0.763 * [progress]: [Phase 1 of 3] Setting up. 0.004 * * * [progress]: [1/2] Preparing points 0.591 * * * [progress]: [2/2] Setting up program. 0.601 * [progress]: [Phase 2 of 3] Improving. 0.666 * [simplify]: Simplifying: (- (* PI l) (* (/ 1.0 (* F F)) (tan (* PI l)))) 0.667 * * [simplify]: iteration 0: 10 enodes 0.672 * * [simplify]: iteration 1: 19 enodes 0.675 * * [simplify]: iteration 2: 41 enodes 0.684 * * [simplify]: iteration 3: 82 enodes 0.696 * * [simplify]: iteration 4: 126 enodes 0.714 * * [simplify]: iteration 5: 152 enodes 0.745 * * [simplify]: iteration 6: 162 enodes 0.767 * * [simplify]: iteration 7: 164 enodes 0.790 * * [simplify]: iteration complete: 164 enodes 0.791 * * [simplify]: Extracting #0: cost 1 inf + 0 0.791 * * [simplify]: Extracting #1: cost 18 inf + 0 0.792 * * [simplify]: Extracting #2: cost 29 inf + 3 0.792 * * [simplify]: Extracting #3: cost 16 inf + 73 0.792 * * [simplify]: Extracting #4: cost 1 inf + 173 0.792 * * [simplify]: Extracting #5: cost 0 inf + 182 0.792 * [simplify]: Simplified to: (fma (/ (tan (* PI l)) F) (/ (- 1.0) F) (* PI l)) 0.801 * * [progress]: iteration 1 / 4 0.801 * * * [progress]: picking best candidate 0.809 * * * * [pick]: Picked # 0.809 * * * [progress]: localizing error 0.834 * * * [progress]: generating rewritten candidates 0.834 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 0.842 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.852 * * * * [progress]: [ 3 / 4 ] rewriting at (2 3) 0.857 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.866 * * * [progress]: generating series expansions 0.866 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 0.870 * [backup-simplify]: Simplify (tan (* PI l)) into (tan (* PI l)) 0.870 * [approximate]: Taking taylor expansion of (tan (* PI l)) in (l) around 0 0.870 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 0.872 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.872 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.872 * [taylor]: Taking taylor expansion of (* PI l) in l 0.872 * [taylor]: Taking taylor expansion of PI in l 0.872 * [backup-simplify]: Simplify PI into PI 0.872 * [taylor]: Taking taylor expansion of l in l 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 1 into 1 0.873 * [backup-simplify]: Simplify (* PI 0) into 0 0.874 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 0.874 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.874 * [taylor]: Taking taylor expansion of (* PI l) in l 0.874 * [taylor]: Taking taylor expansion of PI in l 0.874 * [backup-simplify]: Simplify PI into PI 0.874 * [taylor]: Taking taylor expansion of l in l 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [backup-simplify]: Simplify (* PI 0) into 0 0.875 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 0.878 * [backup-simplify]: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI 0.878 * [backup-simplify]: Simplify (/ PI 1) into PI 0.878 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 0.878 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.878 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.878 * [taylor]: Taking taylor expansion of (* PI l) in l 0.878 * [taylor]: Taking taylor expansion of PI in l 0.878 * [backup-simplify]: Simplify PI into PI 0.878 * [taylor]: Taking taylor expansion of l in l 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.879 * [backup-simplify]: Simplify (* PI 0) into 0 0.880 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 0.880 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.880 * [taylor]: Taking taylor expansion of (* PI l) in l 0.880 * [taylor]: Taking taylor expansion of PI in l 0.880 * [backup-simplify]: Simplify PI into PI 0.880 * [taylor]: Taking taylor expansion of l in l 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify (* PI 0) into 0 0.881 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 0.883 * [backup-simplify]: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI 0.883 * [backup-simplify]: Simplify (/ PI 1) into PI 0.883 * [backup-simplify]: Simplify PI into PI 0.892 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 0.893 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.893 * [backup-simplify]: Simplify (+ 0) into 0 0.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.894 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.899 * [backup-simplify]: Simplify (+ (* -1 (/ (pow PI 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/6 (pow PI 3))) 0.900 * [backup-simplify]: Simplify (+ (* -1 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) 0.910 * [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)) 0.911 * [backup-simplify]: Simplify (* 1/3 (pow PI 3)) into (* 1/3 (pow PI 3)) 0.911 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.912 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 0.913 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 0.914 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 0.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (pow PI 2))) 1)) (* (* 1/3 (pow PI 3)) (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.922 * [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)) 0.923 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.927 * [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)) 0.940 * [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)) 0.941 * [backup-simplify]: Simplify (* 2/15 (pow PI 5)) into (* 2/15 (pow PI 5)) 0.943 * [backup-simplify]: Simplify (+ (* (* 2/15 (pow PI 5)) (pow l 5)) (+ (* (* 1/3 (pow PI 3)) (pow l 3)) (* PI l))) into (+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l))) 0.943 * [backup-simplify]: Simplify (tan (* PI (/ 1 l))) into (tan (/ PI l)) 0.943 * [approximate]: Taking taylor expansion of (tan (/ PI l)) in (l) around 0 0.943 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 0.943 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.943 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 0.943 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.943 * [taylor]: Taking taylor expansion of PI in l 0.943 * [backup-simplify]: Simplify PI into PI 0.943 * [taylor]: Taking taylor expansion of l in l 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (/ PI 1) into PI 0.944 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 0.944 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 0.944 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.944 * [taylor]: Taking taylor expansion of PI in l 0.944 * [backup-simplify]: Simplify PI into PI 0.944 * [taylor]: Taking taylor expansion of l in l 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 1 into 1 0.944 * [backup-simplify]: Simplify (/ PI 1) into PI 0.944 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 0.944 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 0.944 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 0.944 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 0.944 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 0.944 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.944 * [taylor]: Taking taylor expansion of PI in l 0.944 * [backup-simplify]: Simplify PI into PI 0.944 * [taylor]: Taking taylor expansion of l in l 0.944 * [backup-simplify]: Simplify 0 into 0 0.944 * [backup-simplify]: Simplify 1 into 1 0.945 * [backup-simplify]: Simplify (/ PI 1) into PI 0.945 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 0.945 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 0.945 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.945 * [taylor]: Taking taylor expansion of PI in l 0.945 * [backup-simplify]: Simplify PI into PI 0.945 * [taylor]: Taking taylor expansion of l in l 0.945 * [backup-simplify]: Simplify 0 into 0 0.945 * [backup-simplify]: Simplify 1 into 1 0.945 * [backup-simplify]: Simplify (/ PI 1) into PI 0.945 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 0.945 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 0.946 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 0.946 * [backup-simplify]: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))))) into 0 0.946 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) into 0 0.946 * [backup-simplify]: Simplify 0 into 0 0.947 * [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 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [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 0.947 * [backup-simplify]: Simplify 0 into 0 0.947 * [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 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [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 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) 0.948 * [backup-simplify]: Simplify (tan (* PI (/ 1 (- l)))) into (tan (* -1 (/ PI l))) 0.948 * [approximate]: Taking taylor expansion of (tan (* -1 (/ PI l))) in (l) around 0 0.948 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 0.948 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.948 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.949 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.949 * [taylor]: Taking taylor expansion of -1 in l 0.949 * [backup-simplify]: Simplify -1 into -1 0.949 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.949 * [taylor]: Taking taylor expansion of PI in l 0.949 * [backup-simplify]: Simplify PI into PI 0.949 * [taylor]: Taking taylor expansion of l in l 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.949 * [backup-simplify]: Simplify (/ PI 1) into PI 0.950 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 0.950 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 0.950 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.950 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.950 * [taylor]: Taking taylor expansion of -1 in l 0.950 * [backup-simplify]: Simplify -1 into -1 0.950 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.950 * [taylor]: Taking taylor expansion of PI in l 0.950 * [backup-simplify]: Simplify PI into PI 0.950 * [taylor]: Taking taylor expansion of l in l 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify (/ PI 1) into PI 0.951 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 0.951 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 0.951 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.951 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 0.951 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.951 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 0.951 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.951 * [taylor]: Taking taylor expansion of -1 in l 0.951 * [backup-simplify]: Simplify -1 into -1 0.951 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.951 * [taylor]: Taking taylor expansion of PI in l 0.951 * [backup-simplify]: Simplify PI into PI 0.951 * [taylor]: Taking taylor expansion of l in l 0.951 * [backup-simplify]: Simplify 0 into 0 0.951 * [backup-simplify]: Simplify 1 into 1 0.951 * [backup-simplify]: Simplify (/ PI 1) into PI 0.952 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 0.952 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 0.952 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 0.952 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 0.952 * [taylor]: Taking taylor expansion of -1 in l 0.952 * [backup-simplify]: Simplify -1 into -1 0.952 * [taylor]: Taking taylor expansion of (/ PI l) in l 0.952 * [taylor]: Taking taylor expansion of PI in l 0.952 * [backup-simplify]: Simplify PI into PI 0.952 * [taylor]: Taking taylor expansion of l in l 0.952 * [backup-simplify]: Simplify 0 into 0 0.952 * [backup-simplify]: Simplify 1 into 1 0.952 * [backup-simplify]: Simplify (/ PI 1) into PI 0.953 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 0.953 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 0.953 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.953 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0.954 * [backup-simplify]: Simplify (- (/ 0 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))))) into 0 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [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 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [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 0.954 * [backup-simplify]: Simplify 0 into 0 0.955 * [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 0.955 * [backup-simplify]: Simplify 0 into 0 0.955 * [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 0.955 * [backup-simplify]: Simplify 0 into 0 0.956 * [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 0.956 * [backup-simplify]: Simplify 0 into 0 0.956 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) 0.956 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.956 * [backup-simplify]: Simplify (/ (tan (* PI l)) F) into (/ (tan (* PI l)) F) 0.956 * [approximate]: Taking taylor expansion of (/ (tan (* PI l)) F) in (l F) around 0 0.956 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in F 0.956 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 0.957 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.957 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 0.957 * [taylor]: Taking taylor expansion of (* PI l) in F 0.957 * [taylor]: Taking taylor expansion of PI in F 0.957 * [backup-simplify]: Simplify PI into PI 0.957 * [taylor]: Taking taylor expansion of l in F 0.957 * [backup-simplify]: Simplify l into l 0.957 * [backup-simplify]: Simplify (* PI l) into (* PI l) 0.957 * [backup-simplify]: Simplify (sin (* PI l)) into (sin (* PI l)) 0.957 * [backup-simplify]: Simplify (cos (* PI l)) into (cos (* PI l)) 0.957 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 0.957 * [taylor]: Taking taylor expansion of (* PI l) in F 0.957 * [taylor]: Taking taylor expansion of PI in F 0.957 * [backup-simplify]: Simplify PI into PI 0.957 * [taylor]: Taking taylor expansion of l in F 0.957 * [backup-simplify]: Simplify l into l 0.957 * [backup-simplify]: Simplify (* PI l) into (* PI l) 0.957 * [backup-simplify]: Simplify (cos (* PI l)) into (cos (* PI l)) 0.957 * [backup-simplify]: Simplify (sin (* PI l)) into (sin (* PI l)) 0.958 * [backup-simplify]: Simplify (* (sin (* PI l)) 1) into (sin (* PI l)) 0.958 * [backup-simplify]: Simplify (* (cos (* PI l)) 0) into 0 0.958 * [backup-simplify]: Simplify (+ (sin (* PI l)) 0) into (sin (* PI l)) 0.958 * [backup-simplify]: Simplify (* (cos (* PI l)) 1) into (cos (* PI l)) 0.958 * [backup-simplify]: Simplify (* (sin (* PI l)) 0) into 0 0.959 * [backup-simplify]: Simplify (- 0) into 0 0.959 * [backup-simplify]: Simplify (+ (cos (* PI l)) 0) into (cos (* PI l)) 0.959 * [backup-simplify]: Simplify (/ (sin (* PI l)) (cos (* PI l))) into (/ (sin (* PI l)) (cos (* PI l))) 0.959 * [taylor]: Taking taylor expansion of F in F 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (/ (/ (sin (* PI l)) (cos (* PI l))) 1) into (/ (sin (* PI l)) (cos (* PI l))) 0.959 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in l 0.959 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 0.959 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.959 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.959 * [taylor]: Taking taylor expansion of (* PI l) in l 0.959 * [taylor]: Taking taylor expansion of PI in l 0.959 * [backup-simplify]: Simplify PI into PI 0.959 * [taylor]: Taking taylor expansion of l in l 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.960 * [backup-simplify]: Simplify (* PI 0) into 0 0.961 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 0.961 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.961 * [taylor]: Taking taylor expansion of (* PI l) in l 0.961 * [taylor]: Taking taylor expansion of PI in l 0.961 * [backup-simplify]: Simplify PI into PI 0.961 * [taylor]: Taking taylor expansion of l in l 0.961 * [backup-simplify]: Simplify 0 into 0 0.961 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify (* PI 0) into 0 0.962 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 0.964 * [backup-simplify]: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI 0.964 * [backup-simplify]: Simplify (/ PI 1) into PI 0.964 * [taylor]: Taking taylor expansion of F in l 0.964 * [backup-simplify]: Simplify F into F 0.964 * [backup-simplify]: Simplify (/ PI F) into (/ PI F) 0.964 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in l 0.964 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 0.965 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 0.965 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 0.965 * [taylor]: Taking taylor expansion of (* PI l) in l 0.965 * [taylor]: Taking taylor expansion of PI in l 0.965 * [backup-simplify]: Simplify PI into PI 0.965 * [taylor]: Taking taylor expansion of l in l 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [backup-simplify]: Simplify (* PI 0) into 0 0.966 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 0.966 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 0.966 * [taylor]: Taking taylor expansion of (* PI l) in l 0.966 * [taylor]: Taking taylor expansion of PI in l 0.966 * [backup-simplify]: Simplify PI into PI 0.966 * [taylor]: Taking taylor expansion of l in l 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 1 into 1 0.967 * [backup-simplify]: Simplify (* PI 0) into 0 0.968 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 0.969 * [backup-simplify]: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI 0.970 * [backup-simplify]: Simplify (/ PI 1) into PI 0.970 * [taylor]: Taking taylor expansion of F in l 0.970 * [backup-simplify]: Simplify F into F 0.970 * [backup-simplify]: Simplify (/ PI F) into (/ PI F) 0.970 * [taylor]: Taking taylor expansion of (/ PI F) in F 0.970 * [taylor]: Taking taylor expansion of PI in F 0.970 * [backup-simplify]: Simplify PI into PI 0.970 * [taylor]: Taking taylor expansion of F in F 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [backup-simplify]: Simplify (/ PI 1) into PI 0.970 * [backup-simplify]: Simplify PI into PI 0.971 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 0.972 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 0.972 * [backup-simplify]: Simplify (+ 0) into 0 0.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.972 * [backup-simplify]: Simplify (- (/ 0 F) (+ (* (/ PI F) (/ 0 F)))) into 0 0.973 * [taylor]: Taking taylor expansion of 0 in F 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.977 * [backup-simplify]: Simplify (+ (* -1 (/ (pow PI 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/6 (pow PI 3))) 0.980 * [backup-simplify]: Simplify (+ (* -1 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) 0.995 * [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)) 0.996 * [backup-simplify]: Simplify (- (/ (* 1/3 (pow PI 3)) F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)))) into (* 1/3 (/ (pow PI 3) F)) 0.996 * [taylor]: Taking taylor expansion of (* 1/3 (/ (pow PI 3) F)) in F 0.996 * [taylor]: Taking taylor expansion of 1/3 in F 0.996 * [backup-simplify]: Simplify 1/3 into 1/3 0.996 * [taylor]: Taking taylor expansion of (/ (pow PI 3) F) in F 0.996 * [taylor]: Taking taylor expansion of (pow PI 3) in F 0.996 * [taylor]: Taking taylor expansion of PI in F 0.996 * [backup-simplify]: Simplify PI into PI 0.996 * [taylor]: Taking taylor expansion of F in F 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 1 into 1 0.997 * [backup-simplify]: Simplify (* PI PI) into (pow PI 2) 0.998 * [backup-simplify]: Simplify (* PI (pow PI 2)) into (pow PI 3) 0.999 * [backup-simplify]: Simplify (/ (pow PI 3) 1) into (pow PI 3) 1.001 * [backup-simplify]: Simplify (* 1/3 (pow PI 3)) into (* 1/3 (pow PI 3)) 1.002 * [backup-simplify]: Simplify (* 1/3 (pow PI 3)) into (* 1/3 (pow PI 3)) 1.002 * [backup-simplify]: Simplify 0 into 0 1.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.003 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.006 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.007 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1.008 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (pow PI 2))) 1)) (* (* 1/3 (pow PI 3)) (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (- (/ 0 F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)) (* (* 1/3 (/ (pow PI 3) F)) (/ 0 F)))) into 0 1.013 * [taylor]: Taking taylor expansion of 0 in F 1.013 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 PI)) into 0 1.015 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 1.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow PI 3) (/ 0 1)))) into 0 1.018 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow PI 3))) into 0 1.018 * [backup-simplify]: Simplify 0 into 0 1.018 * [backup-simplify]: Simplify 0 into 0 1.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.019 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.031 * [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)) 1.033 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.040 * [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)) 1.063 * [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)) 1.065 * [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)) 1.065 * [taylor]: Taking taylor expansion of (* 2/15 (/ (pow PI 5) F)) in F 1.065 * [taylor]: Taking taylor expansion of 2/15 in F 1.065 * [backup-simplify]: Simplify 2/15 into 2/15 1.065 * [taylor]: Taking taylor expansion of (/ (pow PI 5) F) in F 1.065 * [taylor]: Taking taylor expansion of (pow PI 5) in F 1.065 * [taylor]: Taking taylor expansion of PI in F 1.065 * [backup-simplify]: Simplify PI into PI 1.066 * [taylor]: Taking taylor expansion of F in F 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify 1 into 1 1.066 * [backup-simplify]: Simplify (* PI PI) into (pow PI 2) 1.068 * [backup-simplify]: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1.069 * [backup-simplify]: Simplify (* PI (pow PI 4)) into (pow PI 5) 1.070 * [backup-simplify]: Simplify (/ (pow PI 5) 1) into (pow PI 5) 1.071 * [backup-simplify]: Simplify (* 2/15 (pow PI 5)) into (* 2/15 (pow PI 5)) 1.073 * [backup-simplify]: Simplify (* 2/15 (pow PI 5)) into (* 2/15 (pow PI 5)) 1.075 * [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 (+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F)))) 1.075 * [backup-simplify]: Simplify (/ (tan (* PI (/ 1 l))) (/ 1 F)) into (* (tan (/ PI l)) F) 1.075 * [approximate]: Taking taylor expansion of (* (tan (/ PI l)) F) in (l F) around 0 1.075 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in F 1.075 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 1.075 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.075 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 1.075 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.075 * [taylor]: Taking taylor expansion of PI in F 1.075 * [backup-simplify]: Simplify PI into PI 1.075 * [taylor]: Taking taylor expansion of l in F 1.075 * [backup-simplify]: Simplify l into l 1.075 * [backup-simplify]: Simplify (/ PI l) into (/ PI l) 1.075 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 1.075 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 1.075 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 1.075 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.075 * [taylor]: Taking taylor expansion of PI in F 1.075 * [backup-simplify]: Simplify PI into PI 1.075 * [taylor]: Taking taylor expansion of l in F 1.075 * [backup-simplify]: Simplify l into l 1.075 * [backup-simplify]: Simplify (/ PI l) into (/ PI l) 1.076 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 1.076 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 1.076 * [backup-simplify]: Simplify (* (sin (/ PI l)) 1) into (sin (/ PI l)) 1.076 * [backup-simplify]: Simplify (* (cos (/ PI l)) 0) into 0 1.076 * [backup-simplify]: Simplify (+ (sin (/ PI l)) 0) into (sin (/ PI l)) 1.076 * [backup-simplify]: Simplify (* (cos (/ PI l)) 1) into (cos (/ PI l)) 1.076 * [backup-simplify]: Simplify (* (sin (/ PI l)) 0) into 0 1.076 * [backup-simplify]: Simplify (- 0) into 0 1.076 * [backup-simplify]: Simplify (+ (cos (/ PI l)) 0) into (cos (/ PI l)) 1.076 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 1.076 * [taylor]: Taking taylor expansion of F in F 1.076 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in l 1.076 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.076 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.076 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.076 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.076 * [taylor]: Taking taylor expansion of PI in l 1.077 * [backup-simplify]: Simplify PI into PI 1.077 * [taylor]: Taking taylor expansion of l in l 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify (/ PI 1) into PI 1.077 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 1.077 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.077 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.077 * [taylor]: Taking taylor expansion of PI in l 1.077 * [backup-simplify]: Simplify PI into PI 1.077 * [taylor]: Taking taylor expansion of l in l 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify 1 into 1 1.077 * [backup-simplify]: Simplify (/ PI 1) into PI 1.077 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 1.078 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 1.078 * [taylor]: Taking taylor expansion of F in l 1.078 * [backup-simplify]: Simplify F into F 1.078 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in l 1.078 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 1.078 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 1.078 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 1.078 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.078 * [taylor]: Taking taylor expansion of PI in l 1.078 * [backup-simplify]: Simplify PI into PI 1.078 * [taylor]: Taking taylor expansion of l in l 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 1 into 1 1.078 * [backup-simplify]: Simplify (/ PI 1) into PI 1.078 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 1.078 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 1.078 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.078 * [taylor]: Taking taylor expansion of PI in l 1.078 * [backup-simplify]: Simplify PI into PI 1.078 * [taylor]: Taking taylor expansion of l in l 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 1 into 1 1.079 * [backup-simplify]: Simplify (/ PI 1) into PI 1.079 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 1.079 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 1.079 * [taylor]: Taking taylor expansion of F in l 1.079 * [backup-simplify]: Simplify F into F 1.079 * [backup-simplify]: Simplify (* (/ (sin (/ PI l)) (cos (/ PI l))) F) into (/ (* F (sin (/ PI l))) (cos (/ PI l))) 1.079 * [taylor]: Taking taylor expansion of (/ (* F (sin (/ PI l))) (cos (/ PI l))) in F 1.079 * [taylor]: Taking taylor expansion of (* F (sin (/ PI l))) in F 1.079 * [taylor]: Taking taylor expansion of F in F 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 1 into 1 1.079 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 1.079 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.079 * [taylor]: Taking taylor expansion of PI in F 1.079 * [backup-simplify]: Simplify PI into PI 1.079 * [taylor]: Taking taylor expansion of l in F 1.079 * [backup-simplify]: Simplify l into l 1.079 * [backup-simplify]: Simplify (/ PI l) into (/ PI l) 1.079 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 1.079 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 1.079 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 1.079 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.079 * [taylor]: Taking taylor expansion of PI in F 1.079 * [backup-simplify]: Simplify PI into PI 1.079 * [taylor]: Taking taylor expansion of l in F 1.079 * [backup-simplify]: Simplify l into l 1.079 * [backup-simplify]: Simplify (/ PI l) into (/ PI l) 1.079 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 1.079 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 1.079 * [backup-simplify]: Simplify (* (sin (/ PI l)) 1) into (sin (/ PI l)) 1.080 * [backup-simplify]: Simplify (* (cos (/ PI l)) 0) into 0 1.080 * [backup-simplify]: Simplify (+ (sin (/ PI l)) 0) into (sin (/ PI l)) 1.080 * [backup-simplify]: Simplify (* 0 (sin (/ PI l))) into 0 1.080 * [backup-simplify]: Simplify (+ 0) into 0 1.080 * [backup-simplify]: Simplify (+ (* (sin (/ PI l)) 0) (* 0 1)) into 0 1.080 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)))) into 0 1.081 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.081 * [backup-simplify]: Simplify (+ (* (cos (/ PI l)) 0) (* 0 0)) into 0 1.081 * [backup-simplify]: Simplify (+ 0 0) into 0 1.082 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ PI l)))) into (sin (/ PI l)) 1.082 * [backup-simplify]: Simplify (* (cos (/ PI l)) 1) into (cos (/ PI l)) 1.082 * [backup-simplify]: Simplify (* (sin (/ PI l)) 0) into 0 1.082 * [backup-simplify]: Simplify (- 0) into 0 1.082 * [backup-simplify]: Simplify (+ (cos (/ PI l)) 0) into (cos (/ PI l)) 1.082 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 1.082 * [backup-simplify]: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))))) into 0 1.083 * [backup-simplify]: Simplify (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) 0) (* 0 F)) into 0 1.083 * [taylor]: Taking taylor expansion of 0 in F 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 1.083 * [backup-simplify]: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) into 0 1.083 * [backup-simplify]: Simplify (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) 0) (+ (* 0 0) (* 0 F))) into 0 1.083 * [taylor]: Taking taylor expansion of 0 in F 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.084 * [backup-simplify]: Simplify (+ (* (sin (/ PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 1.085 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 1.085 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.085 * [backup-simplify]: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (* 0 0))) into 0 1.086 * [backup-simplify]: Simplify (+ 0 0) into 0 1.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ PI l))))) into 0 1.086 * [backup-simplify]: Simplify (+ 0) into 0 1.087 * [backup-simplify]: Simplify (+ (* (cos (/ PI l)) 0) (* 0 1)) into 0 1.087 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)))) into 0 1.088 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.088 * [backup-simplify]: Simplify (+ (* (sin (/ PI l)) 0) (* 0 0)) into 0 1.088 * [backup-simplify]: Simplify (- 0) into 0 1.089 * [backup-simplify]: Simplify (+ 0 0) into 0 1.089 * [backup-simplify]: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))))) into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [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 1.090 * [backup-simplify]: Simplify (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 F)))) into 0 1.090 * [taylor]: Taking taylor expansion of 0 in F 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify (* (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) (* (/ 1 F) 1)) into (/ (sin (* PI l)) (* F (cos (* PI l)))) 1.090 * [backup-simplify]: Simplify (/ (tan (* PI (/ 1 (- l)))) (/ 1 (- F))) into (* -1 (* (tan (* -1 (/ PI l))) F)) 1.090 * [approximate]: Taking taylor expansion of (* -1 (* (tan (* -1 (/ PI l))) F)) in (l F) around 0 1.090 * [taylor]: Taking taylor expansion of (* -1 (* (tan (* -1 (/ PI l))) F)) in F 1.090 * [taylor]: Taking taylor expansion of -1 in F 1.090 * [backup-simplify]: Simplify -1 into -1 1.090 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in F 1.090 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 1.090 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.090 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 1.090 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.090 * [taylor]: Taking taylor expansion of -1 in F 1.090 * [backup-simplify]: Simplify -1 into -1 1.090 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.090 * [taylor]: Taking taylor expansion of PI in F 1.090 * [backup-simplify]: Simplify PI into PI 1.090 * [taylor]: Taking taylor expansion of l in F 1.091 * [backup-simplify]: Simplify l into l 1.091 * [backup-simplify]: Simplify (/ PI l) into (/ PI l) 1.091 * [backup-simplify]: Simplify (* -1 (/ PI l)) into (* -1 (/ PI l)) 1.091 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 1.091 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 1.091 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 1.091 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.091 * [taylor]: Taking taylor expansion of -1 in F 1.091 * [backup-simplify]: Simplify -1 into -1 1.091 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.091 * [taylor]: Taking taylor expansion of PI in F 1.091 * [backup-simplify]: Simplify PI into PI 1.091 * [taylor]: Taking taylor expansion of l in F 1.091 * [backup-simplify]: Simplify l into l 1.091 * [backup-simplify]: Simplify (/ PI l) into (/ PI l) 1.091 * [backup-simplify]: Simplify (* -1 (/ PI l)) into (* -1 (/ PI l)) 1.091 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 1.091 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 1.091 * [backup-simplify]: Simplify (* (sin (* -1 (/ PI l))) 1) into (sin (* -1 (/ PI l))) 1.091 * [backup-simplify]: Simplify (* (cos (* -1 (/ PI l))) 0) into 0 1.091 * [backup-simplify]: Simplify (+ (sin (* -1 (/ PI l))) 0) into (sin (* -1 (/ PI l))) 1.091 * [backup-simplify]: Simplify (* (cos (* -1 (/ PI l))) 1) into (cos (* -1 (/ PI l))) 1.091 * [backup-simplify]: Simplify (* (sin (* -1 (/ PI l))) 0) into 0 1.092 * [backup-simplify]: Simplify (- 0) into 0 1.092 * [backup-simplify]: Simplify (+ (cos (* -1 (/ PI l))) 0) into (cos (* -1 (/ PI l))) 1.092 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.092 * [taylor]: Taking taylor expansion of F in F 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.092 * [taylor]: Taking taylor expansion of (* -1 (* (tan (* -1 (/ PI l))) F)) in l 1.092 * [taylor]: Taking taylor expansion of -1 in l 1.092 * [backup-simplify]: Simplify -1 into -1 1.092 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in l 1.092 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.092 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.092 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.092 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.092 * [taylor]: Taking taylor expansion of -1 in l 1.092 * [backup-simplify]: Simplify -1 into -1 1.092 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.092 * [taylor]: Taking taylor expansion of PI in l 1.092 * [backup-simplify]: Simplify PI into PI 1.092 * [taylor]: Taking taylor expansion of l in l 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (/ PI 1) into PI 1.093 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 1.093 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 1.093 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.093 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.093 * [taylor]: Taking taylor expansion of -1 in l 1.093 * [backup-simplify]: Simplify -1 into -1 1.093 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.093 * [taylor]: Taking taylor expansion of PI in l 1.093 * [backup-simplify]: Simplify PI into PI 1.093 * [taylor]: Taking taylor expansion of l in l 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (/ PI 1) into PI 1.094 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 1.094 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 1.094 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.094 * [taylor]: Taking taylor expansion of F in l 1.094 * [backup-simplify]: Simplify F into F 1.094 * [taylor]: Taking taylor expansion of (* -1 (* (tan (* -1 (/ PI l))) F)) in l 1.094 * [taylor]: Taking taylor expansion of -1 in l 1.094 * [backup-simplify]: Simplify -1 into -1 1.094 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in l 1.094 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 1.094 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.094 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 1.094 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.094 * [taylor]: Taking taylor expansion of -1 in l 1.094 * [backup-simplify]: Simplify -1 into -1 1.094 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.094 * [taylor]: Taking taylor expansion of PI in l 1.094 * [backup-simplify]: Simplify PI into PI 1.094 * [taylor]: Taking taylor expansion of l in l 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.095 * [backup-simplify]: Simplify (/ PI 1) into PI 1.095 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 1.095 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 1.095 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 1.095 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.095 * [taylor]: Taking taylor expansion of -1 in l 1.095 * [backup-simplify]: Simplify -1 into -1 1.095 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.095 * [taylor]: Taking taylor expansion of PI in l 1.095 * [backup-simplify]: Simplify PI into PI 1.095 * [taylor]: Taking taylor expansion of l in l 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 1 into 1 1.095 * [backup-simplify]: Simplify (/ PI 1) into PI 1.096 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 1.096 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 1.096 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.096 * [taylor]: Taking taylor expansion of F in l 1.096 * [backup-simplify]: Simplify F into F 1.096 * [backup-simplify]: Simplify (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) F) into (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) 1.096 * [backup-simplify]: Simplify (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) into (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) 1.096 * [taylor]: Taking taylor expansion of (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) in F 1.096 * [taylor]: Taking taylor expansion of -1 in F 1.096 * [backup-simplify]: Simplify -1 into -1 1.096 * [taylor]: Taking taylor expansion of (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) in F 1.096 * [taylor]: Taking taylor expansion of (* F (sin (* -1 (/ PI l)))) in F 1.096 * [taylor]: Taking taylor expansion of F in F 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify 1 into 1 1.096 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 1.096 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.097 * [taylor]: Taking taylor expansion of -1 in F 1.097 * [backup-simplify]: Simplify -1 into -1 1.097 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.097 * [taylor]: Taking taylor expansion of PI in F 1.097 * [backup-simplify]: Simplify PI into PI 1.097 * [taylor]: Taking taylor expansion of l in F 1.097 * [backup-simplify]: Simplify l into l 1.097 * [backup-simplify]: Simplify (/ PI l) into (/ PI l) 1.097 * [backup-simplify]: Simplify (* -1 (/ PI l)) into (* -1 (/ PI l)) 1.097 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 1.097 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 1.097 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 1.097 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 1.097 * [taylor]: Taking taylor expansion of -1 in F 1.097 * [backup-simplify]: Simplify -1 into -1 1.097 * [taylor]: Taking taylor expansion of (/ PI l) in F 1.097 * [taylor]: Taking taylor expansion of PI in F 1.097 * [backup-simplify]: Simplify PI into PI 1.097 * [taylor]: Taking taylor expansion of l in F 1.097 * [backup-simplify]: Simplify l into l 1.097 * [backup-simplify]: Simplify (/ PI l) into (/ PI l) 1.097 * [backup-simplify]: Simplify (* -1 (/ PI l)) into (* -1 (/ PI l)) 1.097 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 1.097 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 1.097 * [backup-simplify]: Simplify (* (sin (* -1 (/ PI l))) 1) into (sin (* -1 (/ PI l))) 1.097 * [backup-simplify]: Simplify (* (cos (* -1 (/ PI l))) 0) into 0 1.097 * [backup-simplify]: Simplify (+ (sin (* -1 (/ PI l))) 0) into (sin (* -1 (/ PI l))) 1.097 * [backup-simplify]: Simplify (* 0 (sin (* -1 (/ PI l)))) into 0 1.098 * [backup-simplify]: Simplify (+ 0) into 0 1.098 * [backup-simplify]: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (* 0 1)) into 0 1.098 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)))) into 0 1.098 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ PI l))) into 0 1.099 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.099 * [backup-simplify]: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (* 0 0)) into 0 1.099 * [backup-simplify]: Simplify (+ 0 0) into 0 1.100 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (* -1 (/ PI l))))) into (sin (* -1 (/ PI l))) 1.100 * [backup-simplify]: Simplify (* (cos (* -1 (/ PI l))) 1) into (cos (* -1 (/ PI l))) 1.100 * [backup-simplify]: Simplify (* (sin (* -1 (/ PI l))) 0) into 0 1.100 * [backup-simplify]: Simplify (- 0) into 0 1.100 * [backup-simplify]: Simplify (+ (cos (* -1 (/ PI l))) 0) into (cos (* -1 (/ PI l))) 1.100 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 1.101 * [backup-simplify]: Simplify (- (/ 0 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))))) into 0 1.101 * [backup-simplify]: Simplify (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0) (* 0 F)) into 0 1.101 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))))) into 0 1.101 * [taylor]: Taking taylor expansion of 0 in F 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) into (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) 1.102 * [backup-simplify]: Simplify (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) into (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) 1.102 * [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 1.102 * [backup-simplify]: Simplify (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0) (+ (* 0 0) (* 0 F))) into 0 1.103 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))))) into 0 1.103 * [taylor]: Taking taylor expansion of 0 in F 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.104 * [backup-simplify]: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 1))) into 0 1.104 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 1.105 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ PI l)))) into 0 1.105 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.106 * [backup-simplify]: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 0))) into 0 1.106 * [backup-simplify]: Simplify (+ 0 0) into 0 1.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (* -1 (/ PI l)))))) into 0 1.107 * [backup-simplify]: Simplify (+ 0) into 0 1.107 * [backup-simplify]: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (* 0 1)) into 0 1.107 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)))) into 0 1.107 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ PI l))) into 0 1.108 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.108 * [backup-simplify]: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (* 0 0)) into 0 1.109 * [backup-simplify]: Simplify (- 0) into 0 1.109 * [backup-simplify]: Simplify (+ 0 0) into 0 1.109 * [backup-simplify]: Simplify (- (/ 0 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))))) into 0 1.110 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))))) into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [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 1.112 * [backup-simplify]: Simplify (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 F)))) into 0 1.113 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))))))) into 0 1.113 * [taylor]: Taking taylor expansion of 0 in F 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 0 into 0 1.114 * [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)))) 1.114 * * * * [progress]: [ 3 / 4 ] generating series at (2 3) 1.114 * [backup-simplify]: Simplify (* PI l) into (* PI l) 1.114 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 1.114 * [taylor]: Taking taylor expansion of (* PI l) in l 1.114 * [taylor]: Taking taylor expansion of PI in l 1.114 * [backup-simplify]: Simplify PI into PI 1.114 * [taylor]: Taking taylor expansion of l in l 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 1 into 1 1.114 * [taylor]: Taking taylor expansion of (* PI l) in l 1.114 * [taylor]: Taking taylor expansion of PI in l 1.114 * [backup-simplify]: Simplify PI into PI 1.114 * [taylor]: Taking taylor expansion of l in l 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 1 into 1 1.115 * [backup-simplify]: Simplify (* PI 0) into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 1.117 * [backup-simplify]: Simplify PI into PI 1.118 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1.118 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.120 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify (* PI l) into (* PI l) 1.123 * [backup-simplify]: Simplify (* PI (/ 1 l)) into (/ PI l) 1.123 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 1.123 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.123 * [taylor]: Taking taylor expansion of PI in l 1.123 * [backup-simplify]: Simplify PI into PI 1.123 * [taylor]: Taking taylor expansion of l in l 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 1 into 1 1.124 * [backup-simplify]: Simplify (/ PI 1) into PI 1.124 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.124 * [taylor]: Taking taylor expansion of PI in l 1.124 * [backup-simplify]: Simplify PI into PI 1.124 * [taylor]: Taking taylor expansion of l in l 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 1 into 1 1.124 * [backup-simplify]: Simplify (/ PI 1) into PI 1.124 * [backup-simplify]: Simplify PI into PI 1.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.132 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.134 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.135 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify (* PI (/ 1 (/ 1 l))) into (* PI l) 1.136 * [backup-simplify]: Simplify (* PI (/ 1 (- l))) into (* -1 (/ PI l)) 1.136 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 1.136 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.136 * [taylor]: Taking taylor expansion of -1 in l 1.136 * [backup-simplify]: Simplify -1 into -1 1.136 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.136 * [taylor]: Taking taylor expansion of PI in l 1.136 * [backup-simplify]: Simplify PI into PI 1.136 * [taylor]: Taking taylor expansion of l in l 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 1 into 1 1.136 * [backup-simplify]: Simplify (/ PI 1) into PI 1.136 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.136 * [taylor]: Taking taylor expansion of -1 in l 1.136 * [backup-simplify]: Simplify -1 into -1 1.136 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.136 * [taylor]: Taking taylor expansion of PI in l 1.136 * [backup-simplify]: Simplify PI into PI 1.136 * [taylor]: Taking taylor expansion of l in l 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 1 into 1 1.137 * [backup-simplify]: Simplify (/ PI 1) into PI 1.137 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 1.137 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 1.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.139 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 1.139 * [backup-simplify]: Simplify 0 into 0 1.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.140 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 1.140 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.141 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.141 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.143 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.144 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.144 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.146 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify (* (* -1 PI) (/ 1 (/ 1 (- l)))) into (* PI l) 1.146 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.147 * [backup-simplify]: Simplify (* PI l) into (* PI l) 1.147 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 1.147 * [taylor]: Taking taylor expansion of (* PI l) in l 1.147 * [taylor]: Taking taylor expansion of PI in l 1.147 * [backup-simplify]: Simplify PI into PI 1.147 * [taylor]: Taking taylor expansion of l in l 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 1 into 1 1.147 * [taylor]: Taking taylor expansion of (* PI l) in l 1.147 * [taylor]: Taking taylor expansion of PI in l 1.147 * [backup-simplify]: Simplify PI into PI 1.147 * [taylor]: Taking taylor expansion of l in l 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 1 into 1 1.147 * [backup-simplify]: Simplify (* PI 0) into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 1.148 * [backup-simplify]: Simplify PI into PI 1.149 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.149 * [backup-simplify]: Simplify 0 into 0 1.150 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.150 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.151 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.152 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify (* PI l) into (* PI l) 1.153 * [backup-simplify]: Simplify (* PI (/ 1 l)) into (/ PI l) 1.153 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 1.153 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.153 * [taylor]: Taking taylor expansion of PI in l 1.153 * [backup-simplify]: Simplify PI into PI 1.153 * [taylor]: Taking taylor expansion of l in l 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify 1 into 1 1.154 * [backup-simplify]: Simplify (/ PI 1) into PI 1.154 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.154 * [taylor]: Taking taylor expansion of PI in l 1.154 * [backup-simplify]: Simplify PI into PI 1.154 * [taylor]: Taking taylor expansion of l in l 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify 1 into 1 1.154 * [backup-simplify]: Simplify (/ PI 1) into PI 1.154 * [backup-simplify]: Simplify PI into PI 1.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.156 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.157 * [backup-simplify]: Simplify 0 into 0 1.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.157 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify (* PI (/ 1 (/ 1 l))) into (* PI l) 1.158 * [backup-simplify]: Simplify (* PI (/ 1 (- l))) into (* -1 (/ PI l)) 1.158 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 1.158 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.158 * [taylor]: Taking taylor expansion of -1 in l 1.158 * [backup-simplify]: Simplify -1 into -1 1.158 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.158 * [taylor]: Taking taylor expansion of PI in l 1.158 * [backup-simplify]: Simplify PI into PI 1.158 * [taylor]: Taking taylor expansion of l in l 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify 1 into 1 1.159 * [backup-simplify]: Simplify (/ PI 1) into PI 1.159 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 1.159 * [taylor]: Taking taylor expansion of -1 in l 1.159 * [backup-simplify]: Simplify -1 into -1 1.159 * [taylor]: Taking taylor expansion of (/ PI l) in l 1.159 * [taylor]: Taking taylor expansion of PI in l 1.159 * [backup-simplify]: Simplify PI into PI 1.159 * [taylor]: Taking taylor expansion of l in l 1.159 * [backup-simplify]: Simplify 0 into 0 1.159 * [backup-simplify]: Simplify 1 into 1 1.159 * [backup-simplify]: Simplify (/ PI 1) into PI 1.160 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 1.160 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 1.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.161 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 1.161 * [backup-simplify]: Simplify 0 into 0 1.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.162 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 1.162 * [backup-simplify]: Simplify 0 into 0 1.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.163 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.163 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.165 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.165 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.166 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.166 * [backup-simplify]: Simplify 0 into 0 1.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.168 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify (* (* -1 PI) (/ 1 (/ 1 (- l)))) into (* PI l) 1.168 * * * [progress]: simplifying candidates 1.170 * [simplify]: Simplifying: (expm1 (tan (* PI l))) (log1p (tan (* PI l))) (sin (* PI l)) (cos (* PI l)) (log (tan (* PI l))) (exp (tan (* PI l))) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (cbrt (tan (* PI l))) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (sqrt (tan (* PI l))) (sqrt (tan (* PI l))) (expm1 (/ (tan (* PI l)) F)) (log1p (/ (tan (* PI l)) F)) (- (log (tan (* PI l))) (log F)) (log (/ (tan (* PI l)) F)) (exp (/ (tan (* PI l)) F)) (/ (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* F F) F)) (* (cbrt (/ (tan (* PI l)) F)) (cbrt (/ (tan (* PI l)) F))) (cbrt (/ (tan (* PI l)) F)) (* (* (/ (tan (* PI l)) F) (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F)) (sqrt (/ (tan (* PI l)) F)) (sqrt (/ (tan (* PI l)) F)) (- (tan (* PI l))) (- F) (/ (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (* (cbrt F) (cbrt F))) (/ (cbrt (tan (* PI l))) (cbrt F)) (/ (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (sqrt F)) (/ (cbrt (tan (* PI l))) (sqrt F)) (/ (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) 1) (/ (cbrt (tan (* PI l))) F) (/ (sqrt (tan (* PI l))) (* (cbrt F) (cbrt F))) (/ (sqrt (tan (* PI l))) (cbrt F)) (/ (sqrt (tan (* PI l))) (sqrt F)) (/ (sqrt (tan (* PI l))) (sqrt F)) (/ (sqrt (tan (* PI l))) 1) (/ (sqrt (tan (* PI l))) F) (/ 1 (* (cbrt F) (cbrt F))) (/ (tan (* PI l)) (cbrt F)) (/ 1 (sqrt F)) (/ (tan (* PI l)) (sqrt F)) (/ 1 1) (/ (tan (* PI l)) F) (/ 1 F) (/ F (tan (* PI l))) (/ (tan (* PI l)) (* (cbrt F) (cbrt F))) (/ (tan (* PI l)) (sqrt F)) (/ (tan (* PI l)) 1) (/ F (cbrt (tan (* PI l)))) (/ F (sqrt (tan (* PI l)))) (/ F (tan (* PI l))) (* F (cos (* PI l))) (expm1 (* PI l)) (log1p (* PI l)) (* PI l) (+ (log PI) (log l)) (log (* PI l)) (exp (* PI l)) (* (* (* PI PI) PI) (* (* l l) l)) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (* (* (* PI l) (* PI l)) (* PI l)) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) (* PI 1) (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (expm1 (* PI l)) (log1p (* PI l)) (* PI l) (+ (log PI) (log l)) (log (* PI l)) (exp (* PI l)) (* (* (* PI PI) PI) (* (* l l) l)) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (* (* (* PI l) (* PI l)) (* PI l)) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) (* PI 1) (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F)))) (/ (sin (* PI l)) (* F (cos (* PI l)))) (/ (sin (* PI l)) (* F (cos (* PI l)))) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) 1.171 * * [simplify]: iteration 0: 111 enodes 1.194 * * [simplify]: iteration 1: 226 enodes 1.284 * * [simplify]: iteration 2: 694 enodes 1.946 * * [simplify]: iteration 3: 3570 enodes 3.025 * * [simplify]: iteration complete: 5004 enodes 3.026 * * [simplify]: Extracting #0: cost 61 inf + 0 3.028 * * [simplify]: Extracting #1: cost 570 inf + 2 3.035 * * [simplify]: Extracting #2: cost 1117 inf + 297 3.044 * * [simplify]: Extracting #3: cost 882 inf + 2535 3.049 * * [simplify]: Extracting #4: cost 221 inf + 8249 3.054 * * [simplify]: Extracting #5: cost 20 inf + 9716 3.059 * * [simplify]: Extracting #6: cost 2 inf + 9807 3.068 * * [simplify]: Extracting #7: cost 0 inf + 9817 3.073 * [simplify]: Simplified to: (expm1 (tan (* PI l))) (log1p (tan (* PI l))) (sin (* PI l)) (cos (* PI l)) (log (tan (* PI l))) (exp (tan (* PI l))) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (cbrt (tan (* PI l))) (pow (tan (* PI l)) 3) (sqrt (tan (* PI l))) (sqrt (tan (* PI l))) (expm1 (/ (tan (* PI l)) F)) (log1p (/ (tan (* PI l)) F)) (log (/ (tan (* PI l)) F)) (log (/ (tan (* PI l)) F)) (exp (/ (tan (* PI l)) F)) (pow (/ (tan (* PI l)) F) 3) (* (cbrt (/ (tan (* PI l)) F)) (cbrt (/ (tan (* PI l)) F))) (cbrt (/ (tan (* PI l)) F)) (pow (/ (tan (* PI l)) F) 3) (sqrt (/ (tan (* PI l)) F)) (sqrt (/ (tan (* PI l)) F)) (- (tan (* PI l))) (- F) (* (/ (cbrt (tan (* PI l))) (* (cbrt F) (cbrt F))) (cbrt (tan (* PI l)))) (/ (cbrt (tan (* PI l))) (cbrt F)) (* (/ (cbrt (tan (* PI l))) (sqrt F)) (cbrt (tan (* PI l)))) (/ (cbrt (tan (* PI l))) (sqrt F)) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (/ (cbrt (tan (* PI l))) F) (/ (sqrt (tan (* PI l))) (* (cbrt F) (cbrt F))) (/ (sqrt (tan (* PI l))) (cbrt F)) (/ (sqrt (tan (* PI l))) (sqrt F)) (/ (sqrt (tan (* PI l))) (sqrt F)) (sqrt (tan (* PI l))) (/ (sqrt (tan (* PI l))) F) (/ 1 (* (cbrt F) (cbrt F))) (/ (tan (* PI l)) (cbrt F)) (/ 1 (sqrt F)) (/ (tan (* PI l)) (sqrt F)) 1 (/ (tan (* PI l)) F) (/ 1 F) (/ F (tan (* PI l))) (/ (tan (* PI l)) (* (cbrt F) (cbrt F))) (/ (tan (* PI l)) (sqrt F)) (tan (* PI l)) (/ F (cbrt (tan (* PI l)))) (/ F (sqrt (tan (* PI l)))) (/ F (tan (* PI l))) (* F (cos (* PI l))) (expm1 (* PI l)) (log1p (* PI l)) (* PI l) (log (* PI l)) (log (* PI l)) (exp (* PI l)) (pow (* PI l) 3) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (pow (* PI l) 3) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt l) (sqrt PI)) (* (sqrt l) (sqrt PI)) (* (* (cbrt l) PI) (cbrt l)) (* (sqrt l) PI) PI (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (expm1 (* PI l)) (log1p (* PI l)) (* PI l) (log (* PI l)) (log (* PI l)) (exp (* PI l)) (pow (* PI l) 3) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (pow (* PI l) 3) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt l) (sqrt PI)) (* (sqrt l) (sqrt PI)) (* (* (cbrt l) PI) (cbrt l)) (* (sqrt l) PI) PI (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (fma (* 2/15 (pow l 5)) (pow PI 5) (fma PI l (* 1/3 (pow (* PI l) 3)))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (fma 1/3 (/ (pow (* PI l) 3) F) (fma 2/15 (/ (pow l 5) (/ F (pow PI 5))) (/ l (/ F PI)))) (/ (/ (sin (* PI l)) (cos (* PI l))) F) (/ (/ (sin (* PI l)) (cos (* PI l))) F) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) 3.074 * * * [progress]: adding candidates to table 3.585 * * [progress]: iteration 2 / 4 3.585 * * * [progress]: picking best candidate 3.688 * * * * [pick]: Picked # 3.688 * * * [progress]: localizing error 3.715 * * * [progress]: generating rewritten candidates 3.715 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 3.734 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.782 * * * * [progress]: [ 3 / 4 ] rewriting at (2 3) 3.792 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 3.807 * * * [progress]: generating series expansions 3.807 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 3.807 * [backup-simplify]: Simplify (tan (* PI l)) into (tan (* PI l)) 3.807 * [approximate]: Taking taylor expansion of (tan (* PI l)) in (l) around 0 3.807 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 3.807 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 3.807 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 3.807 * [taylor]: Taking taylor expansion of (* PI l) in l 3.807 * [taylor]: Taking taylor expansion of PI in l 3.807 * [backup-simplify]: Simplify PI into PI 3.807 * [taylor]: Taking taylor expansion of l in l 3.807 * [backup-simplify]: Simplify 0 into 0 3.807 * [backup-simplify]: Simplify 1 into 1 3.808 * [backup-simplify]: Simplify (* PI 0) into 0 3.810 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 3.810 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 3.810 * [taylor]: Taking taylor expansion of (* PI l) in l 3.810 * [taylor]: Taking taylor expansion of PI in l 3.810 * [backup-simplify]: Simplify PI into PI 3.810 * [taylor]: Taking taylor expansion of l in l 3.810 * [backup-simplify]: Simplify 0 into 0 3.810 * [backup-simplify]: Simplify 1 into 1 3.811 * [backup-simplify]: Simplify (* PI 0) into 0 3.812 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 3.815 * [backup-simplify]: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI 3.816 * [backup-simplify]: Simplify (/ PI 1) into PI 3.816 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 3.816 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 3.816 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 3.816 * [taylor]: Taking taylor expansion of (* PI l) in l 3.816 * [taylor]: Taking taylor expansion of PI in l 3.816 * [backup-simplify]: Simplify PI into PI 3.816 * [taylor]: Taking taylor expansion of l in l 3.816 * [backup-simplify]: Simplify 0 into 0 3.816 * [backup-simplify]: Simplify 1 into 1 3.817 * [backup-simplify]: Simplify (* PI 0) into 0 3.818 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 3.818 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 3.818 * [taylor]: Taking taylor expansion of (* PI l) in l 3.818 * [taylor]: Taking taylor expansion of PI in l 3.818 * [backup-simplify]: Simplify PI into PI 3.818 * [taylor]: Taking taylor expansion of l in l 3.818 * [backup-simplify]: Simplify 0 into 0 3.818 * [backup-simplify]: Simplify 1 into 1 3.819 * [backup-simplify]: Simplify (* PI 0) into 0 3.820 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 3.823 * [backup-simplify]: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI 3.823 * [backup-simplify]: Simplify (/ PI 1) into PI 3.824 * [backup-simplify]: Simplify PI into PI 3.825 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 3.825 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.826 * [backup-simplify]: Simplify (+ 0) into 0 3.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.827 * [backup-simplify]: Simplify 0 into 0 3.828 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.832 * [backup-simplify]: Simplify (+ (* -1 (/ (pow PI 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/6 (pow PI 3))) 3.835 * [backup-simplify]: Simplify (+ (* -1 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) 3.848 * [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)) 3.850 * [backup-simplify]: Simplify (* 1/3 (pow PI 3)) into (* 1/3 (pow PI 3)) 3.851 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.853 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.854 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 3.855 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (pow PI 2))) 1)) (* (* 1/3 (pow PI 3)) (/ 0 1)))) into 0 3.863 * [backup-simplify]: Simplify 0 into 0 3.865 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 3.874 * [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)) 3.875 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.883 * [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)) 3.905 * [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)) 3.906 * [backup-simplify]: Simplify (* 2/15 (pow PI 5)) into (* 2/15 (pow PI 5)) 3.909 * [backup-simplify]: Simplify (+ (* (* 2/15 (pow PI 5)) (pow l 5)) (+ (* (* 1/3 (pow PI 3)) (pow l 3)) (* PI l))) into (+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l))) 3.909 * [backup-simplify]: Simplify (tan (* PI (/ 1 l))) into (tan (/ PI l)) 3.909 * [approximate]: Taking taylor expansion of (tan (/ PI l)) in (l) around 0 3.909 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 3.909 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 3.909 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 3.909 * [taylor]: Taking taylor expansion of (/ PI l) in l 3.909 * [taylor]: Taking taylor expansion of PI in l 3.909 * [backup-simplify]: Simplify PI into PI 3.909 * [taylor]: Taking taylor expansion of l in l 3.909 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify 1 into 1 3.910 * [backup-simplify]: Simplify (/ PI 1) into PI 3.910 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 3.910 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 3.910 * [taylor]: Taking taylor expansion of (/ PI l) in l 3.910 * [taylor]: Taking taylor expansion of PI in l 3.910 * [backup-simplify]: Simplify PI into PI 3.910 * [taylor]: Taking taylor expansion of l in l 3.910 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify 1 into 1 3.911 * [backup-simplify]: Simplify (/ PI 1) into PI 3.911 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 3.911 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 3.911 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 3.911 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 3.911 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 3.911 * [taylor]: Taking taylor expansion of (/ PI l) in l 3.911 * [taylor]: Taking taylor expansion of PI in l 3.911 * [backup-simplify]: Simplify PI into PI 3.911 * [taylor]: Taking taylor expansion of l in l 3.911 * [backup-simplify]: Simplify 0 into 0 3.911 * [backup-simplify]: Simplify 1 into 1 3.912 * [backup-simplify]: Simplify (/ PI 1) into PI 3.912 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 3.912 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 3.912 * [taylor]: Taking taylor expansion of (/ PI l) in l 3.912 * [taylor]: Taking taylor expansion of PI in l 3.912 * [backup-simplify]: Simplify PI into PI 3.912 * [taylor]: Taking taylor expansion of l in l 3.912 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify 1 into 1 3.913 * [backup-simplify]: Simplify (/ PI 1) into PI 3.913 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 3.913 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 3.913 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 3.914 * [backup-simplify]: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))))) into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.915 * [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 3.915 * [backup-simplify]: Simplify 0 into 0 3.915 * [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 3.916 * [backup-simplify]: Simplify 0 into 0 3.916 * [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 3.916 * [backup-simplify]: Simplify 0 into 0 3.917 * [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 3.917 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) 3.918 * [backup-simplify]: Simplify (tan (* PI (/ 1 (- l)))) into (tan (* -1 (/ PI l))) 3.918 * [approximate]: Taking taylor expansion of (tan (* -1 (/ PI l))) in (l) around 0 3.918 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 3.918 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 3.918 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 3.918 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 3.918 * [taylor]: Taking taylor expansion of -1 in l 3.918 * [backup-simplify]: Simplify -1 into -1 3.918 * [taylor]: Taking taylor expansion of (/ PI l) in l 3.918 * [taylor]: Taking taylor expansion of PI in l 3.918 * [backup-simplify]: Simplify PI into PI 3.918 * [taylor]: Taking taylor expansion of l in l 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify 1 into 1 3.919 * [backup-simplify]: Simplify (/ PI 1) into PI 3.919 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 3.919 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 3.919 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 3.920 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 3.920 * [taylor]: Taking taylor expansion of -1 in l 3.920 * [backup-simplify]: Simplify -1 into -1 3.920 * [taylor]: Taking taylor expansion of (/ PI l) in l 3.920 * [taylor]: Taking taylor expansion of PI in l 3.920 * [backup-simplify]: Simplify PI into PI 3.920 * [taylor]: Taking taylor expansion of l in l 3.920 * [backup-simplify]: Simplify 0 into 0 3.920 * [backup-simplify]: Simplify 1 into 1 3.920 * [backup-simplify]: Simplify (/ PI 1) into PI 3.921 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 3.921 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 3.921 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 3.921 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 3.921 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 3.921 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 3.921 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 3.921 * [taylor]: Taking taylor expansion of -1 in l 3.921 * [backup-simplify]: Simplify -1 into -1 3.921 * [taylor]: Taking taylor expansion of (/ PI l) in l 3.921 * [taylor]: Taking taylor expansion of PI in l 3.921 * [backup-simplify]: Simplify PI into PI 3.921 * [taylor]: Taking taylor expansion of l in l 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.922 * [backup-simplify]: Simplify (/ PI 1) into PI 3.922 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 3.923 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 3.923 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 3.923 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 3.923 * [taylor]: Taking taylor expansion of -1 in l 3.923 * [backup-simplify]: Simplify -1 into -1 3.923 * [taylor]: Taking taylor expansion of (/ PI l) in l 3.923 * [taylor]: Taking taylor expansion of PI in l 3.923 * [backup-simplify]: Simplify PI into PI 3.923 * [taylor]: Taking taylor expansion of l in l 3.923 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify 1 into 1 3.923 * [backup-simplify]: Simplify (/ PI 1) into PI 3.924 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 3.924 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 3.924 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 3.925 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 3.925 * [backup-simplify]: Simplify (- (/ 0 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))))) into 0 3.925 * [backup-simplify]: Simplify 0 into 0 3.926 * [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 3.926 * [backup-simplify]: Simplify 0 into 0 3.927 * [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 3.927 * [backup-simplify]: Simplify 0 into 0 3.928 * [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 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [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 3.929 * [backup-simplify]: Simplify 0 into 0 3.930 * [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 3.930 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) 3.930 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.930 * [backup-simplify]: Simplify (* (tan (* PI l)) (/ 1 F)) into (/ (tan (* PI l)) F) 3.930 * [approximate]: Taking taylor expansion of (/ (tan (* PI l)) F) in (l F) around 0 3.930 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in F 3.930 * [taylor]: Taking taylor expansion of (tan (* PI l)) in F 3.930 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 3.930 * [taylor]: Taking taylor expansion of (sin (* PI l)) in F 3.930 * [taylor]: Taking taylor expansion of (* PI l) in F 3.931 * [taylor]: Taking taylor expansion of PI in F 3.931 * [backup-simplify]: Simplify PI into PI 3.931 * [taylor]: Taking taylor expansion of l in F 3.931 * [backup-simplify]: Simplify l into l 3.931 * [backup-simplify]: Simplify (* PI l) into (* PI l) 3.931 * [backup-simplify]: Simplify (sin (* PI l)) into (sin (* PI l)) 3.931 * [backup-simplify]: Simplify (cos (* PI l)) into (cos (* PI l)) 3.931 * [taylor]: Taking taylor expansion of (cos (* PI l)) in F 3.931 * [taylor]: Taking taylor expansion of (* PI l) in F 3.931 * [taylor]: Taking taylor expansion of PI in F 3.931 * [backup-simplify]: Simplify PI into PI 3.931 * [taylor]: Taking taylor expansion of l in F 3.931 * [backup-simplify]: Simplify l into l 3.931 * [backup-simplify]: Simplify (* PI l) into (* PI l) 3.931 * [backup-simplify]: Simplify (cos (* PI l)) into (cos (* PI l)) 3.931 * [backup-simplify]: Simplify (sin (* PI l)) into (sin (* PI l)) 3.931 * [backup-simplify]: Simplify (* (sin (* PI l)) 1) into (sin (* PI l)) 3.931 * [backup-simplify]: Simplify (* (cos (* PI l)) 0) into 0 3.932 * [backup-simplify]: Simplify (+ (sin (* PI l)) 0) into (sin (* PI l)) 3.932 * [backup-simplify]: Simplify (* (cos (* PI l)) 1) into (cos (* PI l)) 3.932 * [backup-simplify]: Simplify (* (sin (* PI l)) 0) into 0 3.932 * [backup-simplify]: Simplify (- 0) into 0 3.932 * [backup-simplify]: Simplify (+ (cos (* PI l)) 0) into (cos (* PI l)) 3.933 * [backup-simplify]: Simplify (/ (sin (* PI l)) (cos (* PI l))) into (/ (sin (* PI l)) (cos (* PI l))) 3.933 * [taylor]: Taking taylor expansion of F in F 3.933 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify 1 into 1 3.933 * [backup-simplify]: Simplify (/ (/ (sin (* PI l)) (cos (* PI l))) 1) into (/ (sin (* PI l)) (cos (* PI l))) 3.933 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in l 3.933 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 3.933 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 3.933 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 3.933 * [taylor]: Taking taylor expansion of (* PI l) in l 3.933 * [taylor]: Taking taylor expansion of PI in l 3.933 * [backup-simplify]: Simplify PI into PI 3.933 * [taylor]: Taking taylor expansion of l in l 3.933 * [backup-simplify]: Simplify 0 into 0 3.933 * [backup-simplify]: Simplify 1 into 1 3.934 * [backup-simplify]: Simplify (* PI 0) into 0 3.935 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 3.935 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 3.935 * [taylor]: Taking taylor expansion of (* PI l) in l 3.935 * [taylor]: Taking taylor expansion of PI in l 3.935 * [backup-simplify]: Simplify PI into PI 3.935 * [taylor]: Taking taylor expansion of l in l 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify 1 into 1 3.936 * [backup-simplify]: Simplify (* PI 0) into 0 3.937 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 3.940 * [backup-simplify]: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI 3.941 * [backup-simplify]: Simplify (/ PI 1) into PI 3.941 * [taylor]: Taking taylor expansion of F in l 3.941 * [backup-simplify]: Simplify F into F 3.941 * [backup-simplify]: Simplify (/ PI F) into (/ PI F) 3.941 * [taylor]: Taking taylor expansion of (/ (tan (* PI l)) F) in l 3.941 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 3.941 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 3.941 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 3.941 * [taylor]: Taking taylor expansion of (* PI l) in l 3.941 * [taylor]: Taking taylor expansion of PI in l 3.941 * [backup-simplify]: Simplify PI into PI 3.941 * [taylor]: Taking taylor expansion of l in l 3.941 * [backup-simplify]: Simplify 0 into 0 3.941 * [backup-simplify]: Simplify 1 into 1 3.941 * [backup-simplify]: Simplify (* PI 0) into 0 3.943 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 3.943 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 3.943 * [taylor]: Taking taylor expansion of (* PI l) in l 3.943 * [taylor]: Taking taylor expansion of PI in l 3.943 * [backup-simplify]: Simplify PI into PI 3.943 * [taylor]: Taking taylor expansion of l in l 3.943 * [backup-simplify]: Simplify 0 into 0 3.943 * [backup-simplify]: Simplify 1 into 1 3.944 * [backup-simplify]: Simplify (* PI 0) into 0 3.945 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 3.948 * [backup-simplify]: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI 3.948 * [backup-simplify]: Simplify (/ PI 1) into PI 3.948 * [taylor]: Taking taylor expansion of F in l 3.948 * [backup-simplify]: Simplify F into F 3.948 * [backup-simplify]: Simplify (/ PI F) into (/ PI F) 3.948 * [taylor]: Taking taylor expansion of (/ PI F) in F 3.948 * [taylor]: Taking taylor expansion of PI in F 3.949 * [backup-simplify]: Simplify PI into PI 3.949 * [taylor]: Taking taylor expansion of F in F 3.949 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify 1 into 1 3.949 * [backup-simplify]: Simplify (/ PI 1) into PI 3.949 * [backup-simplify]: Simplify PI into PI 3.950 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 3.951 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 3.951 * [backup-simplify]: Simplify (+ 0) into 0 3.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.952 * [backup-simplify]: Simplify (- (/ 0 F) (+ (* (/ PI F) (/ 0 F)))) into 0 3.952 * [taylor]: Taking taylor expansion of 0 in F 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.954 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.959 * [backup-simplify]: Simplify (+ (* -1 (/ (pow PI 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/6 (pow PI 3))) 3.962 * [backup-simplify]: Simplify (+ (* -1 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) 3.975 * [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)) 3.977 * [backup-simplify]: Simplify (- (/ (* 1/3 (pow PI 3)) F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)))) into (* 1/3 (/ (pow PI 3) F)) 3.977 * [taylor]: Taking taylor expansion of (* 1/3 (/ (pow PI 3) F)) in F 3.977 * [taylor]: Taking taylor expansion of 1/3 in F 3.977 * [backup-simplify]: Simplify 1/3 into 1/3 3.977 * [taylor]: Taking taylor expansion of (/ (pow PI 3) F) in F 3.977 * [taylor]: Taking taylor expansion of (pow PI 3) in F 3.977 * [taylor]: Taking taylor expansion of PI in F 3.977 * [backup-simplify]: Simplify PI into PI 3.977 * [taylor]: Taking taylor expansion of F in F 3.977 * [backup-simplify]: Simplify 0 into 0 3.977 * [backup-simplify]: Simplify 1 into 1 3.978 * [backup-simplify]: Simplify (* PI PI) into (pow PI 2) 3.979 * [backup-simplify]: Simplify (* PI (pow PI 2)) into (pow PI 3) 3.980 * [backup-simplify]: Simplify (/ (pow PI 3) 1) into (pow PI 3) 3.981 * [backup-simplify]: Simplify (* 1/3 (pow PI 3)) into (* 1/3 (pow PI 3)) 3.982 * [backup-simplify]: Simplify (* 1/3 (pow PI 3)) into (* 1/3 (pow PI 3)) 3.983 * [backup-simplify]: Simplify 0 into 0 3.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.984 * [backup-simplify]: Simplify 0 into 0 3.985 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 3.987 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 3.988 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 3.989 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 3.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (pow PI 2))) 1)) (* (* 1/3 (pow PI 3)) (/ 0 1)))) into 0 3.993 * [backup-simplify]: Simplify (- (/ 0 F) (+ (* (/ PI F) (/ 0 F)) (* 0 (/ 0 F)) (* (* 1/3 (/ (pow PI 3) F)) (/ 0 F)))) into 0 3.994 * [taylor]: Taking taylor expansion of 0 in F 3.994 * [backup-simplify]: Simplify 0 into 0 3.994 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 PI)) into 0 3.995 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 3.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow PI 3) (/ 0 1)))) into 0 3.997 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow PI 3))) into 0 3.997 * [backup-simplify]: Simplify 0 into 0 3.998 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.999 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.009 * [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)) 4.011 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.024 * [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)) 4.046 * [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)) 4.049 * [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)) 4.049 * [taylor]: Taking taylor expansion of (* 2/15 (/ (pow PI 5) F)) in F 4.049 * [taylor]: Taking taylor expansion of 2/15 in F 4.049 * [backup-simplify]: Simplify 2/15 into 2/15 4.049 * [taylor]: Taking taylor expansion of (/ (pow PI 5) F) in F 4.049 * [taylor]: Taking taylor expansion of (pow PI 5) in F 4.049 * [taylor]: Taking taylor expansion of PI in F 4.049 * [backup-simplify]: Simplify PI into PI 4.049 * [taylor]: Taking taylor expansion of F in F 4.049 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify 1 into 1 4.049 * [backup-simplify]: Simplify (* PI PI) into (pow PI 2) 4.051 * [backup-simplify]: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 4.052 * [backup-simplify]: Simplify (* PI (pow PI 4)) into (pow PI 5) 4.054 * [backup-simplify]: Simplify (/ (pow PI 5) 1) into (pow PI 5) 4.055 * [backup-simplify]: Simplify (* 2/15 (pow PI 5)) into (* 2/15 (pow PI 5)) 4.057 * [backup-simplify]: Simplify (* 2/15 (pow PI 5)) into (* 2/15 (pow PI 5)) 4.060 * [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 (+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F)))) 4.060 * [backup-simplify]: Simplify (* (tan (* PI (/ 1 l))) (/ 1 (/ 1 F))) into (* (tan (/ PI l)) F) 4.060 * [approximate]: Taking taylor expansion of (* (tan (/ PI l)) F) in (l F) around 0 4.060 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in F 4.061 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in F 4.061 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 4.061 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 4.061 * [taylor]: Taking taylor expansion of (/ PI l) in F 4.061 * [taylor]: Taking taylor expansion of PI in F 4.061 * [backup-simplify]: Simplify PI into PI 4.061 * [taylor]: Taking taylor expansion of l in F 4.061 * [backup-simplify]: Simplify l into l 4.061 * [backup-simplify]: Simplify (/ PI l) into (/ PI l) 4.061 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 4.061 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 4.061 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 4.061 * [taylor]: Taking taylor expansion of (/ PI l) in F 4.061 * [taylor]: Taking taylor expansion of PI in F 4.061 * [backup-simplify]: Simplify PI into PI 4.061 * [taylor]: Taking taylor expansion of l in F 4.061 * [backup-simplify]: Simplify l into l 4.061 * [backup-simplify]: Simplify (/ PI l) into (/ PI l) 4.061 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 4.061 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 4.062 * [backup-simplify]: Simplify (* (sin (/ PI l)) 1) into (sin (/ PI l)) 4.062 * [backup-simplify]: Simplify (* (cos (/ PI l)) 0) into 0 4.062 * [backup-simplify]: Simplify (+ (sin (/ PI l)) 0) into (sin (/ PI l)) 4.062 * [backup-simplify]: Simplify (* (cos (/ PI l)) 1) into (cos (/ PI l)) 4.062 * [backup-simplify]: Simplify (* (sin (/ PI l)) 0) into 0 4.062 * [backup-simplify]: Simplify (- 0) into 0 4.063 * [backup-simplify]: Simplify (+ (cos (/ PI l)) 0) into (cos (/ PI l)) 4.063 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 4.063 * [taylor]: Taking taylor expansion of F in F 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify 1 into 1 4.063 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in l 4.063 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 4.063 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 4.063 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 4.063 * [taylor]: Taking taylor expansion of (/ PI l) in l 4.063 * [taylor]: Taking taylor expansion of PI in l 4.063 * [backup-simplify]: Simplify PI into PI 4.063 * [taylor]: Taking taylor expansion of l in l 4.063 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify 1 into 1 4.064 * [backup-simplify]: Simplify (/ PI 1) into PI 4.064 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 4.064 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 4.064 * [taylor]: Taking taylor expansion of (/ PI l) in l 4.064 * [taylor]: Taking taylor expansion of PI in l 4.064 * [backup-simplify]: Simplify PI into PI 4.064 * [taylor]: Taking taylor expansion of l in l 4.064 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify 1 into 1 4.064 * [backup-simplify]: Simplify (/ PI 1) into PI 4.065 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 4.065 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 4.065 * [taylor]: Taking taylor expansion of F in l 4.065 * [backup-simplify]: Simplify F into F 4.065 * [taylor]: Taking taylor expansion of (* (tan (/ PI l)) F) in l 4.065 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 4.065 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 4.065 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 4.065 * [taylor]: Taking taylor expansion of (/ PI l) in l 4.065 * [taylor]: Taking taylor expansion of PI in l 4.065 * [backup-simplify]: Simplify PI into PI 4.065 * [taylor]: Taking taylor expansion of l in l 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 1 into 1 4.066 * [backup-simplify]: Simplify (/ PI 1) into PI 4.066 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 4.066 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 4.066 * [taylor]: Taking taylor expansion of (/ PI l) in l 4.066 * [taylor]: Taking taylor expansion of PI in l 4.066 * [backup-simplify]: Simplify PI into PI 4.066 * [taylor]: Taking taylor expansion of l in l 4.066 * [backup-simplify]: Simplify 0 into 0 4.066 * [backup-simplify]: Simplify 1 into 1 4.066 * [backup-simplify]: Simplify (/ PI 1) into PI 4.067 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 4.067 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 4.067 * [taylor]: Taking taylor expansion of F in l 4.067 * [backup-simplify]: Simplify F into F 4.067 * [backup-simplify]: Simplify (* (/ (sin (/ PI l)) (cos (/ PI l))) F) into (/ (* F (sin (/ PI l))) (cos (/ PI l))) 4.067 * [taylor]: Taking taylor expansion of (/ (* F (sin (/ PI l))) (cos (/ PI l))) in F 4.067 * [taylor]: Taking taylor expansion of (* F (sin (/ PI l))) in F 4.067 * [taylor]: Taking taylor expansion of F in F 4.067 * [backup-simplify]: Simplify 0 into 0 4.067 * [backup-simplify]: Simplify 1 into 1 4.067 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in F 4.067 * [taylor]: Taking taylor expansion of (/ PI l) in F 4.067 * [taylor]: Taking taylor expansion of PI in F 4.067 * [backup-simplify]: Simplify PI into PI 4.067 * [taylor]: Taking taylor expansion of l in F 4.067 * [backup-simplify]: Simplify l into l 4.067 * [backup-simplify]: Simplify (/ PI l) into (/ PI l) 4.067 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 4.068 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 4.068 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in F 4.068 * [taylor]: Taking taylor expansion of (/ PI l) in F 4.068 * [taylor]: Taking taylor expansion of PI in F 4.068 * [backup-simplify]: Simplify PI into PI 4.068 * [taylor]: Taking taylor expansion of l in F 4.068 * [backup-simplify]: Simplify l into l 4.068 * [backup-simplify]: Simplify (/ PI l) into (/ PI l) 4.068 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 4.068 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 4.068 * [backup-simplify]: Simplify (* (sin (/ PI l)) 1) into (sin (/ PI l)) 4.068 * [backup-simplify]: Simplify (* (cos (/ PI l)) 0) into 0 4.068 * [backup-simplify]: Simplify (+ (sin (/ PI l)) 0) into (sin (/ PI l)) 4.068 * [backup-simplify]: Simplify (* 0 (sin (/ PI l))) into 0 4.069 * [backup-simplify]: Simplify (+ 0) into 0 4.069 * [backup-simplify]: Simplify (+ (* (sin (/ PI l)) 0) (* 0 1)) into 0 4.070 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)))) into 0 4.070 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.071 * [backup-simplify]: Simplify (+ (* (cos (/ PI l)) 0) (* 0 0)) into 0 4.071 * [backup-simplify]: Simplify (+ 0 0) into 0 4.072 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (/ PI l)))) into (sin (/ PI l)) 4.072 * [backup-simplify]: Simplify (* (cos (/ PI l)) 1) into (cos (/ PI l)) 4.072 * [backup-simplify]: Simplify (* (sin (/ PI l)) 0) into 0 4.072 * [backup-simplify]: Simplify (- 0) into 0 4.072 * [backup-simplify]: Simplify (+ (cos (/ PI l)) 0) into (cos (/ PI l)) 4.072 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 4.073 * [backup-simplify]: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))))) into 0 4.073 * [backup-simplify]: Simplify (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) 0) (* 0 F)) into 0 4.073 * [taylor]: Taking taylor expansion of 0 in F 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 4.074 * [backup-simplify]: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) into 0 4.075 * [backup-simplify]: Simplify (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) 0) (+ (* 0 0) (* 0 F))) into 0 4.075 * [taylor]: Taking taylor expansion of 0 in F 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 0 into 0 4.076 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.076 * [backup-simplify]: Simplify (+ (* (sin (/ PI l)) 0) (+ (* 0 0) (* 0 1))) into 0 4.077 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 4.077 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.078 * [backup-simplify]: Simplify (+ (* (cos (/ PI l)) 0) (+ (* 0 0) (* 0 0))) into 0 4.078 * [backup-simplify]: Simplify (+ 0 0) into 0 4.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (/ PI l))))) into 0 4.080 * [backup-simplify]: Simplify (+ 0) into 0 4.080 * [backup-simplify]: Simplify (+ (* (cos (/ PI l)) 0) (* 0 1)) into 0 4.080 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)))) into 0 4.081 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.082 * [backup-simplify]: Simplify (+ (* (sin (/ PI l)) 0) (* 0 0)) into 0 4.082 * [backup-simplify]: Simplify (- 0) into 0 4.082 * [backup-simplify]: Simplify (+ 0 0) into 0 4.083 * [backup-simplify]: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))))) into 0 4.083 * [backup-simplify]: Simplify 0 into 0 4.084 * [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 4.085 * [backup-simplify]: Simplify (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 F)))) into 0 4.085 * [taylor]: Taking taylor expansion of 0 in F 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify (* (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) (* (/ 1 F) 1)) into (/ (sin (* PI l)) (* F (cos (* PI l)))) 4.086 * [backup-simplify]: Simplify (* (tan (* PI (/ 1 (- l)))) (/ 1 (/ 1 (- F)))) into (* -1 (* (tan (* -1 (/ PI l))) F)) 4.086 * [approximate]: Taking taylor expansion of (* -1 (* (tan (* -1 (/ PI l))) F)) in (l F) around 0 4.086 * [taylor]: Taking taylor expansion of (* -1 (* (tan (* -1 (/ PI l))) F)) in F 4.086 * [taylor]: Taking taylor expansion of -1 in F 4.086 * [backup-simplify]: Simplify -1 into -1 4.086 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in F 4.086 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in F 4.086 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 4.086 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 4.086 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 4.086 * [taylor]: Taking taylor expansion of -1 in F 4.086 * [backup-simplify]: Simplify -1 into -1 4.086 * [taylor]: Taking taylor expansion of (/ PI l) in F 4.086 * [taylor]: Taking taylor expansion of PI in F 4.086 * [backup-simplify]: Simplify PI into PI 4.086 * [taylor]: Taking taylor expansion of l in F 4.086 * [backup-simplify]: Simplify l into l 4.086 * [backup-simplify]: Simplify (/ PI l) into (/ PI l) 4.086 * [backup-simplify]: Simplify (* -1 (/ PI l)) into (* -1 (/ PI l)) 4.087 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 4.087 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 4.087 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 4.087 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 4.087 * [taylor]: Taking taylor expansion of -1 in F 4.087 * [backup-simplify]: Simplify -1 into -1 4.087 * [taylor]: Taking taylor expansion of (/ PI l) in F 4.087 * [taylor]: Taking taylor expansion of PI in F 4.087 * [backup-simplify]: Simplify PI into PI 4.087 * [taylor]: Taking taylor expansion of l in F 4.087 * [backup-simplify]: Simplify l into l 4.087 * [backup-simplify]: Simplify (/ PI l) into (/ PI l) 4.087 * [backup-simplify]: Simplify (* -1 (/ PI l)) into (* -1 (/ PI l)) 4.087 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 4.087 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 4.087 * [backup-simplify]: Simplify (* (sin (* -1 (/ PI l))) 1) into (sin (* -1 (/ PI l))) 4.088 * [backup-simplify]: Simplify (* (cos (* -1 (/ PI l))) 0) into 0 4.088 * [backup-simplify]: Simplify (+ (sin (* -1 (/ PI l))) 0) into (sin (* -1 (/ PI l))) 4.088 * [backup-simplify]: Simplify (* (cos (* -1 (/ PI l))) 1) into (cos (* -1 (/ PI l))) 4.088 * [backup-simplify]: Simplify (* (sin (* -1 (/ PI l))) 0) into 0 4.088 * [backup-simplify]: Simplify (- 0) into 0 4.089 * [backup-simplify]: Simplify (+ (cos (* -1 (/ PI l))) 0) into (cos (* -1 (/ PI l))) 4.089 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 4.089 * [taylor]: Taking taylor expansion of F in F 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 1 into 1 4.089 * [taylor]: Taking taylor expansion of (* -1 (* (tan (* -1 (/ PI l))) F)) in l 4.089 * [taylor]: Taking taylor expansion of -1 in l 4.089 * [backup-simplify]: Simplify -1 into -1 4.089 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in l 4.089 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 4.089 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 4.089 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 4.089 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 4.089 * [taylor]: Taking taylor expansion of -1 in l 4.089 * [backup-simplify]: Simplify -1 into -1 4.089 * [taylor]: Taking taylor expansion of (/ PI l) in l 4.089 * [taylor]: Taking taylor expansion of PI in l 4.089 * [backup-simplify]: Simplify PI into PI 4.089 * [taylor]: Taking taylor expansion of l in l 4.089 * [backup-simplify]: Simplify 0 into 0 4.089 * [backup-simplify]: Simplify 1 into 1 4.090 * [backup-simplify]: Simplify (/ PI 1) into PI 4.090 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 4.091 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 4.091 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 4.091 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 4.091 * [taylor]: Taking taylor expansion of -1 in l 4.091 * [backup-simplify]: Simplify -1 into -1 4.091 * [taylor]: Taking taylor expansion of (/ PI l) in l 4.091 * [taylor]: Taking taylor expansion of PI in l 4.091 * [backup-simplify]: Simplify PI into PI 4.091 * [taylor]: Taking taylor expansion of l in l 4.091 * [backup-simplify]: Simplify 0 into 0 4.091 * [backup-simplify]: Simplify 1 into 1 4.091 * [backup-simplify]: Simplify (/ PI 1) into PI 4.092 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 4.092 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 4.092 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 4.092 * [taylor]: Taking taylor expansion of F in l 4.092 * [backup-simplify]: Simplify F into F 4.092 * [taylor]: Taking taylor expansion of (* -1 (* (tan (* -1 (/ PI l))) F)) in l 4.092 * [taylor]: Taking taylor expansion of -1 in l 4.092 * [backup-simplify]: Simplify -1 into -1 4.092 * [taylor]: Taking taylor expansion of (* (tan (* -1 (/ PI l))) F) in l 4.092 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 4.093 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 4.093 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 4.093 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 4.093 * [taylor]: Taking taylor expansion of -1 in l 4.093 * [backup-simplify]: Simplify -1 into -1 4.093 * [taylor]: Taking taylor expansion of (/ PI l) in l 4.093 * [taylor]: Taking taylor expansion of PI in l 4.093 * [backup-simplify]: Simplify PI into PI 4.093 * [taylor]: Taking taylor expansion of l in l 4.093 * [backup-simplify]: Simplify 0 into 0 4.093 * [backup-simplify]: Simplify 1 into 1 4.093 * [backup-simplify]: Simplify (/ PI 1) into PI 4.094 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 4.094 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 4.094 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 4.094 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 4.094 * [taylor]: Taking taylor expansion of -1 in l 4.094 * [backup-simplify]: Simplify -1 into -1 4.094 * [taylor]: Taking taylor expansion of (/ PI l) in l 4.094 * [taylor]: Taking taylor expansion of PI in l 4.094 * [backup-simplify]: Simplify PI into PI 4.094 * [taylor]: Taking taylor expansion of l in l 4.094 * [backup-simplify]: Simplify 0 into 0 4.094 * [backup-simplify]: Simplify 1 into 1 4.095 * [backup-simplify]: Simplify (/ PI 1) into PI 4.095 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 4.095 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 4.096 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 4.096 * [taylor]: Taking taylor expansion of F in l 4.096 * [backup-simplify]: Simplify F into F 4.096 * [backup-simplify]: Simplify (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) F) into (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) 4.096 * [backup-simplify]: Simplify (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) into (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) 4.096 * [taylor]: Taking taylor expansion of (* -1 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))) in F 4.096 * [taylor]: Taking taylor expansion of -1 in F 4.096 * [backup-simplify]: Simplify -1 into -1 4.096 * [taylor]: Taking taylor expansion of (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))) in F 4.096 * [taylor]: Taking taylor expansion of (* F (sin (* -1 (/ PI l)))) in F 4.096 * [taylor]: Taking taylor expansion of F in F 4.096 * [backup-simplify]: Simplify 0 into 0 4.096 * [backup-simplify]: Simplify 1 into 1 4.097 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in F 4.097 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 4.097 * [taylor]: Taking taylor expansion of -1 in F 4.097 * [backup-simplify]: Simplify -1 into -1 4.097 * [taylor]: Taking taylor expansion of (/ PI l) in F 4.097 * [taylor]: Taking taylor expansion of PI in F 4.097 * [backup-simplify]: Simplify PI into PI 4.097 * [taylor]: Taking taylor expansion of l in F 4.097 * [backup-simplify]: Simplify l into l 4.097 * [backup-simplify]: Simplify (/ PI l) into (/ PI l) 4.097 * [backup-simplify]: Simplify (* -1 (/ PI l)) into (* -1 (/ PI l)) 4.097 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 4.097 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 4.097 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in F 4.097 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in F 4.097 * [taylor]: Taking taylor expansion of -1 in F 4.097 * [backup-simplify]: Simplify -1 into -1 4.097 * [taylor]: Taking taylor expansion of (/ PI l) in F 4.097 * [taylor]: Taking taylor expansion of PI in F 4.097 * [backup-simplify]: Simplify PI into PI 4.097 * [taylor]: Taking taylor expansion of l in F 4.097 * [backup-simplify]: Simplify l into l 4.097 * [backup-simplify]: Simplify (/ PI l) into (/ PI l) 4.098 * [backup-simplify]: Simplify (* -1 (/ PI l)) into (* -1 (/ PI l)) 4.098 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 4.098 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 4.098 * [backup-simplify]: Simplify (* (sin (* -1 (/ PI l))) 1) into (sin (* -1 (/ PI l))) 4.098 * [backup-simplify]: Simplify (* (cos (* -1 (/ PI l))) 0) into 0 4.098 * [backup-simplify]: Simplify (+ (sin (* -1 (/ PI l))) 0) into (sin (* -1 (/ PI l))) 4.098 * [backup-simplify]: Simplify (* 0 (sin (* -1 (/ PI l)))) into 0 4.099 * [backup-simplify]: Simplify (+ 0) into 0 4.099 * [backup-simplify]: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (* 0 1)) into 0 4.100 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)))) into 0 4.100 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ PI l))) into 0 4.101 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.101 * [backup-simplify]: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (* 0 0)) into 0 4.102 * [backup-simplify]: Simplify (+ 0 0) into 0 4.102 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin (* -1 (/ PI l))))) into (sin (* -1 (/ PI l))) 4.102 * [backup-simplify]: Simplify (* (cos (* -1 (/ PI l))) 1) into (cos (* -1 (/ PI l))) 4.102 * [backup-simplify]: Simplify (* (sin (* -1 (/ PI l))) 0) into 0 4.103 * [backup-simplify]: Simplify (- 0) into 0 4.103 * [backup-simplify]: Simplify (+ (cos (* -1 (/ PI l))) 0) into (cos (* -1 (/ PI l))) 4.103 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 4.104 * [backup-simplify]: Simplify (- (/ 0 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))))) into 0 4.104 * [backup-simplify]: Simplify (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0) (* 0 F)) into 0 4.105 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))))) into 0 4.105 * [taylor]: Taking taylor expansion of 0 in F 4.105 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) into (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) 4.105 * [backup-simplify]: Simplify (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) into (* -1 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l))))) 4.106 * [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 4.106 * [backup-simplify]: Simplify (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0) (+ (* 0 0) (* 0 F))) into 0 4.107 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l))))))) into 0 4.108 * [taylor]: Taking taylor expansion of 0 in F 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify 0 into 0 4.108 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.109 * [backup-simplify]: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 1))) into 0 4.109 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 4.110 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ PI l)))) into 0 4.111 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.112 * [backup-simplify]: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (+ (* 0 0) (* 0 0))) into 0 4.112 * [backup-simplify]: Simplify (+ 0 0) into 0 4.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin (* -1 (/ PI l)))))) into 0 4.113 * [backup-simplify]: Simplify (+ 0) into 0 4.114 * [backup-simplify]: Simplify (+ (* (cos (* -1 (/ PI l))) 0) (* 0 1)) into 0 4.114 * [backup-simplify]: Simplify (- (/ 0 l) (+ (* (/ PI l) (/ 0 l)))) into 0 4.114 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ PI l))) into 0 4.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.116 * [backup-simplify]: Simplify (+ (* (sin (* -1 (/ PI l))) 0) (* 0 0)) into 0 4.116 * [backup-simplify]: Simplify (- 0) into 0 4.116 * [backup-simplify]: Simplify (+ 0 0) into 0 4.117 * [backup-simplify]: Simplify (- (/ 0 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))))) into 0 4.118 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))))) into 0 4.118 * [backup-simplify]: Simplify 0 into 0 4.118 * [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 4.119 * [backup-simplify]: Simplify (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 F)))) into 0 4.121 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* F (sin (* -1 (/ PI l)))) (cos (* -1 (/ PI l)))))))) into 0 4.121 * [taylor]: Taking taylor expansion of 0 in F 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [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)))) 4.121 * * * * [progress]: [ 3 / 4 ] generating series at (2 3) 4.121 * [backup-simplify]: Simplify (* PI l) into (* PI l) 4.121 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 4.121 * [taylor]: Taking taylor expansion of (* PI l) in l 4.121 * [taylor]: Taking taylor expansion of PI in l 4.121 * [backup-simplify]: Simplify PI into PI 4.121 * [taylor]: Taking taylor expansion of l in l 4.121 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify 1 into 1 4.121 * [taylor]: Taking taylor expansion of (* PI l) in l 4.121 * [taylor]: Taking taylor expansion of PI in l 4.121 * [backup-simplify]: Simplify PI into PI 4.121 * [taylor]: Taking taylor expansion of l in l 4.121 * [backup-simplify]: Simplify 0 into 0 4.122 * [backup-simplify]: Simplify 1 into 1 4.122 * [backup-simplify]: Simplify (* PI 0) into 0 4.122 * [backup-simplify]: Simplify 0 into 0 4.123 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 4.123 * [backup-simplify]: Simplify PI into PI 4.123 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 4.123 * [backup-simplify]: Simplify 0 into 0 4.124 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.124 * [backup-simplify]: Simplify 0 into 0 4.125 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.125 * [backup-simplify]: Simplify 0 into 0 4.126 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.126 * [backup-simplify]: Simplify 0 into 0 4.127 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.127 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify (* PI l) into (* PI l) 4.128 * [backup-simplify]: Simplify (* PI (/ 1 l)) into (/ PI l) 4.128 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 4.128 * [taylor]: Taking taylor expansion of (/ PI l) in l 4.128 * [taylor]: Taking taylor expansion of PI in l 4.128 * [backup-simplify]: Simplify PI into PI 4.128 * [taylor]: Taking taylor expansion of l in l 4.128 * [backup-simplify]: Simplify 0 into 0 4.128 * [backup-simplify]: Simplify 1 into 1 4.129 * [backup-simplify]: Simplify (/ PI 1) into PI 4.129 * [taylor]: Taking taylor expansion of (/ PI l) in l 4.129 * [taylor]: Taking taylor expansion of PI in l 4.129 * [backup-simplify]: Simplify PI into PI 4.129 * [taylor]: Taking taylor expansion of l in l 4.129 * [backup-simplify]: Simplify 0 into 0 4.129 * [backup-simplify]: Simplify 1 into 1 4.129 * [backup-simplify]: Simplify (/ PI 1) into PI 4.129 * [backup-simplify]: Simplify PI into PI 4.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.130 * [backup-simplify]: Simplify 0 into 0 4.130 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.130 * [backup-simplify]: Simplify 0 into 0 4.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.131 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.132 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.133 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify (* PI (/ 1 (/ 1 l))) into (* PI l) 4.133 * [backup-simplify]: Simplify (* PI (/ 1 (- l))) into (* -1 (/ PI l)) 4.133 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 4.133 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 4.133 * [taylor]: Taking taylor expansion of -1 in l 4.133 * [backup-simplify]: Simplify -1 into -1 4.133 * [taylor]: Taking taylor expansion of (/ PI l) in l 4.133 * [taylor]: Taking taylor expansion of PI in l 4.133 * [backup-simplify]: Simplify PI into PI 4.133 * [taylor]: Taking taylor expansion of l in l 4.133 * [backup-simplify]: Simplify 0 into 0 4.133 * [backup-simplify]: Simplify 1 into 1 4.134 * [backup-simplify]: Simplify (/ PI 1) into PI 4.134 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 4.134 * [taylor]: Taking taylor expansion of -1 in l 4.134 * [backup-simplify]: Simplify -1 into -1 4.134 * [taylor]: Taking taylor expansion of (/ PI l) in l 4.134 * [taylor]: Taking taylor expansion of PI in l 4.134 * [backup-simplify]: Simplify PI into PI 4.134 * [taylor]: Taking taylor expansion of l in l 4.134 * [backup-simplify]: Simplify 0 into 0 4.134 * [backup-simplify]: Simplify 1 into 1 4.134 * [backup-simplify]: Simplify (/ PI 1) into PI 4.134 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 4.135 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 4.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.136 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 4.136 * [backup-simplify]: Simplify 0 into 0 4.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.137 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 4.137 * [backup-simplify]: Simplify 0 into 0 4.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.138 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.138 * [backup-simplify]: Simplify 0 into 0 4.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.140 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.140 * [backup-simplify]: Simplify 0 into 0 4.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.141 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.141 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.143 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify (* (* -1 PI) (/ 1 (/ 1 (- l)))) into (* PI l) 4.143 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 4.143 * [backup-simplify]: Simplify (* PI l) into (* PI l) 4.143 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 4.143 * [taylor]: Taking taylor expansion of (* PI l) in l 4.143 * [taylor]: Taking taylor expansion of PI in l 4.143 * [backup-simplify]: Simplify PI into PI 4.143 * [taylor]: Taking taylor expansion of l in l 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 1 into 1 4.143 * [taylor]: Taking taylor expansion of (* PI l) in l 4.143 * [taylor]: Taking taylor expansion of PI in l 4.143 * [backup-simplify]: Simplify PI into PI 4.143 * [taylor]: Taking taylor expansion of l in l 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 1 into 1 4.144 * [backup-simplify]: Simplify (* PI 0) into 0 4.144 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 4.145 * [backup-simplify]: Simplify PI into PI 4.145 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 4.145 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.146 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.147 * [backup-simplify]: Simplify 0 into 0 4.148 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.148 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.149 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify (* PI l) into (* PI l) 4.151 * [backup-simplify]: Simplify (* PI (/ 1 l)) into (/ PI l) 4.151 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 4.151 * [taylor]: Taking taylor expansion of (/ PI l) in l 4.151 * [taylor]: Taking taylor expansion of PI in l 4.151 * [backup-simplify]: Simplify PI into PI 4.151 * [taylor]: Taking taylor expansion of l in l 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 1 into 1 4.151 * [backup-simplify]: Simplify (/ PI 1) into PI 4.151 * [taylor]: Taking taylor expansion of (/ PI l) in l 4.151 * [taylor]: Taking taylor expansion of PI in l 4.151 * [backup-simplify]: Simplify PI into PI 4.151 * [taylor]: Taking taylor expansion of l in l 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify (/ PI 1) into PI 4.152 * [backup-simplify]: Simplify PI into PI 4.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.153 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.154 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.156 * [backup-simplify]: Simplify 0 into 0 4.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.162 * [backup-simplify]: Simplify 0 into 0 4.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.164 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify (* PI (/ 1 (/ 1 l))) into (* PI l) 4.165 * [backup-simplify]: Simplify (* PI (/ 1 (- l))) into (* -1 (/ PI l)) 4.165 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 4.165 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 4.165 * [taylor]: Taking taylor expansion of -1 in l 4.165 * [backup-simplify]: Simplify -1 into -1 4.165 * [taylor]: Taking taylor expansion of (/ PI l) in l 4.165 * [taylor]: Taking taylor expansion of PI in l 4.165 * [backup-simplify]: Simplify PI into PI 4.165 * [taylor]: Taking taylor expansion of l in l 4.165 * [backup-simplify]: Simplify 0 into 0 4.165 * [backup-simplify]: Simplify 1 into 1 4.166 * [backup-simplify]: Simplify (/ PI 1) into PI 4.166 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 4.166 * [taylor]: Taking taylor expansion of -1 in l 4.166 * [backup-simplify]: Simplify -1 into -1 4.166 * [taylor]: Taking taylor expansion of (/ PI l) in l 4.166 * [taylor]: Taking taylor expansion of PI in l 4.166 * [backup-simplify]: Simplify PI into PI 4.166 * [taylor]: Taking taylor expansion of l in l 4.166 * [backup-simplify]: Simplify 0 into 0 4.166 * [backup-simplify]: Simplify 1 into 1 4.166 * [backup-simplify]: Simplify (/ PI 1) into PI 4.166 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 4.167 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 4.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.168 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 4.168 * [backup-simplify]: Simplify 0 into 0 4.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.169 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 4.169 * [backup-simplify]: Simplify 0 into 0 4.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.170 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.170 * [backup-simplify]: Simplify 0 into 0 4.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.172 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.172 * [backup-simplify]: Simplify 0 into 0 4.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.173 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 4.173 * [backup-simplify]: Simplify 0 into 0 4.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.175 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 4.175 * [backup-simplify]: Simplify 0 into 0 4.175 * [backup-simplify]: Simplify (* (* -1 PI) (/ 1 (/ 1 (- l)))) into (* PI l) 4.176 * * * [progress]: simplifying candidates 4.177 * [simplify]: Simplifying: (expm1 (tan (* PI l))) (log1p (tan (* PI l))) (sin (* PI l)) (cos (* PI l)) (log (tan (* PI l))) (exp (tan (* PI l))) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (cbrt (tan (* PI l))) (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (sqrt (tan (* PI l))) (sqrt (tan (* PI l))) (expm1 (* (tan (* PI l)) (/ 1 F))) (log1p (* (tan (* PI l)) (/ 1 F))) (* (tan (* PI l)) (/ 1 F)) (+ (log (tan (* PI l))) (- (log F))) (+ (log (tan (* PI l))) (- 0 (log F))) (+ (log (tan (* PI l))) (- (log 1) (log F))) (+ (log (tan (* PI l))) (log (/ 1 F))) (log (* (tan (* PI l)) (/ 1 F))) (exp (* (tan (* PI l)) (/ 1 F))) (* (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (/ (* (* 1 1) 1) (* (* F F) F))) (* (* (* (tan (* PI l)) (tan (* PI l))) (tan (* PI l))) (* (* (/ 1 F) (/ 1 F)) (/ 1 F))) (* (cbrt (* (tan (* PI l)) (/ 1 F))) (cbrt (* (tan (* PI l)) (/ 1 F)))) (cbrt (* (tan (* PI l)) (/ 1 F))) (* (* (* (tan (* PI l)) (/ 1 F)) (* (tan (* PI l)) (/ 1 F))) (* (tan (* PI l)) (/ 1 F))) (sqrt (* (tan (* PI l)) (/ 1 F))) (sqrt (* (tan (* PI l)) (/ 1 F))) (* (sin (* PI l)) 1) (* (cos (* PI l)) F) (* (sqrt (tan (* PI l))) (sqrt (/ 1 F))) (* (sqrt (tan (* PI l))) (sqrt (/ 1 F))) (* (sqrt (tan (* PI l))) (/ (sqrt 1) (sqrt F))) (* (sqrt (tan (* PI l))) (/ (sqrt 1) (sqrt F))) (* (sqrt (tan (* PI l))) (/ 1 (sqrt F))) (* (sqrt (tan (* PI l))) (/ 1 (sqrt F))) (* (tan (* PI l)) (* (cbrt (/ 1 F)) (cbrt (/ 1 F)))) (* (tan (* PI l)) (sqrt (/ 1 F))) (* (tan (* PI l)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt F) (cbrt F)))) (* (tan (* PI l)) (/ (* (cbrt 1) (cbrt 1)) (sqrt F))) (* (tan (* PI l)) (/ (* (cbrt 1) (cbrt 1)) 1)) (* (tan (* PI l)) (/ (sqrt 1) (* (cbrt F) (cbrt F)))) (* (tan (* PI l)) (/ (sqrt 1) (sqrt F))) (* (tan (* PI l)) (/ (sqrt 1) 1)) (* (tan (* PI l)) (/ 1 (* (cbrt F) (cbrt F)))) (* (tan (* PI l)) (/ 1 (sqrt F))) (* (tan (* PI l)) (/ 1 1)) (* (tan (* PI l)) 1) (* (tan (* PI l)) 1) (* (cbrt (tan (* PI l))) (/ 1 F)) (* (sqrt (tan (* PI l))) (/ 1 F)) (* (tan (* PI l)) (/ 1 F)) (* (tan (* PI l)) 1) (* (sin (* PI l)) (/ 1 F)) (expm1 (* PI l)) (log1p (* PI l)) (* PI l) (+ (log PI) (log l)) (log (* PI l)) (exp (* PI l)) (* (* (* PI PI) PI) (* (* l l) l)) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (* (* (* PI l) (* PI l)) (* PI l)) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) (* PI 1) (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (expm1 (* PI l)) (log1p (* PI l)) (* PI l) (+ (log PI) (log l)) (log (* PI l)) (exp (* PI l)) (* (* (* PI PI) PI) (* (* l l) l)) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (* (* (* PI l) (* PI l)) (* PI l)) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) (* PI 1) (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (+ (* 1/3 (/ (* (pow PI 3) (pow l 3)) F)) (+ (/ (* PI l) F) (* 2/15 (/ (* (pow PI 5) (pow l 5)) F)))) (/ (sin (* PI l)) (* F (cos (* PI l)))) (/ (sin (* PI l)) (* F (cos (* PI l)))) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) 4.178 * * [simplify]: iteration 0: 138 enodes 4.218 * * [simplify]: iteration 1: 331 enodes 4.352 * * [simplify]: iteration 2: 1347 enodes 5.260 * * [simplify]: iteration complete: 5000 enodes 5.260 * * [simplify]: Extracting #0: cost 49 inf + 0 5.263 * * [simplify]: Extracting #1: cost 682 inf + 1 5.271 * * [simplify]: Extracting #2: cost 1241 inf + 590 5.281 * * [simplify]: Extracting #3: cost 644 inf + 5995 5.291 * * [simplify]: Extracting #4: cost 144 inf + 10414 5.301 * * [simplify]: Extracting #5: cost 8 inf + 11359 5.311 * * [simplify]: Extracting #6: cost 0 inf + 11400 5.323 * [simplify]: Simplified to: (expm1 (tan (* PI l))) (log1p (tan (* PI l))) (sin (* PI l)) (cos (* PI l)) (log (tan (* PI l))) (exp (tan (* PI l))) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (cbrt (tan (* PI l))) (pow (tan (* PI l)) 3) (sqrt (tan (* PI l))) (sqrt (tan (* PI l))) (expm1 (/ (tan (* PI l)) F)) (log1p (/ (tan (* PI l)) F)) (/ (tan (* PI l)) F) (log (/ (tan (* PI l)) F)) (log (/ (tan (* PI l)) F)) (log (/ (tan (* PI l)) F)) (log (/ (tan (* PI l)) F)) (log (/ (tan (* PI l)) F)) (exp (/ (tan (* PI l)) F)) (pow (/ (tan (* PI l)) F) 3) (pow (/ (tan (* PI l)) F) 3) (* (cbrt (/ (tan (* PI l)) F)) (cbrt (/ (tan (* PI l)) F))) (cbrt (/ (tan (* PI l)) F)) (pow (/ (tan (* PI l)) F) 3) (sqrt (/ (tan (* PI l)) F)) (sqrt (/ (tan (* PI l)) F)) (sin (* PI l)) (* (cos (* PI l)) F) (* (sqrt (tan (* PI l))) (sqrt (/ 1 F))) (* (sqrt (tan (* PI l))) (sqrt (/ 1 F))) (/ (sqrt (tan (* PI l))) (sqrt F)) (/ (sqrt (tan (* PI l))) (sqrt F)) (/ (sqrt (tan (* PI l))) (sqrt F)) (/ (sqrt (tan (* PI l))) (sqrt F)) (* (cbrt (/ 1 F)) (* (cbrt (/ 1 F)) (tan (* PI l)))) (* (sqrt (/ 1 F)) (tan (* PI l))) (/ (/ (tan (* PI l)) (cbrt F)) (cbrt F)) (/ (tan (* PI l)) (sqrt F)) (tan (* PI l)) (/ (/ (tan (* PI l)) (cbrt F)) (cbrt F)) (/ (tan (* PI l)) (sqrt F)) (tan (* PI l)) (/ (/ (tan (* PI l)) (cbrt F)) (cbrt F)) (/ (tan (* PI l)) (sqrt F)) (tan (* PI l)) (tan (* PI l)) (tan (* PI l)) (/ (cbrt (tan (* PI l))) F) (/ (sqrt (tan (* PI l))) F) (/ (tan (* PI l)) F) (tan (* PI l)) (/ (sin (* PI l)) F) (expm1 (* PI l)) (log1p (* PI l)) (* PI l) (log (* PI l)) (log (* PI l)) (pow (exp PI) l) (pow (* PI l) 3) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (pow (* PI l) 3) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) PI (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (expm1 (* PI l)) (log1p (* PI l)) (* PI l) (log (* PI l)) (log (* PI l)) (pow (exp PI) l) (pow (* PI l) 3) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (pow (* PI l) 3) (sqrt (* PI l)) (sqrt (* PI l)) (* (sqrt PI) (sqrt l)) (* (sqrt PI) (sqrt l)) (* PI (* (cbrt l) (cbrt l))) (* PI (sqrt l)) PI (* (cbrt PI) l) (* (sqrt PI) l) (* PI l) (fma (pow l 5) (* (pow PI 5) 2/15) (fma 1/3 (pow (* PI l) 3) (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (fma (/ PI F) l (fma 2/15 (/ (pow l 5) (/ F (pow PI 5))) (/ (pow (* PI l) 3) (/ F 1/3)))) (/ (/ (sin (* PI l)) (cos (* PI l))) F) (/ (/ (sin (* PI l)) (cos (* PI l))) F) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) (* PI l) 5.324 * * * [progress]: adding candidates to table 5.865 * * [progress]: iteration 3 / 4 5.865 * * * [progress]: picking best candidate 5.997 * * * * [pick]: Picked # 5.997 * * * [progress]: localizing error 6.042 * * * [progress]: generating rewritten candidates 6.042 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 6.078 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 1) 6.080 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 6.082 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 6.106 * * * [progress]: generating series expansions 6.106 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 6.107 * [backup-simplify]: Simplify (tan (* (sqrt PI) (* (sqrt PI) l))) into (tan (* PI l)) 6.107 * [approximate]: Taking taylor expansion of (tan (* PI l)) in (l) around 0 6.107 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 6.107 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 6.107 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 6.107 * [taylor]: Taking taylor expansion of (* PI l) in l 6.107 * [taylor]: Taking taylor expansion of PI in l 6.107 * [backup-simplify]: Simplify PI into PI 6.107 * [taylor]: Taking taylor expansion of l in l 6.107 * [backup-simplify]: Simplify 0 into 0 6.107 * [backup-simplify]: Simplify 1 into 1 6.107 * [backup-simplify]: Simplify (* PI 0) into 0 6.108 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 6.109 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 6.109 * [taylor]: Taking taylor expansion of (* PI l) in l 6.109 * [taylor]: Taking taylor expansion of PI in l 6.109 * [backup-simplify]: Simplify PI into PI 6.109 * [taylor]: Taking taylor expansion of l in l 6.109 * [backup-simplify]: Simplify 0 into 0 6.109 * [backup-simplify]: Simplify 1 into 1 6.109 * [backup-simplify]: Simplify (* PI 0) into 0 6.110 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 6.115 * [backup-simplify]: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI 6.115 * [backup-simplify]: Simplify (/ PI 1) into PI 6.115 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 6.115 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 6.115 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 6.115 * [taylor]: Taking taylor expansion of (* PI l) in l 6.115 * [taylor]: Taking taylor expansion of PI in l 6.115 * [backup-simplify]: Simplify PI into PI 6.115 * [taylor]: Taking taylor expansion of l in l 6.115 * [backup-simplify]: Simplify 0 into 0 6.115 * [backup-simplify]: Simplify 1 into 1 6.116 * [backup-simplify]: Simplify (* PI 0) into 0 6.117 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 6.117 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 6.117 * [taylor]: Taking taylor expansion of (* PI l) in l 6.117 * [taylor]: Taking taylor expansion of PI in l 6.117 * [backup-simplify]: Simplify PI into PI 6.117 * [taylor]: Taking taylor expansion of l in l 6.117 * [backup-simplify]: Simplify 0 into 0 6.117 * [backup-simplify]: Simplify 1 into 1 6.117 * [backup-simplify]: Simplify (* PI 0) into 0 6.119 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 6.121 * [backup-simplify]: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI 6.122 * [backup-simplify]: Simplify (/ PI 1) into PI 6.122 * [backup-simplify]: Simplify PI into PI 6.123 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 6.124 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 6.124 * [backup-simplify]: Simplify (+ 0) into 0 6.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.125 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.131 * [backup-simplify]: Simplify (+ (* -1 (/ (pow PI 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/6 (pow PI 3))) 6.134 * [backup-simplify]: Simplify (+ (* -1 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) 6.141 * [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)) 6.142 * [backup-simplify]: Simplify (* 1/3 (pow PI 3)) into (* 1/3 (pow PI 3)) 6.143 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.144 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 6.144 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 6.145 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 6.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (pow PI 2))) 1)) (* (* 1/3 (pow PI 3)) (/ 0 1)))) into 0 6.147 * [backup-simplify]: Simplify 0 into 0 6.147 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.153 * [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)) 6.154 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.161 * [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)) 6.182 * [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)) 6.184 * [backup-simplify]: Simplify (* 2/15 (pow PI 5)) into (* 2/15 (pow PI 5)) 6.186 * [backup-simplify]: Simplify (+ (* (* 2/15 (pow PI 5)) (pow l 5)) (+ (* (* 1/3 (pow PI 3)) (pow l 3)) (* PI l))) into (+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l))) 6.187 * [backup-simplify]: Simplify (tan (* (sqrt PI) (* (sqrt PI) (/ 1 l)))) into (tan (/ PI l)) 6.188 * [approximate]: Taking taylor expansion of (tan (/ PI l)) in (l) around 0 6.188 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 6.188 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 6.188 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 6.188 * [taylor]: Taking taylor expansion of (/ PI l) in l 6.188 * [taylor]: Taking taylor expansion of PI in l 6.188 * [backup-simplify]: Simplify PI into PI 6.188 * [taylor]: Taking taylor expansion of l in l 6.188 * [backup-simplify]: Simplify 0 into 0 6.188 * [backup-simplify]: Simplify 1 into 1 6.188 * [backup-simplify]: Simplify (/ PI 1) into PI 6.188 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 6.188 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 6.188 * [taylor]: Taking taylor expansion of (/ PI l) in l 6.188 * [taylor]: Taking taylor expansion of PI in l 6.189 * [backup-simplify]: Simplify PI into PI 6.189 * [taylor]: Taking taylor expansion of l in l 6.189 * [backup-simplify]: Simplify 0 into 0 6.189 * [backup-simplify]: Simplify 1 into 1 6.189 * [backup-simplify]: Simplify (/ PI 1) into PI 6.189 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 6.189 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 6.189 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 6.189 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 6.190 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 6.190 * [taylor]: Taking taylor expansion of (/ PI l) in l 6.190 * [taylor]: Taking taylor expansion of PI in l 6.190 * [backup-simplify]: Simplify PI into PI 6.190 * [taylor]: Taking taylor expansion of l in l 6.190 * [backup-simplify]: Simplify 0 into 0 6.190 * [backup-simplify]: Simplify 1 into 1 6.190 * [backup-simplify]: Simplify (/ PI 1) into PI 6.190 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 6.190 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 6.190 * [taylor]: Taking taylor expansion of (/ PI l) in l 6.190 * [taylor]: Taking taylor expansion of PI in l 6.190 * [backup-simplify]: Simplify PI into PI 6.190 * [taylor]: Taking taylor expansion of l in l 6.190 * [backup-simplify]: Simplify 0 into 0 6.190 * [backup-simplify]: Simplify 1 into 1 6.191 * [backup-simplify]: Simplify (/ PI 1) into PI 6.191 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 6.191 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 6.191 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 6.192 * [backup-simplify]: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))))) into 0 6.192 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) into 0 6.192 * [backup-simplify]: Simplify 0 into 0 6.193 * [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 6.193 * [backup-simplify]: Simplify 0 into 0 6.194 * [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 6.194 * [backup-simplify]: Simplify 0 into 0 6.195 * [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 6.195 * [backup-simplify]: Simplify 0 into 0 6.196 * [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 6.196 * [backup-simplify]: Simplify 0 into 0 6.196 * [backup-simplify]: Simplify (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) 6.197 * [backup-simplify]: Simplify (tan (* (sqrt PI) (* (sqrt PI) (/ 1 (- l))))) into (tan (* -1 (/ PI l))) 6.197 * [approximate]: Taking taylor expansion of (tan (* -1 (/ PI l))) in (l) around 0 6.197 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 6.197 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 6.197 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 6.197 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 6.197 * [taylor]: Taking taylor expansion of -1 in l 6.197 * [backup-simplify]: Simplify -1 into -1 6.197 * [taylor]: Taking taylor expansion of (/ PI l) in l 6.197 * [taylor]: Taking taylor expansion of PI in l 6.197 * [backup-simplify]: Simplify PI into PI 6.197 * [taylor]: Taking taylor expansion of l in l 6.197 * [backup-simplify]: Simplify 0 into 0 6.197 * [backup-simplify]: Simplify 1 into 1 6.198 * [backup-simplify]: Simplify (/ PI 1) into PI 6.199 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 6.199 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 6.199 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 6.199 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 6.199 * [taylor]: Taking taylor expansion of -1 in l 6.199 * [backup-simplify]: Simplify -1 into -1 6.199 * [taylor]: Taking taylor expansion of (/ PI l) in l 6.199 * [taylor]: Taking taylor expansion of PI in l 6.199 * [backup-simplify]: Simplify PI into PI 6.199 * [taylor]: Taking taylor expansion of l in l 6.199 * [backup-simplify]: Simplify 0 into 0 6.199 * [backup-simplify]: Simplify 1 into 1 6.200 * [backup-simplify]: Simplify (/ PI 1) into PI 6.200 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 6.200 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 6.201 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 6.201 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 6.201 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 6.201 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 6.201 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 6.201 * [taylor]: Taking taylor expansion of -1 in l 6.201 * [backup-simplify]: Simplify -1 into -1 6.201 * [taylor]: Taking taylor expansion of (/ PI l) in l 6.201 * [taylor]: Taking taylor expansion of PI in l 6.201 * [backup-simplify]: Simplify PI into PI 6.201 * [taylor]: Taking taylor expansion of l in l 6.201 * [backup-simplify]: Simplify 0 into 0 6.201 * [backup-simplify]: Simplify 1 into 1 6.201 * [backup-simplify]: Simplify (/ PI 1) into PI 6.202 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 6.202 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 6.202 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 6.202 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 6.202 * [taylor]: Taking taylor expansion of -1 in l 6.202 * [backup-simplify]: Simplify -1 into -1 6.202 * [taylor]: Taking taylor expansion of (/ PI l) in l 6.202 * [taylor]: Taking taylor expansion of PI in l 6.202 * [backup-simplify]: Simplify PI into PI 6.202 * [taylor]: Taking taylor expansion of l in l 6.202 * [backup-simplify]: Simplify 0 into 0 6.202 * [backup-simplify]: Simplify 1 into 1 6.203 * [backup-simplify]: Simplify (/ PI 1) into PI 6.203 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 6.204 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 6.204 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 6.204 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 6.205 * [backup-simplify]: Simplify (- (/ 0 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))))) into 0 6.205 * [backup-simplify]: Simplify 0 into 0 6.205 * [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 6.205 * [backup-simplify]: Simplify 0 into 0 6.206 * [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 6.206 * [backup-simplify]: Simplify 0 into 0 6.207 * [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 6.207 * [backup-simplify]: Simplify 0 into 0 6.208 * [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 6.208 * [backup-simplify]: Simplify 0 into 0 6.209 * [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 6.209 * [backup-simplify]: Simplify 0 into 0 6.209 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) 6.209 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 1) 6.209 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 6.210 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 6.211 * [backup-simplify]: Simplify (* (sqrt PI) (* (sqrt PI) l)) into (* PI l) 6.211 * [approximate]: Taking taylor expansion of (* PI l) in (l) around 0 6.211 * [taylor]: Taking taylor expansion of (* PI l) in l 6.211 * [taylor]: Taking taylor expansion of PI in l 6.211 * [backup-simplify]: Simplify PI into PI 6.211 * [taylor]: Taking taylor expansion of l in l 6.211 * [backup-simplify]: Simplify 0 into 0 6.211 * [backup-simplify]: Simplify 1 into 1 6.211 * [taylor]: Taking taylor expansion of (* PI l) in l 6.211 * [taylor]: Taking taylor expansion of PI in l 6.211 * [backup-simplify]: Simplify PI into PI 6.211 * [taylor]: Taking taylor expansion of l in l 6.211 * [backup-simplify]: Simplify 0 into 0 6.211 * [backup-simplify]: Simplify 1 into 1 6.211 * [backup-simplify]: Simplify (* PI 0) into 0 6.211 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 6.213 * [backup-simplify]: Simplify PI into PI 6.214 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 6.214 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.214 * [backup-simplify]: Simplify 0 into 0 6.215 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.215 * [backup-simplify]: Simplify 0 into 0 6.216 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.216 * [backup-simplify]: Simplify 0 into 0 6.217 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.217 * [backup-simplify]: Simplify 0 into 0 6.218 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.218 * [backup-simplify]: Simplify 0 into 0 6.218 * [backup-simplify]: Simplify (* PI l) into (* PI l) 6.219 * [backup-simplify]: Simplify (* (sqrt PI) (* (sqrt PI) (/ 1 l))) into (/ PI l) 6.219 * [approximate]: Taking taylor expansion of (/ PI l) in (l) around 0 6.219 * [taylor]: Taking taylor expansion of (/ PI l) in l 6.219 * [taylor]: Taking taylor expansion of PI in l 6.219 * [backup-simplify]: Simplify PI into PI 6.219 * [taylor]: Taking taylor expansion of l in l 6.219 * [backup-simplify]: Simplify 0 into 0 6.219 * [backup-simplify]: Simplify 1 into 1 6.219 * [backup-simplify]: Simplify (/ PI 1) into PI 6.219 * [taylor]: Taking taylor expansion of (/ PI l) in l 6.219 * [taylor]: Taking taylor expansion of PI in l 6.219 * [backup-simplify]: Simplify PI into PI 6.219 * [taylor]: Taking taylor expansion of l in l 6.219 * [backup-simplify]: Simplify 0 into 0 6.219 * [backup-simplify]: Simplify 1 into 1 6.220 * [backup-simplify]: Simplify (/ PI 1) into PI 6.220 * [backup-simplify]: Simplify PI into PI 6.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.220 * [backup-simplify]: Simplify 0 into 0 6.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.221 * [backup-simplify]: Simplify 0 into 0 6.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.222 * [backup-simplify]: Simplify 0 into 0 6.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.222 * [backup-simplify]: Simplify 0 into 0 6.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.223 * [backup-simplify]: Simplify 0 into 0 6.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.223 * [backup-simplify]: Simplify 0 into 0 6.224 * [backup-simplify]: Simplify (* PI (/ 1 (/ 1 l))) into (* PI l) 6.224 * [backup-simplify]: Simplify (* (sqrt PI) (* (sqrt PI) (/ 1 (- l)))) into (* -1 (/ PI l)) 6.224 * [approximate]: Taking taylor expansion of (* -1 (/ PI l)) in (l) around 0 6.224 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 6.224 * [taylor]: Taking taylor expansion of -1 in l 6.224 * [backup-simplify]: Simplify -1 into -1 6.224 * [taylor]: Taking taylor expansion of (/ PI l) in l 6.224 * [taylor]: Taking taylor expansion of PI in l 6.224 * [backup-simplify]: Simplify PI into PI 6.224 * [taylor]: Taking taylor expansion of l in l 6.224 * [backup-simplify]: Simplify 0 into 0 6.224 * [backup-simplify]: Simplify 1 into 1 6.225 * [backup-simplify]: Simplify (/ PI 1) into PI 6.225 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 6.225 * [taylor]: Taking taylor expansion of -1 in l 6.225 * [backup-simplify]: Simplify -1 into -1 6.225 * [taylor]: Taking taylor expansion of (/ PI l) in l 6.225 * [taylor]: Taking taylor expansion of PI in l 6.225 * [backup-simplify]: Simplify PI into PI 6.225 * [taylor]: Taking taylor expansion of l in l 6.225 * [backup-simplify]: Simplify 0 into 0 6.225 * [backup-simplify]: Simplify 1 into 1 6.225 * [backup-simplify]: Simplify (/ PI 1) into PI 6.225 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 6.226 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 6.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.227 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 6.227 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.228 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 6.228 * [backup-simplify]: Simplify 0 into 0 6.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.230 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.230 * [backup-simplify]: Simplify 0 into 0 6.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.231 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.231 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.237 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 6.237 * [backup-simplify]: Simplify 0 into 0 6.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.239 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 6.239 * [backup-simplify]: Simplify 0 into 0 6.239 * [backup-simplify]: Simplify (* (* -1 PI) (/ 1 (/ 1 (- l)))) into (* PI l) 6.239 * * * [progress]: simplifying candidates 6.240 * [simplify]: Simplifying: (expm1 (tan (* (sqrt PI) (* (sqrt PI) l)))) (log1p (tan (* (sqrt PI) (* (sqrt PI) l)))) (sin (* (sqrt PI) (* (sqrt PI) l))) (cos (* (sqrt PI) (* (sqrt PI) l))) (log (tan (* (sqrt PI) (* (sqrt PI) l)))) (exp (tan (* (sqrt PI) (* (sqrt PI) l)))) (* (cbrt (tan (* (sqrt PI) (* (sqrt PI) l)))) (cbrt (tan (* (sqrt PI) (* (sqrt PI) l))))) (cbrt (tan (* (sqrt PI) (* (sqrt PI) l)))) (* (* (tan (* (sqrt PI) (* (sqrt PI) l))) (tan (* (sqrt PI) (* (sqrt PI) l)))) (tan (* (sqrt PI) (* (sqrt PI) l)))) (sqrt (tan (* (sqrt PI) (* (sqrt PI) l)))) (sqrt (tan (* (sqrt PI) (* (sqrt PI) l)))) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (* (sqrt PI) (* (sqrt PI) l))) (log1p (* (sqrt PI) (* (sqrt PI) l))) (* (sqrt PI) (* (sqrt PI) l)) (* (sqrt PI) (* (sqrt PI) l)) (+ (log (sqrt PI)) (+ (log (sqrt PI)) (log l))) (+ (log (sqrt PI)) (log (* (sqrt PI) l))) (log (* (sqrt PI) (* (sqrt PI) l))) (exp (* (sqrt PI) (* (sqrt PI) l))) (* (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* l l) l))) (* (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (* (* (* (sqrt PI) l) (* (sqrt PI) l)) (* (sqrt PI) l))) (* (cbrt (* (sqrt PI) (* (sqrt PI) l))) (cbrt (* (sqrt PI) (* (sqrt PI) l)))) (cbrt (* (sqrt PI) (* (sqrt PI) l))) (* (* (* (sqrt PI) (* (sqrt PI) l)) (* (sqrt PI) (* (sqrt PI) l))) (* (sqrt PI) (* (sqrt PI) l))) (sqrt (* (sqrt PI) (* (sqrt PI) l))) (sqrt (* (sqrt PI) (* (sqrt PI) l))) (* (sqrt PI) (sqrt PI)) (* (cbrt (sqrt PI)) (* (sqrt PI) l)) (* (sqrt (cbrt PI)) (* (sqrt PI) l)) (* (sqrt (sqrt PI)) (* (sqrt PI) l)) (* (sqrt PI) (* (sqrt PI) l)) (* (sqrt (sqrt PI)) (* (sqrt PI) l)) (* (sqrt PI) (* (sqrt PI) l)) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (* (sqrt PI) l) (* (sqrt PI) l) (* PI l) (* PI l) (* PI l) 6.241 * * [simplify]: iteration 0: 76 enodes 6.265 * * [simplify]: iteration 1: 162 enodes 6.356 * * [simplify]: iteration 2: 537 enodes 6.965 * * [simplify]: iteration 3: 2203 enodes 7.898 * * [simplify]: iteration complete: 5001 enodes 7.898 * * [simplify]: Extracting #0: cost 39 inf + 0 7.899 * * [simplify]: Extracting #1: cost 197 inf + 12 7.905 * * [simplify]: Extracting #2: cost 1017 inf + 391 7.914 * * [simplify]: Extracting #3: cost 782 inf + 3405 7.924 * * [simplify]: Extracting #4: cost 410 inf + 6412 7.933 * * [simplify]: Extracting #5: cost 54 inf + 9187 7.947 * * [simplify]: Extracting #6: cost 0 inf + 9549 7.956 * [simplify]: Simplified to: (expm1 (tan (* PI l))) (log1p (tan (* PI l))) (sin (* PI l)) (cos (* PI l)) (log (tan (* PI l))) (exp (tan (* PI l))) (* (cbrt (tan (* PI l))) (cbrt (tan (* PI l)))) (cbrt (tan (* PI l))) (pow (tan (* PI l)) 3) (sqrt (tan (* PI l))) (sqrt (tan (* PI l))) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* PI (sqrt PI)) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) 1 (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* PI (sqrt PI)) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) 1 (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (* PI l)) (log1p (* PI l)) (* PI l) (* PI l) (log (* PI l)) (log (* PI l)) (log (* PI l)) (exp (* PI l)) (pow (* PI l) 3) (pow (* PI l) 3) (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l)) (pow (* PI l) 3) (sqrt (* PI l)) (sqrt (* PI l)) PI (* (cbrt (sqrt PI)) (* l (sqrt PI))) (* (sqrt PI) (* l (sqrt (cbrt PI)))) (* (* l (sqrt PI)) (sqrt (sqrt PI))) (* PI l) (* (* l (sqrt PI)) (sqrt (sqrt PI))) (* PI l) (fma (pow PI 5) (* (pow l 5) 2/15) (fma 1/3 (pow (* PI l) 3) (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (* l (sqrt PI)) (* l (sqrt PI)) (* PI l) (* PI l) (* PI l) 7.957 * * * [progress]: adding candidates to table 8.427 * * [progress]: iteration 4 / 4 8.427 * * * [progress]: picking best candidate 8.545 * * * * [pick]: Picked # 8.545 * * * [progress]: localizing error 8.608 * * * [progress]: generating rewritten candidates 8.608 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 8.672 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 2 1) 8.674 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2 1 2) 8.676 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 8.680 * * * [progress]: generating series expansions 8.680 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 8.682 * [backup-simplify]: Simplify (tan (* (sqrt (sqrt PI)) (* (* l (sqrt PI)) (sqrt (sqrt PI))))) into (tan (* PI l)) 8.682 * [approximate]: Taking taylor expansion of (tan (* PI l)) in (l) around 0 8.682 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 8.682 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 8.682 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 8.682 * [taylor]: Taking taylor expansion of (* PI l) in l 8.682 * [taylor]: Taking taylor expansion of PI in l 8.682 * [backup-simplify]: Simplify PI into PI 8.682 * [taylor]: Taking taylor expansion of l in l 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify 1 into 1 8.683 * [backup-simplify]: Simplify (* PI 0) into 0 8.684 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 8.684 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 8.684 * [taylor]: Taking taylor expansion of (* PI l) in l 8.684 * [taylor]: Taking taylor expansion of PI in l 8.684 * [backup-simplify]: Simplify PI into PI 8.684 * [taylor]: Taking taylor expansion of l in l 8.684 * [backup-simplify]: Simplify 0 into 0 8.684 * [backup-simplify]: Simplify 1 into 1 8.684 * [backup-simplify]: Simplify (* PI 0) into 0 8.685 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 8.687 * [backup-simplify]: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI 8.687 * [backup-simplify]: Simplify (/ PI 1) into PI 8.687 * [taylor]: Taking taylor expansion of (tan (* PI l)) in l 8.687 * [taylor]: Rewrote expression to (/ (sin (* PI l)) (cos (* PI l))) 8.687 * [taylor]: Taking taylor expansion of (sin (* PI l)) in l 8.687 * [taylor]: Taking taylor expansion of (* PI l) in l 8.687 * [taylor]: Taking taylor expansion of PI in l 8.687 * [backup-simplify]: Simplify PI into PI 8.687 * [taylor]: Taking taylor expansion of l in l 8.687 * [backup-simplify]: Simplify 0 into 0 8.687 * [backup-simplify]: Simplify 1 into 1 8.687 * [backup-simplify]: Simplify (* PI 0) into 0 8.688 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 8.688 * [taylor]: Taking taylor expansion of (cos (* PI l)) in l 8.688 * [taylor]: Taking taylor expansion of (* PI l) in l 8.688 * [taylor]: Taking taylor expansion of PI in l 8.688 * [backup-simplify]: Simplify PI into PI 8.688 * [taylor]: Taking taylor expansion of l in l 8.688 * [backup-simplify]: Simplify 0 into 0 8.688 * [backup-simplify]: Simplify 1 into 1 8.689 * [backup-simplify]: Simplify (* PI 0) into 0 8.690 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 8.691 * [backup-simplify]: Simplify (+ (* 1 (/ (pow PI 1) 1))) into PI 8.691 * [backup-simplify]: Simplify (/ PI 1) into PI 8.692 * [backup-simplify]: Simplify PI into PI 8.692 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 8.693 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 8.693 * [backup-simplify]: Simplify (+ 0) into 0 8.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.693 * [backup-simplify]: Simplify 0 into 0 8.694 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.697 * [backup-simplify]: Simplify (+ (* -1 (/ (pow PI 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- (* 1/6 (pow PI 3))) 8.698 * [backup-simplify]: Simplify (+ (* -1 (/ (pow PI 2) 2)) 0) into (- (* 1/2 (pow PI 2))) 8.705 * [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)) 8.706 * [backup-simplify]: Simplify (* 1/3 (pow PI 3)) into (* 1/3 (pow PI 3)) 8.707 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.708 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow PI 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 8.709 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 8.709 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow PI 1) 1) (/ (pow 0 1) 1)) 0) into 0 8.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ (- (* 1/2 (pow PI 2))) 1)) (* (* 1/3 (pow PI 3)) (/ 0 1)))) into 0 8.711 * [backup-simplify]: Simplify 0 into 0 8.712 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.720 * [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)) 8.721 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.728 * [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)) 8.750 * [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)) 8.751 * [backup-simplify]: Simplify (* 2/15 (pow PI 5)) into (* 2/15 (pow PI 5)) 8.754 * [backup-simplify]: Simplify (+ (* (* 2/15 (pow PI 5)) (pow l 5)) (+ (* (* 1/3 (pow PI 3)) (pow l 3)) (* PI l))) into (+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l))) 8.756 * [backup-simplify]: Simplify (tan (* (sqrt (sqrt PI)) (* (* (/ 1 l) (sqrt PI)) (sqrt (sqrt PI))))) into (tan (/ PI l)) 8.756 * [approximate]: Taking taylor expansion of (tan (/ PI l)) in (l) around 0 8.756 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 8.756 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 8.757 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 8.757 * [taylor]: Taking taylor expansion of (/ PI l) in l 8.757 * [taylor]: Taking taylor expansion of PI in l 8.757 * [backup-simplify]: Simplify PI into PI 8.757 * [taylor]: Taking taylor expansion of l in l 8.757 * [backup-simplify]: Simplify 0 into 0 8.757 * [backup-simplify]: Simplify 1 into 1 8.757 * [backup-simplify]: Simplify (/ PI 1) into PI 8.757 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 8.757 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 8.757 * [taylor]: Taking taylor expansion of (/ PI l) in l 8.757 * [taylor]: Taking taylor expansion of PI in l 8.757 * [backup-simplify]: Simplify PI into PI 8.757 * [taylor]: Taking taylor expansion of l in l 8.757 * [backup-simplify]: Simplify 0 into 0 8.757 * [backup-simplify]: Simplify 1 into 1 8.758 * [backup-simplify]: Simplify (/ PI 1) into PI 8.758 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 8.758 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 8.758 * [taylor]: Taking taylor expansion of (tan (/ PI l)) in l 8.758 * [taylor]: Rewrote expression to (/ (sin (/ PI l)) (cos (/ PI l))) 8.758 * [taylor]: Taking taylor expansion of (sin (/ PI l)) in l 8.758 * [taylor]: Taking taylor expansion of (/ PI l) in l 8.758 * [taylor]: Taking taylor expansion of PI in l 8.758 * [backup-simplify]: Simplify PI into PI 8.758 * [taylor]: Taking taylor expansion of l in l 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify 1 into 1 8.759 * [backup-simplify]: Simplify (/ PI 1) into PI 8.759 * [backup-simplify]: Simplify (sin (/ PI l)) into (sin (/ PI l)) 8.759 * [taylor]: Taking taylor expansion of (cos (/ PI l)) in l 8.759 * [taylor]: Taking taylor expansion of (/ PI l) in l 8.759 * [taylor]: Taking taylor expansion of PI in l 8.759 * [backup-simplify]: Simplify PI into PI 8.759 * [taylor]: Taking taylor expansion of l in l 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 1 into 1 8.760 * [backup-simplify]: Simplify (/ PI 1) into PI 8.760 * [backup-simplify]: Simplify (cos (/ PI l)) into (cos (/ PI l)) 8.760 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 8.760 * [backup-simplify]: Simplify (/ (sin (/ PI l)) (cos (/ PI l))) into (/ (sin (/ PI l)) (cos (/ PI l))) 8.761 * [backup-simplify]: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))))) into 0 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify (- (/ 0 (cos (/ PI l))) (+ (* (/ (sin (/ PI l)) (cos (/ PI l))) (/ 0 (cos (/ PI l)))) (* 0 (/ 0 (cos (/ PI l)))))) into 0 8.761 * [backup-simplify]: Simplify 0 into 0 8.762 * [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 8.762 * [backup-simplify]: Simplify 0 into 0 8.762 * [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 8.762 * [backup-simplify]: Simplify 0 into 0 8.763 * [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 8.763 * [backup-simplify]: Simplify 0 into 0 8.764 * [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 8.764 * [backup-simplify]: Simplify 0 into 0 8.764 * [backup-simplify]: Simplify (/ (sin (/ PI (/ 1 l))) (cos (/ PI (/ 1 l)))) into (/ (sin (* PI l)) (cos (* PI l))) 8.767 * [backup-simplify]: Simplify (tan (* (sqrt (sqrt PI)) (* (* (/ 1 (- l)) (sqrt PI)) (sqrt (sqrt PI))))) into (tan (* -1 (/ PI l))) 8.767 * [approximate]: Taking taylor expansion of (tan (* -1 (/ PI l))) in (l) around 0 8.767 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 8.767 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 8.767 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 8.767 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 8.767 * [taylor]: Taking taylor expansion of -1 in l 8.767 * [backup-simplify]: Simplify -1 into -1 8.767 * [taylor]: Taking taylor expansion of (/ PI l) in l 8.767 * [taylor]: Taking taylor expansion of PI in l 8.767 * [backup-simplify]: Simplify PI into PI 8.767 * [taylor]: Taking taylor expansion of l in l 8.767 * [backup-simplify]: Simplify 0 into 0 8.767 * [backup-simplify]: Simplify 1 into 1 8.768 * [backup-simplify]: Simplify (/ PI 1) into PI 8.768 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 8.768 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 8.768 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 8.769 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 8.769 * [taylor]: Taking taylor expansion of -1 in l 8.769 * [backup-simplify]: Simplify -1 into -1 8.769 * [taylor]: Taking taylor expansion of (/ PI l) in l 8.769 * [taylor]: Taking taylor expansion of PI in l 8.769 * [backup-simplify]: Simplify PI into PI 8.769 * [taylor]: Taking taylor expansion of l in l 8.769 * [backup-simplify]: Simplify 0 into 0 8.769 * [backup-simplify]: Simplify 1 into 1 8.769 * [backup-simplify]: Simplify (/ PI 1) into PI 8.770 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 8.770 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 8.770 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 8.770 * [taylor]: Taking taylor expansion of (tan (* -1 (/ PI l))) in l 8.770 * [taylor]: Rewrote expression to (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 8.770 * [taylor]: Taking taylor expansion of (sin (* -1 (/ PI l))) in l 8.770 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 8.770 * [taylor]: Taking taylor expansion of -1 in l 8.770 * [backup-simplify]: Simplify -1 into -1 8.770 * [taylor]: Taking taylor expansion of (/ PI l) in l 8.770 * [taylor]: Taking taylor expansion of PI in l 8.770 * [backup-simplify]: Simplify PI into PI 8.770 * [taylor]: Taking taylor expansion of l in l 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify 1 into 1 8.771 * [backup-simplify]: Simplify (/ PI 1) into PI 8.772 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 8.772 * [backup-simplify]: Simplify (sin (* -1 (/ PI l))) into (sin (* -1 (/ PI l))) 8.772 * [taylor]: Taking taylor expansion of (cos (* -1 (/ PI l))) in l 8.772 * [taylor]: Taking taylor expansion of (* -1 (/ PI l)) in l 8.772 * [taylor]: Taking taylor expansion of -1 in l 8.772 * [backup-simplify]: Simplify -1 into -1 8.772 * [taylor]: Taking taylor expansion of (/ PI l) in l 8.772 * [taylor]: Taking taylor expansion of PI in l 8.772 * [backup-simplify]: Simplify PI into PI 8.772 * [taylor]: Taking taylor expansion of l in l 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 1 into 1 8.772 * [backup-simplify]: Simplify (/ PI 1) into PI 8.773 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 8.773 * [backup-simplify]: Simplify (cos (* -1 (/ PI l))) into (cos (* -1 (/ PI l))) 8.773 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 8.773 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) into (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) 8.774 * [backup-simplify]: Simplify (- (/ 0 (cos (* -1 (/ PI l)))) (+ (* (/ (sin (* -1 (/ PI l))) (cos (* -1 (/ PI l)))) (/ 0 (cos (* -1 (/ PI l))))))) into 0 8.774 * [backup-simplify]: Simplify 0 into 0 8.775 * [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 8.775 * [backup-simplify]: Simplify 0 into 0 8.775 * [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 8.775 * [backup-simplify]: Simplify 0 into 0 8.776 * [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 8.776 * [backup-simplify]: Simplify 0 into 0 8.777 * [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 8.777 * [backup-simplify]: Simplify 0 into 0 8.778 * [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 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify (/ (sin (* -1 (/ PI (/ 1 (- l))))) (cos (* -1 (/ PI (/ 1 (- l)))))) into (/ (sin (* PI l)) (cos (* PI l))) 8.779 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 2 1) 8.779 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2 1 2) 8.779 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 8.779 * * * [progress]: simplifying candidates 8.780 * [simplify]: Simplifying: (expm1 (tan (* (sqrt (sqrt PI)) (* (* l (sqrt PI)) (sqrt (sqrt PI)))))) (log1p (tan (* (sqrt (sqrt PI)) (* (* l (sqrt PI)) (sqrt (sqrt PI)))))) (sin (* (sqrt (sqrt PI)) (* (* l (sqrt PI)) (sqrt (sqrt PI))))) (cos (* (sqrt (sqrt PI)) (* (* l (sqrt PI)) (sqrt (sqrt PI))))) (log (tan (* (sqrt (sqrt PI)) (* (* l (sqrt PI)) (sqrt (sqrt PI)))))) (exp (tan (* (sqrt (sqrt PI)) (* (* l (sqrt PI)) (sqrt (sqrt PI)))))) (* (cbrt (tan (* (sqrt (sqrt PI)) (* (* l (sqrt PI)) (sqrt (sqrt PI)))))) (cbrt (tan (* (sqrt (sqrt PI)) (* (* l (sqrt PI)) (sqrt (sqrt PI))))))) (cbrt (tan (* (sqrt (sqrt PI)) (* (* l (sqrt PI)) (sqrt (sqrt PI)))))) (* (* (tan (* (sqrt (sqrt PI)) (* (* l (sqrt PI)) (sqrt (sqrt PI))))) (tan (* (sqrt (sqrt PI)) (* (* l (sqrt PI)) (sqrt (sqrt PI)))))) (tan (* (sqrt (sqrt PI)) (* (* l (sqrt PI)) (sqrt (sqrt PI)))))) (sqrt (tan (* (sqrt (sqrt PI)) (* (* l (sqrt PI)) (sqrt (sqrt PI)))))) (sqrt (tan (* (sqrt (sqrt PI)) (* (* l (sqrt PI)) (sqrt (sqrt PI)))))) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (+ (* 2/15 (* (pow PI 5) (pow l 5))) (+ (* 1/3 (* (pow PI 3) (pow l 3))) (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (/ (sin (* PI l)) (cos (* PI l))) (fma (* (tan (* (sqrt (sqrt PI)) (* (* l (sqrt PI)) (sqrt (sqrt PI))))) (/ 1 F)) (/ (- 1.0) F) (* PI l)) (fma (* (tan (* (sqrt (sqrt PI)) (* (* l (sqrt PI)) (sqrt (sqrt PI))))) (/ 1 F)) (/ (- 1.0) F) (* PI l)) (fma (* (tan (* (sqrt (sqrt PI)) (* (* l (sqrt PI)) (sqrt (sqrt PI))))) (/ 1 F)) (/ (- 1.0) F) (* PI l)) 8.781 * * [simplify]: iteration 0: 60 enodes 8.809 * * [simplify]: iteration 1: 113 enodes 8.842 * * [simplify]: iteration 2: 279 enodes 8.984 * * [simplify]: iteration 3: 1087 enodes 9.627 * * [simplify]: iteration complete: 5001 enodes 9.627 * * [simplify]: Extracting #0: cost 26 inf + 0 9.628 * * [simplify]: Extracting #1: cost 234 inf + 2 9.634 * * [simplify]: Extracting #2: cost 1343 inf + 31 9.645 * * [simplify]: Extracting #3: cost 1259 inf + 1791 9.655 * * [simplify]: Extracting #4: cost 591 inf + 7374 9.666 * * [simplify]: Extracting #5: cost 83 inf + 11145 9.682 * * [simplify]: Extracting #6: cost 0 inf + 11837 9.692 * [simplify]: Simplified to: (expm1 (tan (* l PI))) (log1p (tan (* l PI))) (sin (* l PI)) (cos (* l PI)) (log (tan (* l PI))) (exp (tan (* l PI))) (* (cbrt (tan (* l PI))) (cbrt (tan (* l PI)))) (cbrt (tan (* l PI))) (pow (tan (* l PI)) 3) (sqrt (tan (* l PI))) (sqrt (tan (* l PI))) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) 1 (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) 1 (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (expm1 (sqrt PI)) (log1p (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) 1 (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (fma (* 1/3 (pow PI 3)) (pow l 3) (fma (pow l 5) (* 2/15 (pow PI 5)) (* l PI))) (/ (sin (* l PI)) (cos (* l PI))) (/ (sin (* l PI)) (cos (* l PI))) (fma PI l (* (- (/ 1.0 F)) (/ (tan (* l PI)) F))) (fma PI l (* (- (/ 1.0 F)) (/ (tan (* l PI)) F))) (fma PI l (* (- (/ 1.0 F)) (/ (tan (* l PI)) F))) 9.692 * * * [progress]: adding candidates to table 10.096 * [progress]: [Phase 3 of 3] Extracting. 10.097 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # #) 10.104 * * * [regime-changes]: Trying 6 branch expressions: ((* F F) (/ 1.0 (* F F)) (* PI l) (- (* PI l) (* (/ 1.0 (* F F)) (tan (* PI l)))) l F) 10.105 * * * * [regimes]: Trying to branch on (* F F) from (# # # # # # # # # # # # # # # # #) 10.282 * * * * [regimes]: Trying to branch on (/ 1.0 (* F F)) from (# # # # # # # # # # # # # # # # #) 10.466 * * * * [regimes]: Trying to branch on (* PI l) from (# # # # # # # # # # # # # # # # #) 10.617 * * * * [regimes]: Trying to branch on (* PI l) from (# # # # # # # # #) 10.714 * * * * [regimes]: Trying to branch on (- (* PI l) (* (/ 1.0 (* F F)) (tan (* PI l)))) from (# # # # # # # # # # # # # # # # #) 10.877 * * * * [regimes]: Trying to branch on l from (# # # # # # # # # # # # # # # # #) 11.039 * * * * [regimes]: Trying to branch on F from (# # # # # # # # # # # # # # # # #) 11.211 * * * [regime]: Found split indices: #