79.752 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.254 * * * [progress]: [2/2] Setting up program. 0.257 * [progress]: [Phase 2 of 3] Improving. 0.257 * [simplify]: Simplifying: (pow (atan (fmod a (asin a))) (* a a)) 0.257 * * [simplify]: Extracting # 0 : cost 0 0.257 * * [simplify]: Extracting # 1 : cost 0 0.257 * * [simplify]: Extracting # 2 : cost 0 0.257 * * [simplify]: Extracting # 3 : cost 0 0.257 * * [simplify]: Extracting # 4 : cost 0 0.257 * * [simplify]: Extracting # 5 : cost 0 0.257 * * [simplify]: iteration 0 : 6 enodes (cost 9 ) 0.258 * * [simplify]: Extracting # 0 : cost 0 0.258 * * [simplify]: Extracting # 1 : cost 0 0.258 * * [simplify]: Extracting # 2 : cost 0 0.258 * * [simplify]: Extracting # 3 : cost 0 0.258 * * [simplify]: Extracting # 4 : cost 0 0.258 * * [simplify]: iteration 1 : 10 enodes (cost 9 ) 0.260 * * [simplify]: Extracting # 0 : cost 0 0.260 * * [simplify]: Extracting # 1 : cost 0 0.260 * * [simplify]: Extracting # 2 : cost 0 0.261 * * [simplify]: Extracting # 3 : cost 0 0.261 * * [simplify]: iteration 2 : 17 enodes (cost 9 ) 0.267 * * [simplify]: Extracting # 0 : cost 0 0.267 * * [simplify]: Extracting # 1 : cost 0 0.268 * * [simplify]: Extracting # 2 : cost 0 0.268 * * [simplify]: Extracting # 3 : cost 0 0.268 * * [simplify]: Extracting # 4 : cost 0 0.268 * * [simplify]: iteration 3 : 41 enodes (cost 9 ) 0.286 * * [simplify]: Extracting # 0 : cost 0 0.286 * * [simplify]: Extracting # 1 : cost 0 0.287 * * [simplify]: Extracting # 2 : cost 0 0.287 * * [simplify]: Extracting # 3 : cost 0 0.287 * * [simplify]: Extracting # 4 : cost 0 0.287 * * [simplify]: iteration 4 : 104 enodes (cost 9 ) 0.403 * * [simplify]: Extracting # 0 : cost 0 0.404 * * [simplify]: Extracting # 1 : cost 0 0.404 * * [simplify]: Extracting # 2 : cost 0 0.405 * * [simplify]: Extracting # 3 : cost 0 0.405 * * [simplify]: Extracting # 4 : cost 0 0.406 * * [simplify]: Extracting # 5 : cost 0 0.406 * * [simplify]: iteration 5 : 274 enodes (cost 9 ) 0.718 * * [simplify]: Extracting # 0 : cost 0 0.719 * * [simplify]: Extracting # 1 : cost 0 0.720 * * [simplify]: Extracting # 2 : cost 0 0.720 * * [simplify]: Extracting # 3 : cost 0 0.721 * * [simplify]: Extracting # 4 : cost 0 0.721 * * [simplify]: iteration 6 : 870 enodes (cost 9 ) 2.982 * * [simplify]: Extracting # 0 : cost 0 2.990 * * [simplify]: Extracting # 1 : cost 0 2.994 * * [simplify]: Extracting # 2 : cost 0 2.998 * * [simplify]: Extracting # 3 : cost 0 3.002 * * [simplify]: Extracting # 4 : cost 0 3.006 * * [simplify]: Extracting # 5 : cost 0 3.009 * * [simplify]: iteration 7 : 3394 enodes (cost 9 ) 4.851 * * [simplify]: Extracting # 0 : cost 0 4.859 * * [simplify]: Extracting # 1 : cost 0 4.867 * * [simplify]: Extracting # 2 : cost 0 4.884 * * [simplify]: Extracting # 3 : cost 0 4.891 * * [simplify]: iteration done: 5001 enodes (cost 9 ) 4.891 * [simplify]: Simplified to: (pow (atan (fmod a (asin a))) (* a a)) 4.892 * * [progress]: iteration 1 / 4 4.892 * * * [progress]: picking best candidate 4.896 * * * * [pick]: Picked # 4.896 * * * [progress]: localizing error 4.914 * * * [progress]: generating rewritten candidates 4.914 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.921 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 4.922 * * * [progress]: generating series expansions 4.923 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.923 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (* a a)) into (pow (atan (fmod a (asin a))) (pow a 2)) 4.923 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in (a) around 0 4.923 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 4.923 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 4.923 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 4.923 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.923 * [taylor]: Taking taylor expansion of a in a 4.923 * [backup-simplify]: Simplify 0 into 0 4.923 * [backup-simplify]: Simplify 1 into 1 4.923 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 4.923 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 4.924 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 4.925 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 4.925 * [backup-simplify]: Simplify (* 1 1) into 1 4.925 * [backup-simplify]: Simplify (* 1 (log (atan (fmod a (asin a))))) into (log (atan (fmod a (asin a)))) 4.925 * [backup-simplify]: Simplify (exp 0) into 1 4.925 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 4.925 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 4.925 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 4.925 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.925 * [taylor]: Taking taylor expansion of a in a 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 1 into 1 4.925 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 4.925 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 4.925 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 4.925 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 4.926 * [backup-simplify]: Simplify (* 1 1) into 1 4.926 * [backup-simplify]: Simplify (* 1 (log (atan (fmod a (asin a))))) into (log (atan (fmod a (asin a)))) 4.926 * [backup-simplify]: Simplify (exp 0) into 1 4.926 * [backup-simplify]: Simplify 1 into 1 4.927 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 4.927 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (log (atan (fmod a (asin a)))) 1) 1)))) into (log (atan (fmod a (asin a)))) 4.927 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 4.928 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 4.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 4.930 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (log (atan (fmod a (asin a)))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 4.930 * [backup-simplify]: Simplify 0 into 0 4.931 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (fmod a (asin a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 2) into 0 4.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 4.935 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (log (atan (fmod a (asin a)))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (log (atan (fmod a (asin a)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) 4.935 * [backup-simplify]: Simplify (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) 4.936 * [backup-simplify]: Simplify (+ (* (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) (pow a 4)) (+ (* (log (atan (fmod a (asin a)))) (pow a 2)) 1)) into (+ 1 (+ (* (pow a 2) (log (atan (fmod a (asin a))))) (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))))) 4.936 * [backup-simplify]: Simplify (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (* (/ 1 a) (/ 1 a))) into (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) 4.936 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in (a) around 0 4.936 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 4.936 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 4.936 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 4.936 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.936 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.936 * [taylor]: Taking taylor expansion of a in a 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 1 into 1 4.936 * [backup-simplify]: Simplify (* 1 1) into 1 4.937 * [backup-simplify]: Simplify (/ 1 1) into 1 4.937 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 4.937 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 4.937 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 4.937 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 4.937 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 4.937 * [backup-simplify]: Simplify (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) into (exp (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2))) 4.937 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 4.937 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 4.937 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 4.937 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.937 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.937 * [taylor]: Taking taylor expansion of a in a 4.937 * [backup-simplify]: Simplify 0 into 0 4.937 * [backup-simplify]: Simplify 1 into 1 4.938 * [backup-simplify]: Simplify (* 1 1) into 1 4.938 * [backup-simplify]: Simplify (/ 1 1) into 1 4.938 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 4.938 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 4.938 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 4.938 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 4.938 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 4.939 * [backup-simplify]: Simplify (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) into (exp (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2))) 4.939 * [backup-simplify]: Simplify (exp (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2))) into (exp (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2))) 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify (exp (/ (log (atan (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))))) (pow (/ 1 a) 2))) into (pow (atan (fmod a (asin a))) (pow a 2)) 4.940 * [backup-simplify]: Simplify (pow (atan (fmod (/ 1 (- a)) (asin (/ 1 (- a))))) (* (/ 1 (- a)) (/ 1 (- a)))) into (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) 4.940 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in (a) around 0 4.940 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 4.940 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 4.940 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 4.940 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.940 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.940 * [taylor]: Taking taylor expansion of a in a 4.940 * [backup-simplify]: Simplify 0 into 0 4.940 * [backup-simplify]: Simplify 1 into 1 4.941 * [backup-simplify]: Simplify (* 1 1) into 1 4.941 * [backup-simplify]: Simplify (/ 1 1) into 1 4.941 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 4.941 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 4.941 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 4.941 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 4.941 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 4.942 * [backup-simplify]: Simplify (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) into (exp (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2))) 4.942 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 4.942 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 4.942 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 4.942 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.942 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.942 * [taylor]: Taking taylor expansion of a in a 4.942 * [backup-simplify]: Simplify 0 into 0 4.942 * [backup-simplify]: Simplify 1 into 1 4.942 * [backup-simplify]: Simplify (* 1 1) into 1 4.942 * [backup-simplify]: Simplify (/ 1 1) into 1 4.942 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 4.942 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 4.942 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 4.943 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 4.943 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 4.943 * [backup-simplify]: Simplify (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) into (exp (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2))) 4.943 * [backup-simplify]: Simplify (exp (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2))) into (exp (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2))) 4.943 * [backup-simplify]: Simplify 0 into 0 4.943 * [backup-simplify]: Simplify 0 into 0 4.943 * [backup-simplify]: Simplify 0 into 0 4.943 * [backup-simplify]: Simplify 0 into 0 4.943 * [backup-simplify]: Simplify 0 into 0 4.943 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify (exp (/ (log (atan (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))))) (pow (/ 1 (- a)) 2))) into (pow (atan (fmod a (asin a))) (pow a 2)) 4.944 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 4.944 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.944 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 4.944 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 4.944 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.944 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 4.944 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.944 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.944 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.944 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 4.944 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 4.945 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.945 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 4.945 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.945 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.945 * [backup-simplify]: Simplify 0 into 0 4.945 * [backup-simplify]: Simplify 0 into 0 4.945 * [backup-simplify]: Simplify 0 into 0 4.945 * [backup-simplify]: Simplify 0 into 0 4.945 * [backup-simplify]: Simplify 0 into 0 4.945 * [backup-simplify]: Simplify 0 into 0 4.945 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 4.945 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.945 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 4.945 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 4.945 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.945 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 4.945 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.946 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify 0 into 0 4.946 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 4.946 * * * [progress]: simplifying candidates 4.946 * [simplify]: Simplifying: (* (log (atan (fmod a (asin a)))) (* a a)) (* (log (atan (fmod a (asin a)))) (* a a)) (* 1 (* a a)) (pow (atan (fmod a (asin a))) a) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a)) (pow (cbrt (atan (fmod a (asin a)))) (* a a)) (pow (sqrt (atan (fmod a (asin a)))) (* a a)) (pow (sqrt (atan (fmod a (asin a)))) (* a a)) (pow 1 (* a a)) (pow (atan (fmod a (asin a))) (* a a)) (log (pow (atan (fmod a (asin a))) (* a a))) (exp (pow (atan (fmod a (asin a))) (* a a))) (* (cbrt (pow (atan (fmod a (asin a))) (* a a))) (cbrt (pow (atan (fmod a (asin a))) (* a a)))) (cbrt (pow (atan (fmod a (asin a))) (* a a))) (* (* (pow (atan (fmod a (asin a))) (* a a)) (pow (atan (fmod a (asin a))) (* a a))) (pow (atan (fmod a (asin a))) (* a a))) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (* (* (fmod a (asin a)) (fmod a (asin a))) (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (+ 1 (+ (* (pow a 2) (log (atan (fmod a (asin a))))) (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))))) (pow (atan (fmod a (asin a))) (pow a 2)) (pow (atan (fmod a (asin a))) (pow a 2)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 4.947 * * [simplify]: Extracting # 0 : cost 0 4.947 * * [simplify]: Extracting # 1 : cost 0 4.947 * * [simplify]: Extracting # 2 : cost 0 4.947 * * [simplify]: Extracting # 3 : cost 0 4.947 * * [simplify]: Extracting # 4 : cost 0 4.947 * * [simplify]: Extracting # 5 : cost 0 4.947 * * [simplify]: Extracting # 6 : cost 0 4.947 * * [simplify]: Extracting # 7 : cost 0 4.947 * * [simplify]: Extracting # 8 : cost 0 4.948 * * [simplify]: iteration 0 : 46 enodes (cost 322 ) 4.959 * * [simplify]: Extracting # 0 : cost 0 4.959 * * [simplify]: Extracting # 1 : cost 0 4.959 * * [simplify]: Extracting # 2 : cost 0 4.959 * * [simplify]: Extracting # 3 : cost 0 4.960 * * [simplify]: Extracting # 4 : cost 0 4.960 * * [simplify]: iteration 1 : 92 enodes (cost 308 ) 5.017 * * [simplify]: Extracting # 0 : cost 0 5.017 * * [simplify]: Extracting # 1 : cost 0 5.018 * * [simplify]: Extracting # 2 : cost 0 5.018 * * [simplify]: Extracting # 3 : cost 0 5.018 * * [simplify]: Extracting # 4 : cost 0 5.019 * * [simplify]: iteration 2 : 206 enodes (cost 290 ) 5.125 * * [simplify]: Extracting # 0 : cost 0 5.126 * * [simplify]: Extracting # 1 : cost 0 5.128 * * [simplify]: Extracting # 2 : cost 0 5.130 * * [simplify]: Extracting # 3 : cost 0 5.131 * * [simplify]: Extracting # 4 : cost 0 5.133 * * [simplify]: iteration 3 : 600 enodes (cost 288 ) 6.032 * * [simplify]: Extracting # 0 : cost 0 6.035 * * [simplify]: Extracting # 1 : cost 0 6.040 * * [simplify]: Extracting # 2 : cost 0 6.044 * * [simplify]: Extracting # 3 : cost 0 6.048 * * [simplify]: Extracting # 4 : cost 0 6.052 * * [simplify]: iteration 4 : 2179 enodes (cost 288 ) 7.691 * * [simplify]: Extracting # 0 : cost 0 7.702 * * [simplify]: Extracting # 1 : cost 0 7.719 * * [simplify]: Extracting # 2 : cost 0 7.730 * * [simplify]: Extracting # 3 : cost 0 7.742 * * [simplify]: Extracting # 4 : cost 0 7.753 * * [simplify]: iteration done: 5001 enodes (cost 288 ) 7.754 * [simplify]: Simplified to: (* (log (atan (fmod a (asin a)))) (* a a)) (* (log (atan (fmod a (asin a)))) (* a a)) (* a a) (pow (atan (fmod a (asin a))) a) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a)) (pow (cbrt (atan (fmod a (asin a)))) (* a a)) (pow (sqrt (atan (fmod a (asin a)))) (* a a)) (pow (sqrt (atan (fmod a (asin a)))) (* a a)) 1 (pow (atan (fmod a (asin a))) (* a a)) (* (log (atan (fmod a (asin a)))) (* a a)) (exp (pow (atan (fmod a (asin a))) (* a a))) (* (cbrt (pow (atan (fmod a (asin a))) (* a a))) (cbrt (pow (atan (fmod a (asin a))) (* a a)))) (cbrt (pow (atan (fmod a (asin a))) (* a a))) (pow (pow (atan (fmod a (asin a))) (* a a)) 3) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (pow (fmod a (asin a)) 3) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (+ (* (log (atan (fmod a (asin a)))) (+ (* a a) (* (* 1/2 (pow a 4)) (log (atan (fmod a (asin a))))))) 1) (pow (atan (fmod a (asin a))) (* a a)) (pow (atan (fmod a (asin a))) (* a a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 7.754 * * * [progress]: adding candidates to table 7.884 * * [progress]: iteration 2 / 4 7.884 * * * [progress]: picking best candidate 7.889 * * * * [pick]: Picked # 7.889 * * * [progress]: localizing error 7.916 * * * [progress]: generating rewritten candidates 7.916 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 7.925 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 7.942 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 7.942 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 7.945 * * * [progress]: generating series expansions 7.945 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.946 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (/ (* a a) 2)) into (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) 7.946 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 7.946 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 7.946 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 7.946 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 7.946 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 7.946 * [taylor]: Taking taylor expansion of 1/2 in a 7.946 * [backup-simplify]: Simplify 1/2 into 1/2 7.946 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.946 * [taylor]: Taking taylor expansion of a in a 7.946 * [backup-simplify]: Simplify 0 into 0 7.946 * [backup-simplify]: Simplify 1 into 1 7.946 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 7.946 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 7.946 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 7.947 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 7.948 * [backup-simplify]: Simplify (* 1 1) into 1 7.948 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.948 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 7.948 * [backup-simplify]: Simplify (exp 0) into 1 7.948 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 7.948 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 7.949 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 7.949 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 7.949 * [taylor]: Taking taylor expansion of 1/2 in a 7.949 * [backup-simplify]: Simplify 1/2 into 1/2 7.949 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.949 * [taylor]: Taking taylor expansion of a in a 7.949 * [backup-simplify]: Simplify 0 into 0 7.949 * [backup-simplify]: Simplify 1 into 1 7.949 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 7.949 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 7.949 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 7.949 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 7.950 * [backup-simplify]: Simplify (* 1 1) into 1 7.950 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.950 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 7.950 * [backup-simplify]: Simplify (exp 0) into 1 7.950 * [backup-simplify]: Simplify 1 into 1 7.952 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 7.952 * [backup-simplify]: Simplify 0 into 0 7.953 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 1) 1)))) into (* 1/2 (log (atan (fmod a (asin a))))) 7.953 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 7.956 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 7.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.958 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.959 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 7.961 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.961 * [backup-simplify]: Simplify 0 into 0 7.963 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (fmod a (asin a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 2) into 0 7.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 7.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 7.970 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 7.970 * [backup-simplify]: Simplify (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 7.971 * [backup-simplify]: Simplify (+ (* (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) (pow a 4)) (+ (* (* 1/2 (log (atan (fmod a (asin a))))) (pow a 2)) 1)) into (+ 1 (+ (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a)))))) (* 1/8 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))))) 7.972 * [backup-simplify]: Simplify (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ (* (/ 1 a) (/ 1 a)) 2)) into (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) 7.972 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 7.972 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 7.972 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 7.972 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 7.972 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 7.972 * [taylor]: Taking taylor expansion of 1/2 in a 7.972 * [backup-simplify]: Simplify 1/2 into 1/2 7.972 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.972 * [taylor]: Taking taylor expansion of a in a 7.972 * [backup-simplify]: Simplify 0 into 0 7.972 * [backup-simplify]: Simplify 1 into 1 7.972 * [backup-simplify]: Simplify (* 1 1) into 1 7.973 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.973 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 7.973 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 7.973 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 7.973 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 7.974 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 7.974 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) 7.974 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 7.974 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 7.974 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 7.974 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 7.974 * [taylor]: Taking taylor expansion of 1/2 in a 7.974 * [backup-simplify]: Simplify 1/2 into 1/2 7.974 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.974 * [taylor]: Taking taylor expansion of a in a 7.974 * [backup-simplify]: Simplify 0 into 0 7.974 * [backup-simplify]: Simplify 1 into 1 7.975 * [backup-simplify]: Simplify (* 1 1) into 1 7.975 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.975 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 7.975 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 7.976 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 7.976 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 7.976 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 7.976 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) 7.977 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) into (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify 0 into 0 7.978 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))))) (pow (/ 1 a) 2)))) into (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) 7.978 * [backup-simplify]: Simplify (pow (atan (fmod (/ 1 (- a)) (asin (/ 1 (- a))))) (/ (* (/ 1 (- a)) (/ 1 (- a))) 2)) into (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) 7.978 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 7.978 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 7.978 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 7.978 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 7.978 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 7.978 * [taylor]: Taking taylor expansion of 1/2 in a 7.978 * [backup-simplify]: Simplify 1/2 into 1/2 7.978 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.978 * [taylor]: Taking taylor expansion of a in a 7.978 * [backup-simplify]: Simplify 0 into 0 7.978 * [backup-simplify]: Simplify 1 into 1 7.979 * [backup-simplify]: Simplify (* 1 1) into 1 7.979 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.979 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 7.979 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 7.980 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 7.980 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 7.980 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 7.981 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) 7.981 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 7.981 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 7.981 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 7.981 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 7.981 * [taylor]: Taking taylor expansion of 1/2 in a 7.981 * [backup-simplify]: Simplify 1/2 into 1/2 7.981 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.981 * [taylor]: Taking taylor expansion of a in a 7.981 * [backup-simplify]: Simplify 0 into 0 7.981 * [backup-simplify]: Simplify 1 into 1 7.981 * [backup-simplify]: Simplify (* 1 1) into 1 7.982 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 7.982 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 7.982 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 7.982 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 7.982 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 7.982 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 7.983 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) 7.983 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) into (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) 7.983 * [backup-simplify]: Simplify 0 into 0 7.983 * [backup-simplify]: Simplify 0 into 0 7.983 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))))) (pow (/ 1 (- a)) 2)))) into (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) 7.984 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 7.985 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (/ (* a a) 2)) into (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) 7.985 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 7.985 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 7.985 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 7.985 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 7.985 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 7.985 * [taylor]: Taking taylor expansion of 1/2 in a 7.985 * [backup-simplify]: Simplify 1/2 into 1/2 7.985 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.985 * [taylor]: Taking taylor expansion of a in a 7.985 * [backup-simplify]: Simplify 0 into 0 7.985 * [backup-simplify]: Simplify 1 into 1 7.985 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 7.985 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 7.985 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 7.985 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 7.986 * [backup-simplify]: Simplify (* 1 1) into 1 7.986 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.986 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 7.986 * [backup-simplify]: Simplify (exp 0) into 1 7.986 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 7.986 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 7.986 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 7.987 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 7.987 * [taylor]: Taking taylor expansion of 1/2 in a 7.987 * [backup-simplify]: Simplify 1/2 into 1/2 7.987 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.987 * [taylor]: Taking taylor expansion of a in a 7.987 * [backup-simplify]: Simplify 0 into 0 7.987 * [backup-simplify]: Simplify 1 into 1 7.987 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 7.987 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 7.987 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 7.987 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 7.987 * [backup-simplify]: Simplify (* 1 1) into 1 7.988 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 7.988 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 7.988 * [backup-simplify]: Simplify (exp 0) into 1 7.988 * [backup-simplify]: Simplify 1 into 1 7.989 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 7.989 * [backup-simplify]: Simplify 0 into 0 7.990 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 1) 1)))) into (* 1/2 (log (atan (fmod a (asin a))))) 7.991 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 7.992 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 7.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.993 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 7.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 7.996 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.996 * [backup-simplify]: Simplify 0 into 0 7.998 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (fmod a (asin a))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 2) into 0 7.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 8.004 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/2 (log (atan (fmod a (asin a))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 8.004 * [backup-simplify]: Simplify (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 8.005 * [backup-simplify]: Simplify (+ (* (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) (pow a 4)) (+ (* (* 1/2 (log (atan (fmod a (asin a))))) (pow a 2)) 1)) into (+ 1 (+ (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a)))))) (* 1/8 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))))) 8.006 * [backup-simplify]: Simplify (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ (* (/ 1 a) (/ 1 a)) 2)) into (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) 8.006 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 8.006 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 8.006 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 8.006 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 8.006 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.006 * [taylor]: Taking taylor expansion of 1/2 in a 8.006 * [backup-simplify]: Simplify 1/2 into 1/2 8.006 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.006 * [taylor]: Taking taylor expansion of a in a 8.006 * [backup-simplify]: Simplify 0 into 0 8.006 * [backup-simplify]: Simplify 1 into 1 8.006 * [backup-simplify]: Simplify (* 1 1) into 1 8.007 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.007 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 8.007 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 8.007 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 8.007 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 8.008 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 8.008 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) 8.008 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 8.008 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 8.008 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 8.008 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.008 * [taylor]: Taking taylor expansion of 1/2 in a 8.008 * [backup-simplify]: Simplify 1/2 into 1/2 8.008 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.008 * [taylor]: Taking taylor expansion of a in a 8.008 * [backup-simplify]: Simplify 0 into 0 8.008 * [backup-simplify]: Simplify 1 into 1 8.009 * [backup-simplify]: Simplify (* 1 1) into 1 8.009 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.009 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 8.009 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 8.010 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 8.010 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 8.010 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 8.010 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) 8.011 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) into (exp (* 1/2 (/ (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) (pow a 2)))) 8.011 * [backup-simplify]: Simplify 0 into 0 8.011 * [backup-simplify]: Simplify 0 into 0 8.011 * [backup-simplify]: Simplify 0 into 0 8.011 * [backup-simplify]: Simplify 0 into 0 8.011 * [backup-simplify]: Simplify 0 into 0 8.011 * [backup-simplify]: Simplify 0 into 0 8.012 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))))) (pow (/ 1 a) 2)))) into (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) 8.012 * [backup-simplify]: Simplify (pow (atan (fmod (/ 1 (- a)) (asin (/ 1 (- a))))) (/ (* (/ 1 (- a)) (/ 1 (- a))) 2)) into (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) 8.012 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 8.012 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 8.012 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 8.012 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 8.012 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.012 * [taylor]: Taking taylor expansion of 1/2 in a 8.012 * [backup-simplify]: Simplify 1/2 into 1/2 8.012 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.012 * [taylor]: Taking taylor expansion of a in a 8.012 * [backup-simplify]: Simplify 0 into 0 8.012 * [backup-simplify]: Simplify 1 into 1 8.013 * [backup-simplify]: Simplify (* 1 1) into 1 8.013 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.013 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 8.014 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 8.014 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 8.014 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 8.014 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 8.015 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) 8.015 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 8.015 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 8.015 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 8.015 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.015 * [taylor]: Taking taylor expansion of 1/2 in a 8.015 * [backup-simplify]: Simplify 1/2 into 1/2 8.015 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.015 * [taylor]: Taking taylor expansion of a in a 8.015 * [backup-simplify]: Simplify 0 into 0 8.015 * [backup-simplify]: Simplify 1 into 1 8.015 * [backup-simplify]: Simplify (* 1 1) into 1 8.016 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.016 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 8.016 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 8.016 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 8.016 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 8.017 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 8.017 * [backup-simplify]: Simplify (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) into (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) 8.018 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) into (exp (* 1/2 (/ (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) (pow a 2)))) 8.018 * [backup-simplify]: Simplify 0 into 0 8.018 * [backup-simplify]: Simplify 0 into 0 8.018 * [backup-simplify]: Simplify 0 into 0 8.018 * [backup-simplify]: Simplify 0 into 0 8.018 * [backup-simplify]: Simplify 0 into 0 8.018 * [backup-simplify]: Simplify 0 into 0 8.019 * [backup-simplify]: Simplify (exp (* 1/2 (/ (log (atan (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))))) (pow (/ 1 (- a)) 2)))) into (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) 8.019 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 8.019 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.019 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 8.019 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 8.019 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.019 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 8.019 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.019 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.019 * [backup-simplify]: Simplify 0 into 0 8.019 * [backup-simplify]: Simplify 0 into 0 8.019 * [backup-simplify]: Simplify 0 into 0 8.019 * [backup-simplify]: Simplify 0 into 0 8.019 * [backup-simplify]: Simplify 0 into 0 8.020 * [backup-simplify]: Simplify 0 into 0 8.020 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.020 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.020 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 8.020 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 8.020 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.020 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 8.020 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.020 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.020 * [backup-simplify]: Simplify 0 into 0 8.021 * [backup-simplify]: Simplify 0 into 0 8.021 * [backup-simplify]: Simplify 0 into 0 8.021 * [backup-simplify]: Simplify 0 into 0 8.021 * [backup-simplify]: Simplify 0 into 0 8.021 * [backup-simplify]: Simplify 0 into 0 8.021 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 8.021 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.021 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 8.021 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 8.021 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.021 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 8.021 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.022 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 8.022 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 8.022 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.022 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 8.022 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 8.022 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.023 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 8.023 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.023 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify 0 into 0 8.023 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.023 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.023 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 8.023 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 8.023 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.024 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 8.024 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.024 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.024 * [backup-simplify]: Simplify 0 into 0 8.024 * [backup-simplify]: Simplify 0 into 0 8.024 * [backup-simplify]: Simplify 0 into 0 8.024 * [backup-simplify]: Simplify 0 into 0 8.024 * [backup-simplify]: Simplify 0 into 0 8.024 * [backup-simplify]: Simplify 0 into 0 8.024 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 8.024 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.024 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 8.025 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 8.025 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.025 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 8.025 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.025 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.025 * [backup-simplify]: Simplify 0 into 0 8.025 * [backup-simplify]: Simplify 0 into 0 8.025 * [backup-simplify]: Simplify 0 into 0 8.025 * [backup-simplify]: Simplify 0 into 0 8.025 * [backup-simplify]: Simplify 0 into 0 8.025 * [backup-simplify]: Simplify 0 into 0 8.025 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 8.026 * * * [progress]: simplifying candidates 8.027 * [simplify]: Simplifying: (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (* (cbrt (/ (* a a) 2)) (cbrt (/ (* a a) 2)))) (pow (atan (fmod a (asin a))) (sqrt (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) (/ a 1)) (pow (atan (fmod a (asin a))) 1) (pow (atan (fmod a (asin a))) (* a a)) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2)) (pow (cbrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (log (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (exp (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2)))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (* (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (/ (* a a) 2) 2)) (pow (atan (fmod a (asin a))) (/ (/ (* a a) 2) 2)) (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (* (cbrt (/ (* a a) 2)) (cbrt (/ (* a a) 2)))) (pow (atan (fmod a (asin a))) (sqrt (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) (/ a 1)) (pow (atan (fmod a (asin a))) 1) (pow (atan (fmod a (asin a))) (* a a)) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2)) (pow (cbrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (log (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (exp (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2)))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (* (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (/ (* a a) 2) 2)) (pow (atan (fmod a (asin a))) (/ (/ (* a a) 2) 2)) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (* (* (fmod a (asin a)) (fmod a (asin a))) (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (* (* (fmod a (asin a)) (fmod a (asin a))) (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (+ 1 (+ (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a)))))) (* 1/8 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))))) (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) (+ 1 (+ (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a)))))) (* 1/8 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))))) (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 8.028 * * [simplify]: Extracting # 0 : cost 0 8.029 * * [simplify]: Extracting # 1 : cost 0 8.029 * * [simplify]: Extracting # 2 : cost 0 8.029 * * [simplify]: Extracting # 3 : cost 0 8.029 * * [simplify]: Extracting # 4 : cost 0 8.029 * * [simplify]: Extracting # 5 : cost 0 8.029 * * [simplify]: Extracting # 6 : cost 0 8.029 * * [simplify]: Extracting # 7 : cost 0 8.029 * * [simplify]: Extracting # 8 : cost 0 8.029 * * [simplify]: Extracting # 9 : cost 0 8.029 * * [simplify]: Extracting # 10 : cost 0 8.029 * * [simplify]: iteration 0 : 64 enodes (cost 892 ) 8.045 * * [simplify]: Extracting # 0 : cost 0 8.045 * * [simplify]: Extracting # 1 : cost 0 8.045 * * [simplify]: Extracting # 2 : cost 0 8.045 * * [simplify]: Extracting # 3 : cost 0 8.045 * * [simplify]: Extracting # 4 : cost 0 8.046 * * [simplify]: iteration 1 : 134 enodes (cost 832 ) 8.111 * * [simplify]: Extracting # 0 : cost 0 8.112 * * [simplify]: Extracting # 1 : cost 0 8.112 * * [simplify]: Extracting # 2 : cost 0 8.113 * * [simplify]: Extracting # 3 : cost 0 8.114 * * [simplify]: Extracting # 4 : cost 0 8.114 * * [simplify]: iteration 2 : 315 enodes (cost 800 ) 8.342 * * [simplify]: Extracting # 0 : cost 0 8.343 * * [simplify]: Extracting # 1 : cost 0 8.344 * * [simplify]: Extracting # 2 : cost 0 8.345 * * [simplify]: Extracting # 3 : cost 0 8.346 * * [simplify]: Extracting # 4 : cost 0 8.347 * * [simplify]: iteration 3 : 959 enodes (cost 762 ) 10.306 * * [simplify]: Extracting # 0 : cost 0 10.317 * * [simplify]: Extracting # 1 : cost 0 10.325 * * [simplify]: Extracting # 2 : cost 0 10.339 * * [simplify]: Extracting # 3 : cost 0 10.346 * * [simplify]: Extracting # 4 : cost 0 10.353 * * [simplify]: iteration 4 : 4093 enodes (cost 760 ) 12.998 * * [simplify]: Extracting # 0 : cost 0 13.013 * * [simplify]: Extracting # 1 : cost 0 13.022 * * [simplify]: Extracting # 2 : cost 0 13.032 * * [simplify]: Extracting # 3 : cost 0 13.041 * * [simplify]: Extracting # 4 : cost 0 13.050 * * [simplify]: iteration done: 5001 enodes (cost 756 ) 13.051 * [simplify]: Simplified to: (* (log (sqrt (atan (fmod a (asin a))))) (pow a 2)) (* (log (sqrt (atan (fmod a (asin a))))) (pow a 2)) (* a (* 1/2 a)) (pow (atan (fmod a (asin a))) (* (cbrt (/ (* a a) 2)) (cbrt (/ (* a a) 2)))) (pow (atan (fmod a (asin a))) (sqrt (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) a) (atan (fmod a (asin a))) (pow (pow (atan (fmod a (asin a))) a) a) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2)) (pow (cbrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) 1 (pow (sqrt (pow (atan (fmod a (asin a))) a)) a) (* (log (sqrt (atan (fmod a (asin a))))) (pow a 2)) (exp (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (* (cbrt (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (* a a))))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (pow (pow (atan (fmod a (asin a))) (pow a 2)) 3/2) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (* (log (sqrt (atan (fmod a (asin a))))) (pow a 2)) (* (log (sqrt (atan (fmod a (asin a))))) (pow a 2)) (* a (* 1/2 a)) (pow (atan (fmod a (asin a))) (* (cbrt (/ (* a a) 2)) (cbrt (/ (* a a) 2)))) (pow (atan (fmod a (asin a))) (sqrt (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) a) (atan (fmod a (asin a))) (pow (pow (atan (fmod a (asin a))) a) a) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2)) (pow (cbrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) 1 (pow (sqrt (pow (atan (fmod a (asin a))) a)) a) (* (log (sqrt (atan (fmod a (asin a))))) (pow a 2)) (exp (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (* (cbrt (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (* a a))))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (pow (pow (atan (fmod a (asin a))) (pow a 2)) 3/2) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (pow (fmod a (asin a)) 3) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (pow (fmod a (asin a)) 3) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (+ (* (log (atan (fmod a (asin a)))) (+ (* (* 1/8 (pow a 4)) (log (atan (fmod a (asin a))))) (* 1/2 (* a a)))) 1) (pow (sqrt (pow (atan (fmod a (asin a))) a)) a) (pow (sqrt (pow (atan (fmod a (asin a))) a)) a) (+ (* (log (atan (fmod a (asin a)))) (+ (* (* 1/8 (pow a 4)) (log (atan (fmod a (asin a))))) (* 1/2 (* a a)))) 1) (pow (sqrt (pow (atan (fmod a (asin a))) a)) a) (pow (sqrt (pow (atan (fmod a (asin a))) a)) a) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 13.052 * * * [progress]: adding candidates to table 13.374 * [progress]: [Phase 3 of 3] Extracting. 13.375 * * [regime]: Finding splitpoints for: (# #) 13.375 * * * [regime-changes]: Trying 2 branch expressions: ((pow (atan (fmod a (asin a))) (* a a)) a) 13.375 * * * * [regimes]: Trying to branch on (pow (atan (fmod a (asin a))) (* a a)) from (# #) 13.413 * * * * [regimes]: Trying to branch on a from (# #) 13.427 * * * [regime]: Found split indices: #