ (* 2/15 (/ (* (pow PI 5) (pow l 5)) (pow F 2))) (+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2))) (/ (* PI l) (pow F 2)))) * [misc]approximate: Taking taylor expansion of (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F)) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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]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 (/ 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)) (cos (/ PI l))) 1) into (/ (sin (/ PI l)) (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)) (cos (/ PI l))) 1) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 F)) into (/ (* F (sin (/ PI l))) (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 (/ (/ (* F (sin (/ PI l))) (cos (/ PI l))) (/ 1 F)) into (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 F)) into (/ (* F (sin (/ PI l))) (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 (/ (/ (* F (sin (/ PI l))) (cos (/ PI l))) (/ 1 F)) into (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (* (pow F 2) (sin (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [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 (* 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 (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (/ (* F (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 F))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (/ (* (pow F 2) (sin (/ PI l))) (cos (/ 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 (+ 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 (+ (* 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 (- (/ 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 F) (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (/ (* F (sin (/ PI l))) (cos (/ 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 (- (/ 0 (/ 1 F)) (+ (* (/ (* (pow F 2) (sin (/ PI l))) (cos (/ 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 (+ (* -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 (+ (* 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 (- (/ 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 F) (/ 0 F)) (* 0 (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (/ (* F (sin (/ PI l))) (cos (/ 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 (- (/ 0 (/ 1 F)) (+ (* (/ (* (pow F 2) (sin (/ PI l))) (cos (/ 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 (/ 1 l))) (cos (/ PI (/ 1 l)))) (pow (* (/ 1 F) 1) 2)) into (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l)))) * [misc]approximate: Taking taylor expansion of (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F))) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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]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 (/ 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))) (cos (* -1 (/ PI l)))) -1) into (* -1 (/ (sin (* -1 (/ PI l))) (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 (/ (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) -1) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (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 (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ -1 F)) into (* -1 (/ (* F (sin (* -1 (/ PI l)))) (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 (/ (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) (/ -1 F)) into (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (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 (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ -1 F)) into (* -1 (/ (* F (sin (* -1 (/ PI l)))) (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 (/ (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) (/ -1 F)) into (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) in F * [misc]taylor: Taking taylor expansion of (* (pow F 2) (sin (* -1 (/ PI l)))) in F * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [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 (* (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]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 (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 (- 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)))) (cos (* -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 (- (/ 0 (/ -1 F)) (+ (* (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -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 (+ 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 (+ (* 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 (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 (- 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)))) (cos (* -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 (- (/ 0 (/ -1 F)) (+ (* (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -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 (+ (* -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 (+ (* 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 (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 (- 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)))) (cos (* -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 (- (/ 0 (/ -1 F)) (+ (* (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -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 (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) (pow (* (/ 1 (- F)) 1) 2)) into (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (/ (tan (* l PI)) F) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) in F * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [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 (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]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 F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ (sin (* PI l)) (cos (* PI l))) 1) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) in l * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ PI F) into (/ PI F) * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) in l * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 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 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow PI 3))) 1) (+ (* PI (/ (- (* 1/2 (pow PI 2))) 1)) (* 0 (/ 0 1)))) into (* 1/3 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/3 (pow PI 3)) F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)))) into (* 1/3 (/ (pow PI 3) F)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (pow PI 3) 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) 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 (* 1/3 (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 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 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 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (pow PI 2))) 1)) (* (* 1/3 (pow PI 3)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)) (* (* 1/3 (/ (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 (+ (* 1/3 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 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 (+ (* 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 (- (/ (* 1/120 (pow PI 5)) 1) (+ (* PI (/ (* 1/24 (pow PI 4)) 1)) (* 0 (/ 0 1)) (* (* 1/3 (pow PI 3)) (/ (- (* 1/2 (pow PI 2))) 1)) (* 0 (/ 0 1)))) into (* 2/15 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 2/15 (pow PI 5)) F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)) (* (* 1/3 (/ (pow PI 3) F)) (/ 0 F)) (* 0 (/ 0 F)))) into (* 2/15 (/ (pow PI 5) F)) * [misc]taylor: Taking taylor expansion of (* 2/15 (/ (pow PI 5) 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) 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 (* 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 F) (pow l 5))) (+ (* (* 1/3 (pow PI 3)) (* (/ 1 F) (pow l 3))) (* PI (* (/ 1 F) l)))) into (+ (/ (* PI l) F) (+ (* 2/15 (/ (* (pow PI 5) (pow l 5)) F)) (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)))) * [misc]approximate: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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]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 (/ 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)) (cos (/ PI l))) 1) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 F)) into (/ (* F (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 F)) into (/ (* F (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (* F (sin (/ PI l))) (cos (/ PI l))) in F * [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]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 (* 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 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 (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (/ (* F (sin (/ PI l))) (cos (/ 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 (+ (* (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 (- (/ 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 F) (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (/ (* F (sin (/ PI l))) (cos (/ 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 (+ (* -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 (- (/ 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 F) (/ 0 F)) (* 0 (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (/ (* F (sin (/ PI l))) (cos (/ 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 (/ 1 l))) (cos (/ PI (/ 1 l)))) (* (/ 1 F) 1)) into (/ (sin (* PI l)) (* F (cos (* PI l)))) * [misc]approximate: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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]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 (/ 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))) (cos (* -1 (/ PI l)))) -1) into (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (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 (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ -1 F)) into (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (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 (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ -1 F)) into (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -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)))) (cos (* -1 (/ PI l)))) in F * [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]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 (* (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 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 (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) into (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) * [misc]backup-simplify: Simplify (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) into (* -1 (/ (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 (- 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)))) (cos (* -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 (+ 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 (+ (* -1 0) (* 0 (/ (sin (* -1 (/ PI l))) (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 (- 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)))) (cos (* -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 (/ (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 (+ (* -1 0) (+ (* 0 0) (* 0 (/ (sin (* -1 (/ PI l))) (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 (- 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)))) (cos (* -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 (* (* -1 (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l))))))) (* (/ 1 (- F)) 1)) into (/ (sin (* PI l)) (* F (cos (* PI l)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (* l PI) in (l) around 0 * [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]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 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) 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 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) 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 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) 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 PI))))))) 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 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]approximate: Taking taylor expansion of (* (/ 1 l) PI) in (l) around 0 * [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]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 PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) 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 PI))) 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 PI)))) 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 PI))))) 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 PI)))))) 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 PI))))))) 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 (* (/ 1 (- l)) PI) in (l) around 0 * [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]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 (* -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 (+ (* -1 0) (* 0 PI)) 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 PI))) 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 PI)))) 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 PI))))) 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 PI)))))) 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 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (/ 1 (- l)))) into (* PI l) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [exit]simplify: Simplified to (sin (* PI l)) * [enter]simplify: Simplifying (cos (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [exit]simplify: Simplified to (cos (* PI l)) * * * * [misc]progress: [ 2 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (* PI l))) * [exit]simplify: Simplified to (log (tan (* PI l))) * * * * [misc]progress: [ 4 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (* PI l))) * [exit]simplify: Simplified to (exp (tan (* PI l))) * * * * [misc]progress: [ 5 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [enter]simplify: Simplifying (cbrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * * * * [misc]progress: [ 6 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (tan (* l PI)) (tan (* l PI))) (tan (* l PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * * * * [misc]progress: [ 7 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * * * * [misc]progress: [ 8 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (tan (* l PI)) F) F)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (log (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (log (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 11 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (tan (* l PI)) F) F)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (exp (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (exp (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 12 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (tan (* l PI)) F) F)) (cbrt (/ (/ (tan (* l PI)) F) F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))) * [enter]simplify: Simplifying (cbrt (/ (/ (tan (* l PI)) F) F)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 13 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (tan (* l PI)) F) F) (/ (/ (tan (* l PI)) F) F)) (/ (/ (tan (* l PI)) F) F)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * * [misc]simplify: iters left: 1 (484 enodes) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) (* F F)) 3) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) (* F F)) 3) * * * * [misc]progress: [ 14 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (tan (* l PI)) F) F)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) (* F F))) * [enter]simplify: Simplifying (sqrt (/ (/ (tan (* l PI)) F) F)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 15 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (- (/ (tan (* PI l)) F)) * [enter]simplify: Simplifying (- F) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- F) * [exit]simplify: Simplified to (- F) * * * * [misc]progress: [ 16 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 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: [ 18 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (* F F) (tan (* PI l))) * [exit]simplify: Simplified to (/ (* F F) (tan (* PI l))) * * * * [misc]progress: [ 19 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (cbrt (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ F (cbrt (/ (tan (* PI l)) F))) * [exit]simplify: Simplified to (/ F (cbrt (/ (tan (* PI l)) F))) * * * * [misc]progress: [ 20 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (sqrt (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ F (sqrt (/ (tan (* PI l)) F))) * [exit]simplify: Simplified to (/ F (sqrt (/ (tan (* PI l)) F))) * * * * [misc]progress: [ 21 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (* F F) (tan (* PI l))) * [exit]simplify: Simplified to (/ (* F F) (tan (* PI l))) * * * * [misc]progress: [ 22 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (/ 1 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 (* F F) * [exit]simplify: Simplified to (* F F) * * * * [misc]progress: [ 23 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* F F) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* F F) * [exit]simplify: Simplified to (* F F) * * * * [misc]progress: [ 24 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (log (/ (tan (* PI l)) F)) * * * * [misc]progress: [ 26 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (exp (/ (tan (* PI l)) F)) * * * * [misc]progress: [ 27 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (tan (* l PI)) F)) (cbrt (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* PI l)) F)) (cbrt (/ (tan (* PI l)) F))) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* PI l)) F)) (cbrt (/ (tan (* PI l)) F))) * [enter]simplify: Simplifying (cbrt (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) F)) * * * * [misc]progress: [ 28 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (tan (* l PI)) F) (/ (tan (* l PI)) F)) (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) F) 3) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) F) 3) * * * * [misc]progress: [ 29 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) F)) * [enter]simplify: Simplifying (sqrt (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) F)) * * * * [misc]progress: [ 30 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (* l PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (tan (* PI l))) * [exit]simplify: Simplified to (- (tan (* 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: [ 31 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 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: [ 33 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (tan (* l PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * * * * [misc]progress: [ 34 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ F (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (/ F (cbrt (tan (* PI l)))) * * * * [misc]progress: [ 35 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (sqrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ F (sqrt (tan (* PI l)))) * [exit]simplify: Simplified to (/ F (sqrt (tan (* PI l)))) * * * * [misc]progress: [ 36 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (tan (* l PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * * * * [misc]progress: [ 37 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* F (cos (* l PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* F (cos (* PI l))) * [exit]simplify: Simplified to (* F (cos (* PI l))) * * * * [misc]progress: [ 38 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* l PI)) * * [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 (* PI l)) * [exit]simplify: Simplified to (log (* PI l)) * * * * [misc]progress: [ 40 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* PI l)) * [exit]simplify: Simplified to (exp (* PI l)) * * * * [misc]progress: [ 41 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* l PI)) (cbrt (* l PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* PI l)) (cbrt (* PI l))) * [exit]simplify: Simplified to (* (cbrt (* PI l)) (cbrt (* PI l))) * [enter]simplify: Simplifying (cbrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* PI l)) * [exit]simplify: Simplified to (cbrt (* PI l)) * * * * [misc]progress: [ 42 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* l PI) (* l PI)) (* l PI)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (pow (* PI l) 3) * [exit]simplify: Simplified to (pow (* PI l) 3) * * * * [misc]progress: [ 43 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI l)) * [exit]simplify: Simplified to (sqrt (* PI l)) * [enter]simplify: Simplifying (sqrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI l)) * [exit]simplify: Simplified to (sqrt (* PI l)) * * * * [misc]progress: [ 44 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (+ (* 1/3 (* (pow PI 3) (pow l 3))) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (* PI l))) F) F)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (+ (* PI l) (/ (- (- (* (* (* PI l) (* PI l)) (* (* PI l) (- 1/3))) (* (* (pow PI 5) (pow l 5)) 2/15)) (* PI l)) (* F F))) * * * * [misc]progress: [ 47 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (/ (sin (* PI l)) (cos (* PI l))) F) F)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (/ (sin (* PI l)) F) (* (cos (* PI l)) F))) * * * * [misc]progress: [ 48 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (/ (sin (* PI l)) (cos (* PI l))) F) F)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (/ (sin (* PI l)) F) (* (cos (* PI l)) F))) * * * * [misc]progress: [ 49 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (+ (* 2/15 (/ (* (pow PI 5) (pow l 5)) (pow F 2))) (+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2))) (/ (* PI l) (pow F 2))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * [exit]simplify: Simplified to (- (- (- (* PI l) (/ (* PI l) (* F F))) (* (/ (pow PI 3) (* F F)) (* (* 1/3 l) (* l l)))) (/ (* 2/15 (pow PI 5)) (/ (* F F) (pow l 5)))) * * * * [misc]progress: [ 50 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (* (cos (* PI l)) (* F F)))) * * * * [misc]progress: [ 51 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (* (cos (* PI l)) (* F F)))) * * * * [misc]progress: [ 52 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (+ (/ (* PI l) F) (+ (* 2/15 (/ (* (pow PI 5) (pow l 5)) F)) (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)))) F)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (278 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (+ (+ (* (* (/ 1/3 F) (* PI PI)) (* (* l l) (* PI l))) (* (/ 2/15 F) (* (pow PI 5) (pow l 5)))) (/ PI (/ F l))) F)) * * * * [misc]progress: [ 53 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (sin (* PI l)) (* F (cos (* PI l)))) F)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (* (cos (* PI l)) (* F F)))) * * * * [misc]progress: [ 54 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (sin (* PI l)) (* F (cos (* PI l)))) F)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (* (cos (* PI l)) (* F F)))) * * * * [misc]progress: [ 55 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (tan (* PI l)) F) F)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 56 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (tan (* PI l)) F) F)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 57 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (/ (tan (* PI l)) F) F)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (tan (* PI l)) (* F F))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1) * [misc]approximate: Taking taylor expansion of (tan (* l PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (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 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 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 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow PI 3))) 1) (+ (* PI (/ (- (* 1/2 (pow PI 2))) 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 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 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 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (pow PI 2))) 1)) (* (* 1/3 (pow PI 3)) (/ 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 (+ (* 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 (- (/ (* 1/120 (pow PI 5)) 1) (+ (* PI (/ (* 1/24 (pow PI 4)) 1)) (* 0 (/ 0 1)) (* (* 1/3 (pow PI 3)) (/ (- (* 1/2 (pow PI 2))) 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 (* (/ 1 l) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (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 (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (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 (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (/ 1 F) (/ (tan (* l PI)) F)) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ (tan (* l PI)) 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]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) in l * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ PI F) into (/ PI F) * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ (tan (* l PI)) 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]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) in F * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [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 (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]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 F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ (sin (* PI l)) (cos (* PI l))) 1) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (* (/ 1 F) (/ (tan (* l PI)) 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]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) in F * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [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 (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]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 F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ (sin (* PI l)) (cos (* PI l))) 1) 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 (+ (* l 0) (* 0 PI)) 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 (+ (* 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 (- (/ 0 (cos (* PI l))) (+ (* (/ (sin (* PI l)) (cos (* PI l))) (/ 0 (cos (* PI l)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ (sin (* PI l)) (cos (* PI l))) (/ 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 (+ (* 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 (+ (* l 0) (+ (* 0 0) (* 0 PI))) 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 (+ (* l 0) (+ (* 0 0) (* 0 PI))) 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 1) (+ (* (/ (sin (* PI l)) (cos (* PI l))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ (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 (pow PI 2))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow PI 3))) 1) (+ (* PI (/ (- (* 1/2 (pow PI 2))) 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 (+ (* l 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) 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 (+ (* l 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) 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 1) (+ (* (/ (sin (* PI l)) (cos (* PI l))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (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 (pow PI 2))) 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 (+ (* l 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) 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 (+ (* l 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) 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 1) (+ (* (/ (sin (* PI l)) (cos (* PI l))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (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) (pow F -2))) (* PI (* l (pow F -2)))) into (+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2))) (/ (* PI l) (pow F 2))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ 1 F)) (/ (tan (* (/ 1 l) PI)) (/ 1 F))) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 F)) (/ (tan (* (/ 1 l) PI)) (/ 1 F))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ 1 F)) into F * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 F)) into (/ (* F (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 F)) (/ (tan (* (/ 1 l) PI)) (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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]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 (/ 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)) (cos (/ PI l))) 1) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 F)) (/ (tan (* (/ 1 l) PI)) (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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]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 (/ 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)) (cos (/ PI l))) 1) 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 (+ (* (/ 1 l) 0) (* 0 PI)) 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 (+ (* (/ 1 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 (- (/ 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 (- (/ 0 1) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ (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 (+ (* (/ 1 l) 0) (+ (* 0 0) (* 0 PI))) 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 (+ (* (/ 1 l) 0) (+ (* 0 0) (* 0 PI))) 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 (- (/ 0 1) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 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 (+ (* (/ 1 l) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) 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 (+ (* (/ 1 l) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) 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 (- (/ 0 1) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 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 (/ 1 l))) (cos (/ PI (/ 1 l)))) (pow (* 1 (/ 1 F)) 2)) into (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l)))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (/ 1 (- F))) (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F)))) in (F l) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- F))) (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F)))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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 (/ -1 F)) into (* -1 F) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (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 (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ -1 F)) into (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- F))) (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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]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 (/ 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))) (cos (* -1 (/ PI l)))) -1) into (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) * [misc]taylor: Taking taylor expansion of (* (/ 1 (/ 1 (- F))) (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (/ 1 (/ 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]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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]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 (/ 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))) (cos (* -1 (/ PI l)))) -1) into (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) * [misc]backup-simplify: Simplify (* -1 (* -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 (+ (* (/ -1 l) 0) (* 0 PI)) 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 (+ (* (/ -1 l) 0) (* 0 PI)) 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 (- (/ 0 -1) (+ (* (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (* -1 (/ (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 (+ (* (/ -1 l) 0) (+ (* 0 0) (* 0 PI))) 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 (+ (* (/ -1 l) 0) (+ (* 0 0) (* 0 PI))) 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 (- (/ 0 -1) (+ (* (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (* -1 (/ (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 (+ (* (/ -1 l) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) 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 (+ (* (/ -1 l) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) 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 (- (/ 0 -1) (+ (* (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (/ (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 (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) (pow (* 1 (/ 1 (- F))) 2)) into (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (/ (tan (* l PI)) F) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) in F * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [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 (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]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 F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ (sin (* PI l)) (cos (* PI l))) 1) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) in l * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ PI F) into (/ PI F) * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) in l * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [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) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 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 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow PI 3))) 1) (+ (* PI (/ (- (* 1/2 (pow PI 2))) 1)) (* 0 (/ 0 1)))) into (* 1/3 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/3 (pow PI 3)) F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)))) into (* 1/3 (/ (pow PI 3) F)) * [misc]taylor: Taking taylor expansion of (* 1/3 (/ (pow PI 3) 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) 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 (* 1/3 (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 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 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 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (pow PI 2))) 1)) (* (* 1/3 (pow PI 3)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)) (* (* 1/3 (/ (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 (+ (* 1/3 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 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 (+ (* 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 (- (/ (* 1/120 (pow PI 5)) 1) (+ (* PI (/ (* 1/24 (pow PI 4)) 1)) (* 0 (/ 0 1)) (* (* 1/3 (pow PI 3)) (/ (- (* 1/2 (pow PI 2))) 1)) (* 0 (/ 0 1)))) into (* 2/15 (pow PI 5)) * [misc]backup-simplify: Simplify (- (/ (* 2/15 (pow PI 5)) F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)) (* (* 1/3 (/ (pow PI 3) F)) (/ 0 F)) (* 0 (/ 0 F)))) into (* 2/15 (/ (pow PI 5) F)) * [misc]taylor: Taking taylor expansion of (* 2/15 (/ (pow PI 5) 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) 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 (* 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 F) (pow l 5))) (+ (* (* 1/3 (pow PI 3)) (* (/ 1 F) (pow l 3))) (* PI (* (/ 1 F) l)))) into (+ (/ (* PI l) F) (+ (* 2/15 (/ (* (pow PI 5) (pow l 5)) F)) (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)))) * [misc]approximate: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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]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 (/ 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)) (cos (/ PI l))) 1) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 F)) into (/ (* F (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 F)) into (/ (* F (sin (/ PI l))) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (/ (* F (sin (/ PI l))) (cos (/ PI l))) in F * [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]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 (* 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 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 (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (/ (* F (sin (/ PI l))) (cos (/ 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 (+ (* (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 (- (/ 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 F) (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (/ (* F (sin (/ PI l))) (cos (/ 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 (+ (* -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 (- (/ 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 F) (/ 0 F)) (* 0 (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (/ (* F (sin (/ PI l))) (cos (/ 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 (/ 1 l))) (cos (/ PI (/ 1 l)))) (* (/ 1 F) 1)) into (/ (sin (* PI l)) (* F (cos (* PI l)))) * [misc]approximate: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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]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 (/ 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))) (cos (* -1 (/ PI l)))) -1) into (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (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 (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ -1 F)) into (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (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 (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ -1 F)) into (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) * [misc]taylor: Taking taylor expansion of (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -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)))) (cos (* -1 (/ PI l)))) in F * [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]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 (* (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 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 (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) into (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) * [misc]backup-simplify: Simplify (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) into (* -1 (/ (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 (- 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)))) (cos (* -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 (+ 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 (+ (* -1 0) (* 0 (/ (sin (* -1 (/ PI l))) (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 (- 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)))) (cos (* -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 (/ (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 (+ (* -1 0) (+ (* 0 0) (* 0 (/ (sin (* -1 (/ PI l))) (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 (- 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)))) (cos (* -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 (* (* -1 (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l))))))) (* (/ 1 (- F)) 1)) into (/ (sin (* PI l)) (* F (cos (* PI l)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1 1) * [misc]approximate: Taking taylor expansion of (* l PI) in (l) around 0 * [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]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 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) 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 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) 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 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) 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 PI))))))) 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 PI)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI l) into (* PI l) * [misc]approximate: Taking taylor expansion of (* (/ 1 l) PI) in (l) around 0 * [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]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 PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 PI)) 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 PI))) 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 PI)))) 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 PI))))) 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 PI)))))) 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 PI))))))) 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 (* (/ 1 (- l)) PI) in (l) around 0 * [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]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 (* -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 (+ (* -1 0) (* 0 PI)) 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 PI))) 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 PI)))) 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 PI))))) 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 PI)))))) 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 PI))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (/ 1 (- l)))) into (* PI l) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [exit]simplify: Simplified to (sin (* PI l)) * [enter]simplify: Simplifying (cos (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [exit]simplify: Simplified to (cos (* PI l)) * * * * [misc]progress: [ 2 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (* PI l))) * [exit]simplify: Simplified to (log (tan (* PI l))) * * * * [misc]progress: [ 4 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (* PI l))) * [exit]simplify: Simplified to (exp (tan (* PI l))) * * * * [misc]progress: [ 5 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [enter]simplify: Simplifying (cbrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * * * * [misc]progress: [ 6 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (tan (* l PI)) (tan (* l PI))) (tan (* l PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * * * * [misc]progress: [ 7 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * * * * [misc]progress: [ 8 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 F) (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (tan (* l PI)) (* F F)) * [exit]simplify: Simplified to (/ (tan (* l PI)) (* F F)) * * * * [misc]progress: [ 10 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ 1 F)) (log (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * [exit]simplify: Simplified to (- (log (tan (* PI l))) (+ (log F) (log F))) * [exit]simplify: Simplified to (- (log (tan (* PI l))) (+ (log F) (log F))) * * * * [misc]progress: [ 12 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ 1 F) (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (log (/ (tan (* l PI)) (* F F))) * [exit]simplify: Simplified to (log (/ (tan (* l PI)) (* F F))) * * * * [misc]progress: [ 13 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ 1 F) (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (exp (/ (tan (* l PI)) (* F F))) * [exit]simplify: Simplified to (exp (/ (tan (* l PI)) (* F F))) * * * * [misc]progress: [ 14 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 F) (/ 1 F)) (/ 1 F)) (* (* (/ (tan (* l PI)) F) (/ (tan (* l PI)) F)) (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (320 enodes) * [exit]simplify: Simplified to (* (* (/ (tan (* PI l)) (* F F)) (/ (tan (* PI l)) (* F F))) (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (* (* (/ (tan (* PI l)) (* F F)) (/ (tan (* PI l)) (* F F))) (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 15 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ 1 F) (/ (tan (* l PI)) F))) (cbrt (* (/ 1 F) (/ (tan (* l PI)) F)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* l PI)) (* F F))) (cbrt (/ (tan (* l PI)) (* F F)))) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* l PI)) (* F F))) (cbrt (/ (tan (* l PI)) (* F F)))) * [enter]simplify: Simplifying (cbrt (* (/ 1 F) (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (cbrt (/ (tan (* l PI)) (* F F))) * [exit]simplify: Simplified to (cbrt (/ (tan (* l PI)) (* F F))) * * * * [misc]progress: [ 16 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ 1 F) (/ (tan (* l PI)) F)) (* (/ 1 F) (/ (tan (* l PI)) F))) (* (/ 1 F) (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (293 enodes) * [exit]simplify: Simplified to (pow (/ (tan (* l PI)) (* F F)) 3) * [exit]simplify: Simplified to (pow (/ (tan (* l PI)) (* F F)) 3) * * * * [misc]progress: [ 17 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ 1 F) (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* l PI)) (* F F))) * [exit]simplify: Simplified to (sqrt (/ (tan (* l PI)) (* F F))) * [enter]simplify: Simplifying (sqrt (* (/ 1 F) (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* l PI)) (* F F))) * [exit]simplify: Simplified to (sqrt (/ (tan (* l PI)) (* F F))) * * * * [misc]progress: [ 18 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (tan (* l PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (tan (* PI l)) * [exit]simplify: Simplified to (tan (* PI l)) * [enter]simplify: Simplifying (* F F) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* F F) * [exit]simplify: Simplified to (* F F) * * * * [misc]progress: [ 19 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 F) (* (cbrt (/ (tan (* l PI)) F)) (cbrt (/ (tan (* l PI)) F)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (tan (* l PI)) F)) F) (cbrt (/ (tan (* l PI)) F))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (tan (* l PI)) F)) F) (cbrt (/ (tan (* l PI)) F))) * * * * [misc]progress: [ 21 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 F) (sqrt (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (tan (* l PI)) F)) F) * [exit]simplify: Simplified to (/ (sqrt (/ (tan (* l PI)) F)) F) * * * * [misc]progress: [ 22 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 F) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ 1 F) * [exit]simplify: Simplified to (/ 1 F) * * * * [misc]progress: [ 23 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 F) (tan (* l PI))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (tan (* l PI)) F) * [exit]simplify: Simplified to (/ (tan (* l PI)) F) * * * * [misc]progress: [ 24 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 F)) (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 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 (* (/ (cbrt (/ 1 F)) F) (tan (* PI l))) * [exit]simplify: Simplified to (* (/ (cbrt (/ 1 F)) F) (tan (* PI l))) * * * * [misc]progress: [ 25 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ 1 F)) (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 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 (* (/ (sqrt (/ 1 F)) F) (tan (* PI l))) * [exit]simplify: Simplified to (* (/ (sqrt (/ 1 F)) F) (tan (* PI l))) * * * * [misc]progress: [ 26 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 F) (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (tan (* l PI)) (* F F)) * [exit]simplify: Simplified to (/ (tan (* l PI)) (* F F)) * * * * [misc]progress: [ 27 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 F) (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (tan (* l PI)) (* F F)) * [exit]simplify: Simplified to (/ (tan (* l PI)) (* F F)) * * * * [misc]progress: [ 28 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 F) (tan (* l PI))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (tan (* l PI)) F) * [exit]simplify: Simplified to (/ (tan (* l PI)) F) * * * * [misc]progress: [ 29 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1 (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (tan (* PI l)) F) * [exit]simplify: Simplified to (/ (tan (* PI l)) F) * * * * [misc]progress: [ 30 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (log (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (log (/ (tan (* PI l)) F)) * * * * [misc]progress: [ 33 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (exp (/ (tan (* PI l)) F)) * * * * [misc]progress: [ 34 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (tan (* l PI)) F)) (cbrt (/ (tan (* l PI)) F))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* PI l)) F)) (cbrt (/ (tan (* PI l)) F))) * [exit]simplify: Simplified to (* (cbrt (/ (tan (* PI l)) F)) (cbrt (/ (tan (* PI l)) F))) * [enter]simplify: Simplifying (cbrt (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) F)) * * * * [misc]progress: [ 35 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (tan (* l PI)) F) (/ (tan (* l PI)) F)) (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) F) 3) * [exit]simplify: Simplified to (pow (/ (tan (* PI l)) F) 3) * * * * [misc]progress: [ 36 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) F)) * [enter]simplify: Simplifying (sqrt (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (sqrt (/ (tan (* PI l)) F)) * * * * [misc]progress: [ 37 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (tan (* l PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (tan (* PI l))) * [exit]simplify: Simplified to (- (tan (* 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: [ 38 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 64 ] 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: [ 40 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (tan (* l PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * * * * [misc]progress: [ 41 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ F (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (/ F (cbrt (tan (* PI l)))) * * * * [misc]progress: [ 42 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (sqrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ F (sqrt (tan (* PI l)))) * [exit]simplify: Simplified to (/ F (sqrt (tan (* PI l)))) * * * * [misc]progress: [ 43 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ F (tan (* l PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * [exit]simplify: Simplified to (/ F (tan (* PI l))) * * * * [misc]progress: [ 44 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* F (cos (* l PI))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* F (cos (* PI l))) * [exit]simplify: Simplified to (* F (cos (* PI l))) * * * * [misc]progress: [ 45 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* l PI)) * * [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 (* PI l)) * [exit]simplify: Simplified to (log (* PI l)) * * * * [misc]progress: [ 47 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (exp (* PI l)) * [exit]simplify: Simplified to (exp (* PI l)) * * * * [misc]progress: [ 48 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* l PI)) (cbrt (* l PI))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (* PI l)) (cbrt (* PI l))) * [exit]simplify: Simplified to (* (cbrt (* PI l)) (cbrt (* PI l))) * [enter]simplify: Simplifying (cbrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (* PI l)) * [exit]simplify: Simplified to (cbrt (* PI l)) * * * * [misc]progress: [ 49 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* l PI) (* l PI)) (* l PI)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (pow (* PI l) 3) * [exit]simplify: Simplified to (pow (* PI l) 3) * * * * [misc]progress: [ 50 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI l)) * [exit]simplify: Simplified to (sqrt (* PI l)) * [enter]simplify: Simplifying (sqrt (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (* PI l)) * [exit]simplify: Simplified to (sqrt (* PI l)) * * * * [misc]progress: [ 51 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (/ 1 F) (/ (+ (* 1/3 (* (pow PI 3) (pow l 3))) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (* PI l))) F))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (485 enodes) * [exit]simplify: Simplified to (- (- (* PI l) (* (* (/ 1 F) 1/3) (* (* (* PI PI) (* PI l)) (* (* l l) (/ 1 F))))) (* (+ (* (* (/ 1 F) (pow PI 5)) (* (pow l 5) 2/15)) (/ (* PI l) F)) (/ 1 F))) * * * * [misc]progress: [ 54 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (/ 1 F) (/ (/ (sin (* PI l)) (cos (* PI l))) F))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (440 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (/ (sin (* PI l)) (cos (* PI l))) (* F F))) * * * * [misc]progress: [ 55 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (/ 1 F) (/ (/ (sin (* PI l)) (cos (* PI l))) F))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (440 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (/ (sin (* PI l)) (cos (* PI l))) (* F F))) * * * * [misc]progress: [ 56 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) (pow F 2))) (/ (* PI l) (pow F 2)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (443 enodes) * [exit]simplify: Simplified to (- (- (* PI l) (* (/ l F) (/ PI F))) (/ (* (pow l 3) (* 1/3 PI)) (* (/ F PI) (/ F PI)))) * * * * [misc]progress: [ 57 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (* (cos (* PI l)) (* F F)))) * * * * [misc]progress: [ 58 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (/ (sin (* PI l)) (* (pow F 2) (cos (* PI l))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (sin (* PI l)) (* (cos (* PI l)) (* F F)))) * * * * [misc]progress: [ 59 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (/ 1 F) (+ (/ (* PI l) F) (+ (* 2/15 (/ (* (pow PI 5) (pow l 5)) F)) (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (- (- (* PI l) (/ (/ l (/ F PI)) F)) (/ (+ (* (/ (* PI PI) (/ F PI)) (* (* 1/3 l) (* l l))) (* (/ (pow PI 5) F) (* 2/15 (pow l 5)))) F)) * * * * [misc]progress: [ 60 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (/ 1 F) (/ (sin (* PI l)) (* F (cos (* PI l)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (479 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (/ (sin (* PI l)) (cos (* PI l))) (* F F))) * * * * [misc]progress: [ 61 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (/ 1 F) (/ (sin (* PI l)) (* F (cos (* PI l)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (479 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (/ (sin (* PI l)) (cos (* PI l))) (* F F))) * * * * [misc]progress: [ 62 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (/ 1 F) (/ (tan (* PI l)) F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 63 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (/ 1 F) (/ (tan (* PI l)) F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 64 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (/ 1 F) (/ (tan (* PI l)) F))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (- (* PI l) (/ (tan (* PI l)) (* F F))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (tan (* l PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (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 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 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 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow PI 3))) 1) (+ (* PI (/ (- (* 1/2 (pow PI 2))) 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 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 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 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (pow PI 2))) 1)) (* (* 1/3 (pow PI 3)) (/ 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 (+ (* 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 (- (/ (* 1/120 (pow PI 5)) 1) (+ (* PI (/ (* 1/24 (pow PI 4)) 1)) (* 0 (/ 0 1)) (* (* 1/3 (pow PI 3)) (/ (- (* 1/2 (pow PI 2))) 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 (* (/ 1 l) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (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 (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (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 (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) * [misc]approximate: Taking taylor expansion of (tan (* l PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (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 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 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 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow PI 3))) 1) (+ (* PI (/ (- (* 1/2 (pow PI 2))) 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 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 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 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (pow PI 2))) 1)) (* (* 1/3 (pow PI 3)) (/ 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 (+ (* 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 (- (/ (* 1/120 (pow PI 5)) 1) (+ (* PI (/ (* 1/24 (pow PI 4)) 1)) (* 0 (/ 0 1)) (* (* 1/3 (pow PI 3)) (/ (- (* 1/2 (pow PI 2))) 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 (* (/ 1 l) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (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 (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (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 (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1 1 1) * [misc]approximate: Taking taylor expansion of (tan (* l PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (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 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 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 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow PI 3))) 1) (+ (* PI (/ (- (* 1/2 (pow PI 2))) 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 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 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 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (pow PI 2))) 1)) (* (* 1/3 (pow PI 3)) (/ 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 (+ (* 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 (- (/ (* 1/120 (pow PI 5)) 1) (+ (* PI (/ (* 1/24 (pow PI 4)) 1)) (* 0 (/ 0 1)) (* (* 1/3 (pow PI 3)) (/ (- (* 1/2 (pow PI 2))) 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 (* (/ 1 l) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (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 (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]approximate: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in (l) around 0 * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (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 (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ (tan (* l PI)) F) F)) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (tan (* l PI)) F) F)) in F * [misc]taylor: Rewrote expression to (pow (/ (/ (tan (* l PI)) F) F) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (tan (* l PI)) F) F)))) in F * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (tan (* l PI)) F) 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 (log (/ (/ (tan (* l PI)) F) F)) in F * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* l PI)) F) F) in F * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) in F * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l PI))) * [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 (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]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 F in F * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ (sin (* PI l)) (cos (* PI l))) 1) into (/ (sin (* PI l)) (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)) (cos (* PI l))) 1) into (/ (sin (* PI l)) (cos (* PI l))) * [misc]backup-simplify: Simplify (log (/ (sin (* PI l)) (cos (* PI l)))) into (log (/ (sin (* PI l)) (cos (* PI l)))) * [misc]backup-simplify: Simplify (+ (* (- 2) (log F)) (log (/ (sin (* PI l)) (cos (* PI l))))) into (- (log (/ (sin (* PI l)) (cos (* PI l)))) (* 2 (log F))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (/ (sin (* PI l)) (cos (* PI l)))) (* 2 (log F)))) into (* 1/3 (- (log (/ (sin (* PI l)) (cos (* PI l)))) (* 2 (log F)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (/ (sin (* PI l)) (cos (* PI l)))) (* 2 (log F))))) into (exp (* 1/3 (- (log (/ (sin (* PI l)) (cos (* PI l)))) (* 2 (log F))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (tan (* l PI)) F) F)) in l * [misc]taylor: Rewrote expression to (pow (/ (/ (tan (* l PI)) F) F) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (tan (* l PI)) F) F)))) in l * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (tan (* l PI)) F) F))) in l * [misc]taylor: Taking taylor expansion of 1/3 in l * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (tan (* l PI)) F) F)) in l * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* l PI)) F) F) in l * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) in l * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ PI F) into (/ PI F) * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ (/ PI F) F) into (/ PI (pow F 2)) * [misc]backup-simplify: Simplify (log (/ PI (pow F 2))) into (log (/ PI (pow F 2))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log l)) (log (/ PI (pow F 2)))) into (+ (log (/ PI (pow F 2))) (log l)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ PI (pow F 2))) (log l))) into (* 1/3 (+ (log (/ PI (pow F 2))) (log l))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ PI (pow F 2))) (log l)))) into (exp (* 1/3 (+ (log (/ PI (pow F 2))) (log l)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (tan (* l PI)) F) F)) in l * [misc]taylor: Rewrote expression to (pow (/ (/ (tan (* l PI)) F) F) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (tan (* l PI)) F) F)))) in l * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (tan (* l PI)) F) F))) in l * [misc]taylor: Taking taylor expansion of 1/3 in l * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (tan (* l PI)) F) F)) in l * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* l PI)) F) F) in l * [misc]taylor: Taking taylor expansion of (/ (tan (* l PI)) F) in l * [misc]taylor: Taking taylor expansion of (tan (* l PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* l PI)) (cos (* l 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]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 (/ (pow PI 1) 1))) into PI * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ PI F) into (/ PI F) * [misc]taylor: Taking taylor expansion of F in l * [misc]backup-simplify: Simplify F into F * [misc]backup-simplify: Simplify (/ (/ PI F) F) into (/ PI (pow F 2)) * [misc]backup-simplify: Simplify (log (/ PI (pow F 2))) into (log (/ PI (pow F 2))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log l)) (log (/ PI (pow F 2)))) into (+ (log (/ PI (pow F 2))) (log l)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ PI (pow F 2))) (log l))) into (* 1/3 (+ (log (/ PI (pow F 2))) (log l))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ PI (pow F 2))) (log l)))) into (exp (* 1/3 (+ (log (/ PI (pow F 2))) (log l)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (/ PI (pow F 2))) (log l)))) in F * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (/ PI (pow F 2))) (log l))) 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 (+ (log (/ PI (pow F 2))) (log l)) in F * [misc]taylor: Taking taylor expansion of (log (/ PI (pow F 2))) in F * [misc]taylor: Taking taylor expansion of (/ PI (pow F 2)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]taylor: Taking taylor expansion of (log l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (log l) into (log l) * [misc]backup-simplify: Simplify (+ (* (- 2) (log F)) (log PI)) into (- (log PI) (* 2 (log F))) * [misc]backup-simplify: Simplify (+ (- (log PI) (* 2 (log F))) (log l)) into (- (+ (log PI) (log l)) (* 2 (log F))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F)))) into (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F))))) into (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F))))) into (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F))))) * [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 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 F) (+ (* (/ PI F) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 F) (+ (* (/ PI (pow F 2)) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ PI (pow F 2)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log l)) (log (/ PI (pow F 2)))) into (+ (log (/ PI (pow F 2))) (log l)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ PI (pow F 2))) (log l)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ PI (pow F 2))) (log l)))) (+ (* (/ (pow 0 1) 1)))) 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) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow l 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (+ (log PI) (log l)) (* 2 (log F))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F))))) (+ (* (/ (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 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/6 (pow PI 3))) 1) (+ (* PI (/ (- (* 1/2 (pow PI 2))) 1)) (* 0 (/ 0 1)))) into (* 1/3 (pow PI 3)) * [misc]backup-simplify: Simplify (- (/ (* 1/3 (pow PI 3)) F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)))) into (* 1/3 (/ (pow PI 3) F)) * [misc]backup-simplify: Simplify (- (/ (* 1/3 (/ (pow PI 3) F)) F) (+ (* (/ PI (pow F 2)) (/ 0 F)) (* 0 (/ 0 F)))) into (* 1/3 (/ (pow PI 3) (pow F 2))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ PI (pow F 2)) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/3 (/ (pow PI 3) (pow F 2)))) 1)) (pow (/ PI (pow F 2)) 1)))) 2) into (* 1/3 (pow PI 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log l)) (log (/ PI (pow F 2)))) into (+ (log (/ PI (pow F 2))) (log l)) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/3 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log (/ PI (pow F 2))) (log l))))) into (* 1/9 (pow PI 2)) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ PI (pow F 2))) (log l)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/9 (pow PI 2)) 1) 1)))) into (* 1/9 (* (pow PI 2) (exp (* 1/3 (+ (log (/ PI (pow F 2))) (log l)))))) * [misc]taylor: Taking taylor expansion of (* 1/9 (* (pow PI 2) (exp (* 1/3 (+ (log (/ PI (pow F 2))) (log l)))))) in F * [misc]taylor: Taking taylor expansion of 1/9 in F * [misc]backup-simplify: Simplify 1/9 into 1/9 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (exp (* 1/3 (+ (log (/ PI (pow F 2))) (log l))))) in F * [misc]taylor: Taking taylor expansion of (pow PI 2) in F * [misc]taylor: Taking taylor expansion of (exp (* 2 (log PI))) in F * [misc]taylor: Taking taylor expansion of (* 2 (log PI)) in F * [misc]taylor: Taking taylor expansion of 2 in F * [misc]backup-simplify: Simplify 2 into 2 * [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 (* 2 (log PI)) into (* 2 (log PI)) * [misc]backup-simplify: Simplify (exp (* 2 (log PI))) into (pow PI 2) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (+ (log (/ PI (pow F 2))) (log l)))) in F * [misc]taylor: Taking taylor expansion of (* 1/3 (+ (log (/ PI (pow F 2))) (log l))) 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 (+ (log (/ PI (pow F 2))) (log l)) in F * [misc]taylor: Taking taylor expansion of (log (/ PI (pow F 2))) in F * [misc]taylor: Taking taylor expansion of (/ PI (pow F 2)) in F * [misc]taylor: Taking taylor expansion of PI in F * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (log PI) into (log PI) * [misc]taylor: Taking taylor expansion of (log l) in F * [misc]taylor: Taking taylor expansion of l in F * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (log l) into (log l) * [misc]backup-simplify: Simplify (+ (* (- 2) (log F)) (log PI)) into (- (log PI) (* 2 (log F))) * [misc]backup-simplify: Simplify (+ (- (log PI) (* 2 (log F))) (log l)) into (- (+ (log PI) (log l)) (* 2 (log F))) * [misc]backup-simplify: Simplify (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F)))) into (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F))))) into (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F))))) * [misc]backup-simplify: Simplify (* (pow PI 2) (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F)))))) into (* (pow PI 2) (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F)))))) * [misc]backup-simplify: Simplify (* 1/9 (* (pow PI 2) (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F))))))) into (* 1/9 (* (pow PI 2) (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F))))))) * [misc]backup-simplify: Simplify (* 1/9 (* (pow PI 2) (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F))))))) into (* 1/9 (* (pow PI 2) (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F))))))) * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow l 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow l 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (+ (log PI) (log l)) (* 2 (log F)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F))))) (+ (* (/ (pow 0 2) 2)) (* (/ (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 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 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 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (pow PI 2))) 1)) (* (* 1/3 (pow PI 3)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)) (* (* 1/3 (/ (pow PI 3) F)) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 F) (+ (* (/ PI (pow F 2)) (/ 0 F)) (* 0 (/ 0 F)) (* (* 1/3 (/ (pow PI 3) (pow F 2))) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ PI (pow F 2)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/3 (/ (pow PI 3) (pow F 2)))) 1)) (pow (/ PI (pow F 2)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ PI (pow F 2)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log l)) (log (/ PI (pow F 2)))) into (+ (log (/ PI (pow F 2))) (log l)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (* 1/3 (pow PI 2))) (+ (* 0 0) (* 0 (+ (log (/ PI (pow F 2))) (log l)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ PI (pow F 2))) (log l)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/9 (pow PI 2)) 1) 1)) (* (/ (pow 0 1) 1)))) 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) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow l 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (+ (log PI) (log l)) (* 2 (log F))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (log PI))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 2 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/9 0) (* 0 (* (pow PI 2) (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F)))))))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow l 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow l 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow l 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (+ (log PI) (log l)) (* 2 (log F))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/9 (* (pow PI 2) (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F))))))) (pow (* 1 l) 2)) (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F)))))) into (+ (* 1/9 (* (pow PI 2) (* (pow l 2) (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F)))))))) (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F)))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F))) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F))) in F * [misc]taylor: Rewrote expression to (pow (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F))))) in F * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 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 (log (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F))) in F * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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]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 (/ 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)) (cos (/ PI l))) 1) into (/ (sin (/ PI l)) (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)) (cos (/ PI l))) 1) into (/ (sin (/ PI l)) (cos (/ PI l))) * [misc]backup-simplify: Simplify (log (/ (sin (/ PI l)) (cos (/ PI l)))) into (log (/ (sin (/ PI l)) (cos (/ PI l)))) * [misc]backup-simplify: Simplify (+ (* (- -2) (log F)) (log (/ (sin (/ PI l)) (cos (/ PI l))))) into (+ (log (/ (sin (/ PI l)) (cos (/ PI l)))) (* 2 (log F))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ (sin (/ PI l)) (cos (/ PI l)))) (* 2 (log F)))) into (* 1/3 (+ (log (/ (sin (/ PI l)) (cos (/ PI l)))) (* 2 (log F)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ (sin (/ PI l)) (cos (/ PI l)))) (* 2 (log F))))) into (exp (* 1/3 (+ (log (/ (sin (/ PI l)) (cos (/ PI l)))) (* 2 (log F))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F))) in l * [misc]taylor: Rewrote expression to (pow (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F))))) in l * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F)))) in l * [misc]taylor: Taking taylor expansion of 1/3 in l * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F))) in l * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 F)) into (/ (* F (sin (/ PI l))) (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 (/ (/ (* F (sin (/ PI l))) (cos (/ PI l))) (/ 1 F)) into (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) * [misc]backup-simplify: Simplify (log (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l)))) into (log (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))))) into (* 1/3 (log (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l)))))) into (pow (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F))) in l * [misc]taylor: Rewrote expression to (pow (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F))))) in l * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F)))) in l * [misc]taylor: Taking taylor expansion of 1/3 in l * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F))) in l * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* (/ 1 l) PI)) (/ 1 F)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 l) PI)) (/ 1 F)) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 l) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 l) PI)) (cos (* (/ 1 l) PI))) * [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 (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 (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (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 (/ (/ (sin (/ PI l)) (cos (/ PI l))) (/ 1 F)) into (/ (* F (sin (/ PI l))) (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 (/ (/ (* F (sin (/ PI l))) (cos (/ PI l))) (/ 1 F)) into (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) * [misc]backup-simplify: Simplify (log (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l)))) into (log (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l)))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))))) into (* 1/3 (log (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l)))))) into (pow (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) 1/3) in F * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l)))))) in F * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))))) 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 (log (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l)))) in F * [misc]taylor: Taking taylor expansion of (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (* (pow F 2) (sin (/ PI l))) in F * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [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 (* 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 (log (/ (sin (/ PI l)) (cos (/ PI l)))) into (log (/ (sin (/ PI l)) (cos (/ PI l)))) * [misc]backup-simplify: Simplify (+ (* (- -2) (log F)) (log (/ (sin (/ PI l)) (cos (/ PI l))))) into (+ (log (/ (sin (/ PI l)) (cos (/ PI l)))) (* 2 (log F))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ (sin (/ PI l)) (cos (/ PI l)))) (* 2 (log F)))) into (* 1/3 (+ (log (/ (sin (/ PI l)) (cos (/ PI l)))) (* 2 (log F)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ (sin (/ PI l)) (cos (/ PI l)))) (* 2 (log F))))) into (exp (* 1/3 (+ (log (/ (sin (/ PI l)) (cos (/ PI l)))) (* 2 (log F))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ (sin (/ PI l)) (cos (/ PI l)))) (* 2 (log F))))) into (exp (* 1/3 (+ (log (/ (sin (/ PI l)) (cos (/ PI l)))) (* 2 (log F))))) * [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 F) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (/ (* F (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 F))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 F) (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 F))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l)))))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* (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 (+ (* 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (sin (/ PI l)) (cos (/ PI l))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log F)) (log (/ (sin (/ PI l)) (cos (/ PI l))))) into (+ (log (/ (sin (/ PI l)) (cos (/ PI l)))) (* 2 (log F))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ (sin (/ PI l)) (cos (/ PI l)))) (* 2 (log F))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ (sin (/ PI l)) (cos (/ PI l)))) (* 2 (log F))))) (+ (* (/ (pow 0 1) 1)))) 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 (- (+ (* (/ 1 F) (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (/ (* F (sin (/ PI l))) (cos (/ 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 (- (/ 0 (/ 1 F)) (+ (* (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 F))) (* 0 (/ 0 (/ 1 F))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 (+ (* 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (sin (/ PI l)) (cos (/ PI l))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (sin (/ PI l)) (cos (/ PI l))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log F)) (log (/ (sin (/ PI l)) (cos (/ PI l))))) into (+ (log (/ (sin (/ PI l)) (cos (/ PI l)))) (* 2 (log F))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (/ (sin (/ PI l)) (cos (/ PI l)))) (* 2 (log F)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ (sin (/ PI l)) (cos (/ PI l)))) (* 2 (log F))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (- (+ (* (/ 1 F) (/ 0 F)) (* 0 (/ 0 F)) (* 0 (/ 0 F)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 F)) (+ (* (/ (* F (sin (/ PI l))) (cos (/ 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 (- (/ 0 (/ 1 F)) (+ (* (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) (/ 0 (/ 1 F))) (* 0 (/ 0 (/ 1 F))) (* 0 (/ 0 (/ 1 F))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (* (pow F 2) (sin (/ PI l))) (cos (/ PI l)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (exp (* 1/3 (+ (log (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l))))) (* 2 (log (/ 1 F)))))) into (exp (* 1/3 (+ (log (/ (sin (* PI l)) (cos (* PI l)))) (* 2 (log (/ 1 F)))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F)))) in (l F) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F)))) in F * [misc]taylor: Rewrote expression to (pow (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F)))))) in F * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- 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 (log (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F)))) in F * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in F * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in F * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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]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 (/ 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))) (cos (* -1 (/ PI l)))) -1) into (* -1 (/ (sin (* -1 (/ PI l))) (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 (/ (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) -1) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) into (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) * [misc]backup-simplify: Simplify (+ (* (- -2) (log F)) (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))))) into (+ (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (* 2 (log F))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (* 2 (log F)))) into (* 1/3 (+ (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (* 2 (log F)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (* 2 (log F))))) into (exp (* 1/3 (+ (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (* 2 (log F))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F)))) in l * [misc]taylor: Rewrote expression to (pow (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F)))))) in l * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F))))) in l * [misc]taylor: Taking taylor expansion of 1/3 in l * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F)))) in l * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (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 (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ -1 F)) into (* -1 (/ (* F (sin (* -1 (/ PI l)))) (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 (/ (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) (/ -1 F)) into (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (log (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) into (log (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))))) into (* 1/3 (log (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))))) into (pow (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F)))) in l * [misc]taylor: Rewrote expression to (pow (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F)))))) in l * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F))))) in l * [misc]taylor: Taking taylor expansion of 1/3 in l * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F)))) in l * [misc]taylor: Taking taylor expansion of (/ (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (/ (tan (* (/ 1 (- l)) PI)) (/ 1 (- F))) in l * [misc]taylor: Taking taylor expansion of (tan (* (/ 1 (- l)) PI)) in l * [misc]taylor: Rewrote expression to (/ (sin (* (/ 1 (- l)) PI)) (cos (* (/ 1 (- l)) PI))) * [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 (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 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (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 (/ (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ -1 F)) into (* -1 (/ (* F (sin (* -1 (/ PI l)))) (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 (/ (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) (/ -1 F)) into (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) * [misc]backup-simplify: Simplify (log (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) into (log (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) * [misc]backup-simplify: Simplify (* 1/3 (log (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))))) into (* 1/3 (log (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))))) into (pow (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) 1/3) in F * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))))) in F * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))))) 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 (log (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) in F * [misc]taylor: Taking taylor expansion of (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) in F * [misc]taylor: Taking taylor expansion of (* (pow F 2) (sin (* -1 (/ PI l)))) in F * [misc]taylor: Taking taylor expansion of (pow F 2) in F * [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 (* (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]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 (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) into (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) * [misc]backup-simplify: Simplify (+ (* (- -2) (log F)) (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))))) into (+ (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (* 2 (log F))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (* 2 (log F)))) into (* 1/3 (+ (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (* 2 (log F)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (* 2 (log F))))) into (exp (* 1/3 (+ (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (* 2 (log F))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (* 2 (log F))))) into (exp (* 1/3 (+ (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (* 2 (log F))))) * [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 (- 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)))) (cos (* -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 (- (/ 0 (/ -1 F)) (+ (* (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ -1 F))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))))) (+ (* (/ (pow 0 1) 1)))) 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 (+ (* (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 (+ (* 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log F)) (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))))) into (+ (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (* 2 (log F))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (* 2 (log F))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (* 2 (log F))))) (+ (* (/ (pow 0 1) 1)))) 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 (- 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)))) (cos (* -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 (- (/ 0 (/ -1 F)) (+ (* (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ -1 F))) (* 0 (/ 0 (/ -1 F))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 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 (+ (* 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -2) (log F)) (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))))) into (+ (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (* 2 (log F))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (+ (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (* 2 (log F)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) (* 2 (log F))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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 (- 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)))) (cos (* -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 (- (/ 0 (/ -1 F)) (+ (* (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) (/ 0 (/ -1 F))) (* 0 (/ 0 (/ -1 F))) (* 0 (/ 0 (/ -1 F))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (/ (* (pow F 2) (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) 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 (exp (* 1/3 (+ (log (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l))))))) (* 2 (log (/ 1 (- F))))))) into (exp (* 1/3 (+ (log (/ (sin (* PI l)) (cos (* PI l)))) (* 2 (log (/ -1 F)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [exit]simplify: Simplified to (sin (* PI l)) * [enter]simplify: Simplifying (cos (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [exit]simplify: Simplified to (cos (* PI l)) * * * * [misc]progress: [ 2 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (* PI l))) * [exit]simplify: Simplified to (log (tan (* PI l))) * * * * [misc]progress: [ 4 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (* PI l))) * [exit]simplify: Simplified to (exp (tan (* PI l))) * * * * [misc]progress: [ 5 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [enter]simplify: Simplifying (cbrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * * * * [misc]progress: [ 6 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (tan (* l PI)) (tan (* l PI))) (tan (* l PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * * * * [misc]progress: [ 7 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * * * * [misc]progress: [ 8 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [exit]simplify: Simplified to (sin (* PI l)) * [enter]simplify: Simplifying (cos (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [exit]simplify: Simplified to (cos (* PI l)) * * * * [misc]progress: [ 10 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (* PI l))) * [exit]simplify: Simplified to (log (tan (* PI l))) * * * * [misc]progress: [ 12 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (* PI l))) * [exit]simplify: Simplified to (exp (tan (* PI l))) * * * * [misc]progress: [ 13 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [enter]simplify: Simplifying (cbrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * * * * [misc]progress: [ 14 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (tan (* l PI)) (tan (* l PI))) (tan (* l PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * * * * [misc]progress: [ 15 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * * * * [misc]progress: [ 16 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sin (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sin (* PI l)) * [exit]simplify: Simplified to (sin (* PI l)) * [enter]simplify: Simplifying (cos (* l PI)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cos (* PI l)) * [exit]simplify: Simplified to (cos (* PI l)) * * * * [misc]progress: [ 18 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log (tan (* PI l))) * [exit]simplify: Simplified to (log (tan (* PI l))) * * * * [misc]progress: [ 20 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (tan (* PI l))) * [exit]simplify: Simplified to (exp (tan (* PI l))) * * * * [misc]progress: [ 21 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [exit]simplify: Simplified to (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) * [enter]simplify: Simplifying (cbrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * [exit]simplify: Simplified to (cbrt (tan (* PI l))) * * * * [misc]progress: [ 22 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (tan (* l PI)) (tan (* l PI))) (tan (* l PI))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * [exit]simplify: Simplified to (pow (tan (* PI l)) 3) * * * * [misc]progress: [ 23 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [enter]simplify: Simplifying (sqrt (tan (* l PI))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * [exit]simplify: Simplified to (sqrt (tan (* PI l))) * * * * [misc]progress: [ 24 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (/ (/ (tan (* l PI)) F) F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (log (cbrt (/ (tan (* PI l)) (* F F)))) * [exit]simplify: Simplified to (log (cbrt (/ (tan (* PI l)) (* F F)))) * * * * [misc]progress: [ 28 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ (/ (tan (* l PI)) F) F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (exp (cbrt (/ (tan (* PI l)) (* F F)))) * [exit]simplify: Simplified to (exp (cbrt (/ (tan (* PI l)) (* F F)))) * * * * [misc]progress: [ 29 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (/ (tan (* l PI)) F) F)) (cbrt (/ (/ (tan (* l PI)) F) F)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (/ (tan (* l PI)) F) F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (tan (* PI l)) (* F F)))) * [exit]simplify: Simplified to (cbrt (cbrt (/ (tan (* PI l)) (* F F)))) * * * * [misc]progress: [ 30 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (/ (tan (* l PI)) F) F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (tan (* PI l)) (* F F)))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (tan (* PI l)) (* F F)))) * [enter]simplify: Simplifying (cbrt (sqrt (/ (/ (tan (* l PI)) F) F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (tan (* PI l)) (* F F)))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (tan (* PI l)) (* F F)))) * * * * [misc]progress: [ 31 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (/ (/ (tan (* l PI)) F) F)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) (* F F))) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) (* F F))) * * * * [misc]progress: [ 32 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) F)) * [enter]simplify: Simplifying (cbrt (/ 1 F)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 F)) * [exit]simplify: Simplified to (cbrt (/ 1 F)) * * * * [misc]progress: [ 33 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (tan (* l PI)) F)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) F)) * [exit]simplify: Simplified to (cbrt (/ (tan (* PI l)) F)) * [enter]simplify: Simplifying (cbrt F) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt F) * [exit]simplify: Simplified to (cbrt F) * * * * [misc]progress: [ 34 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (/ (tan (* l PI)) F) F))) (cbrt (cbrt (/ (/ (tan (* l PI)) F) F)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (tan (* PI l)) (* F F)))) (cbrt (cbrt (/ (tan (* PI l)) (* F F))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (tan (* PI l)) (* F F)))) (cbrt (cbrt (/ (tan (* PI l)) (* F F))))) * [enter]simplify: Simplifying (cbrt (cbrt (/ (/ (tan (* l PI)) F) F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (tan (* PI l)) (* F F)))) * [exit]simplify: Simplified to (cbrt (cbrt (/ (tan (* PI l)) (* F F)))) * * * * [misc]progress: [ 35 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (/ (/ (tan (* l PI)) F) F)) (cbrt (/ (/ (tan (* l PI)) F) F))) (cbrt (/ (/ (tan (* l PI)) F) F))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (tan (* PI l)) (* F F)) * [exit]simplify: Simplified to (/ (tan (* PI l)) (* F F)) * * * * [misc]progress: [ 36 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (/ (tan (* l PI)) F) F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (tan (* PI l)) (* F F)))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (tan (* PI l)) (* F F)))) * [enter]simplify: Simplifying (sqrt (cbrt (/ (/ (tan (* l PI)) F) F))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (tan (* PI l)) (* F F)))) * [exit]simplify: Simplified to (sqrt (cbrt (/ (tan (* PI l)) (* F F)))) * * * * [misc]progress: [ 37 / 49 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (* (cbrt (/ (/ (tan (* l PI)) F) F)) (cbrt (/ (/ (tan (* l PI)) F) F))) (cbrt (/ (/ (+ (* 1/3 (* (pow PI 3) (pow l 3))) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (* PI l))) F) F)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * * [misc]simplify: iters left: 2 (388 enodes) * [exit]simplify: Simplified to (- (* PI l) (* (cbrt (/ (+ (* (* 1/3 (* PI l)) (* (* PI l) (* PI l))) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (* PI l))) (* F F))) (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))))) * * * * [misc]progress: [ 39 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (* (cbrt (/ (/ (tan (* l PI)) F) F)) (cbrt (/ (/ (tan (* l PI)) F) F))) (cbrt (/ (/ (/ (sin (* PI l)) (cos (* PI l))) F) F)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (- (* PI l) (* (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))) (cbrt (/ (/ (sin (* PI l)) (cos (* PI l))) (* F F))))) * * * * [misc]progress: [ 40 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (* (cbrt (/ (/ (tan (* l PI)) F) F)) (cbrt (/ (/ (tan (* l PI)) F) F))) (cbrt (/ (/ (/ (sin (* PI l)) (cos (* PI l))) F) F)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * [exit]simplify: Simplified to (- (* PI l) (* (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))) (cbrt (/ (/ (sin (* PI l)) (cos (* PI l))) (* F F))))) * * * * [misc]progress: [ 41 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (* (cbrt (/ (/ (tan (* l PI)) F) F)) (cbrt (/ (/ (+ (* 1/3 (* (pow PI 3) (pow l 3))) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (* PI l))) F) F))) (cbrt (/ (/ (tan (* l PI)) F) F)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (213 enodes) * * [misc]simplify: iters left: 2 (381 enodes) * [exit]simplify: Simplified to (- (* PI l) (* (cbrt (/ (+ (+ (* 2/15 (* (pow PI 5) (pow l 5))) (* PI l)) (* (* 1/3 (* PI l)) (* (* PI l) (* PI l)))) (* F F))) (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))))) * * * * [misc]progress: [ 42 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (* (cbrt (/ (/ (tan (* l PI)) F) F)) (cbrt (/ (/ (/ (sin (* PI l)) (cos (* PI l))) F) F))) (cbrt (/ (/ (tan (* l PI)) F) F)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (- (* PI l) (* (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))) (cbrt (/ (/ (sin (* PI l)) (cos (* PI l))) (* F F))))) * * * * [misc]progress: [ 43 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (* (cbrt (/ (/ (tan (* l PI)) F) F)) (cbrt (/ (/ (/ (sin (* PI l)) (cos (* PI l))) F) F))) (cbrt (/ (/ (tan (* l PI)) F) F)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (- (* PI l) (* (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))) (cbrt (/ (/ (sin (* PI l)) (cos (* PI l))) (* F F))))) * * * * [misc]progress: [ 44 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (* (cbrt (/ (/ (+ (* 1/3 (* (pow PI 3) (pow l 3))) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (* PI l))) F) F)) (cbrt (/ (/ (tan (* l PI)) F) F))) (cbrt (/ (/ (tan (* l PI)) F) F)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (- (* PI l) (* (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))) (cbrt (/ (+ (+ (* (* (* PI l) (* 1/3 PI)) (* l (* PI l))) (* PI l)) (* (* 2/15 (pow l 5)) (pow PI 5))) (* F F))))) * * * * [misc]progress: [ 45 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (* (cbrt (/ (/ (/ (sin (* PI l)) (cos (* PI l))) F) F)) (cbrt (/ (/ (tan (* l PI)) F) F))) (cbrt (/ (/ (tan (* l PI)) F) F)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (- (* PI l) (* (cbrt (/ (/ (sin (* PI l)) (cos (* PI l))) (* F F))) (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))))) * * * * [misc]progress: [ 46 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (* (cbrt (/ (/ (/ (sin (* PI l)) (cos (* PI l))) F) F)) (cbrt (/ (/ (tan (* l PI)) F) F))) (cbrt (/ (/ (tan (* l PI)) F) F)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * [exit]simplify: Simplified to (- (* PI l) (* (cbrt (/ (/ (sin (* PI l)) (cos (* PI l))) (* F F))) (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))))) * * * * [misc]progress: [ 47 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (* (cbrt (/ (/ (tan (* l PI)) F) F)) (cbrt (/ (/ (tan (* l PI)) F) F))) (+ (* 1/9 (* (pow PI 2) (* (pow l 2) (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F)))))))) (exp (* 1/3 (- (+ (log PI) (log l)) (* 2 (log F)))))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * [exit]simplify: Simplified to (- (* PI l) (* (* (+ (* (* 1/9 (* l l)) (* PI PI)) 1) (pow (exp 1/3) (- (+ (log PI) (log l)) (* (log F) 2)))) (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))))) * * * * [misc]progress: [ 48 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (* (cbrt (/ (/ (tan (* l PI)) F) F)) (cbrt (/ (/ (tan (* l PI)) F) F))) (exp (* 1/3 (+ (log (/ (sin (* PI l)) (cos (* PI l)))) (* 2 (log (/ 1 F)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * [exit]simplify: Simplified to (- (* PI l) (* (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))) (cbrt (* (* (/ 1 F) (/ 1 F)) (/ (sin (* PI l)) (cos (* PI l))))))) * * * * [misc]progress: [ 49 / 49 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* l PI) (* (* (cbrt (/ (/ (tan (* l PI)) F) F)) (cbrt (/ (/ (tan (* l PI)) F) F))) (exp (* 1/3 (+ (log (/ (sin (* PI l)) (cos (* PI l)))) (* 2 (log (/ -1 F)))))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (416 enodes) * [exit]simplify: Simplified to (- (* PI l) (* (* (cbrt (/ (tan (* PI l)) (* F F))) (cbrt (/ (tan (* PI l)) (* F F)))) (cbrt (* (* (/ -1 F) (/ -1 F)) (/ (sin (* PI l)) (cos (* 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 (* F F) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (/ (tan (* l PI)) F) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ (tan (* PI l)) F) * [exit]simplify: Simplified to (/ (tan (* PI l)) F)