84.767 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.237 * * * [progress]: [2/2] Setting up program. 0.240 * [progress]: [Phase 2 of 3] Improving. 0.240 * [simplify]: Simplifying: (pow (atan (fmod a (asin a))) (* a a)) 0.240 * * [simplify]: Extracting # 0 : cost 0 0.240 * * [simplify]: Extracting # 1 : cost 0 0.241 * * [simplify]: Extracting # 2 : cost 0 0.241 * * [simplify]: Extracting # 3 : cost 0 0.241 * * [simplify]: Extracting # 4 : cost 0 0.241 * * [simplify]: Extracting # 5 : cost 0 0.241 * * [simplify]: iteration 0 : 6 enodes (cost 9 ) 0.243 * * [simplify]: Extracting # 0 : cost 0 0.243 * * [simplify]: Extracting # 1 : cost 0 0.243 * * [simplify]: Extracting # 2 : cost 0 0.243 * * [simplify]: Extracting # 3 : cost 0 0.243 * * [simplify]: Extracting # 4 : cost 0 0.243 * * [simplify]: iteration 1 : 10 enodes (cost 9 ) 0.246 * * [simplify]: Extracting # 0 : cost 0 0.246 * * [simplify]: Extracting # 1 : cost 0 0.247 * * [simplify]: Extracting # 2 : cost 0 0.247 * * [simplify]: Extracting # 3 : cost 0 0.247 * * [simplify]: iteration 2 : 17 enodes (cost 9 ) 0.254 * * [simplify]: Extracting # 0 : cost 0 0.254 * * [simplify]: Extracting # 1 : cost 0 0.254 * * [simplify]: Extracting # 2 : cost 0 0.254 * * [simplify]: Extracting # 3 : cost 0 0.254 * * [simplify]: Extracting # 4 : cost 0 0.254 * * [simplify]: iteration 3 : 41 enodes (cost 9 ) 0.317 * * [simplify]: Extracting # 0 : cost 0 0.318 * * [simplify]: Extracting # 1 : cost 0 0.318 * * [simplify]: Extracting # 2 : cost 0 0.318 * * [simplify]: Extracting # 3 : cost 0 0.318 * * [simplify]: Extracting # 4 : cost 0 0.318 * * [simplify]: iteration 4 : 104 enodes (cost 9 ) 0.408 * * [simplify]: Extracting # 0 : cost 0 0.409 * * [simplify]: Extracting # 1 : cost 0 0.410 * * [simplify]: Extracting # 2 : cost 0 0.410 * * [simplify]: Extracting # 3 : cost 0 0.410 * * [simplify]: Extracting # 4 : cost 0 0.411 * * [simplify]: Extracting # 5 : cost 0 0.411 * * [simplify]: iteration 5 : 274 enodes (cost 9 ) 0.785 * * [simplify]: Extracting # 0 : cost 0 0.786 * * [simplify]: Extracting # 1 : cost 0 0.787 * * [simplify]: Extracting # 2 : cost 0 0.788 * * [simplify]: Extracting # 3 : cost 0 0.788 * * [simplify]: Extracting # 4 : cost 0 0.789 * * [simplify]: iteration 6 : 870 enodes (cost 9 ) 2.809 * * [simplify]: Extracting # 0 : cost 0 2.812 * * [simplify]: Extracting # 1 : cost 0 2.814 * * [simplify]: Extracting # 2 : cost 0 2.816 * * [simplify]: Extracting # 3 : cost 0 2.818 * * [simplify]: Extracting # 4 : cost 0 2.820 * * [simplify]: Extracting # 5 : cost 0 2.822 * * [simplify]: iteration 7 : 3394 enodes (cost 9 ) 4.857 * * [simplify]: Extracting # 0 : cost 0 4.861 * * [simplify]: Extracting # 1 : cost 0 4.867 * * [simplify]: Extracting # 2 : cost 0 4.875 * * [simplify]: Extracting # 3 : cost 0 4.882 * * [simplify]: iteration done: 5001 enodes (cost 9 ) 4.882 * [simplify]: Simplified to: (pow (atan (fmod a (asin a))) (* a a)) 4.883 * * [progress]: iteration 1 / 4 4.883 * * * [progress]: picking best candidate 4.888 * * * * [pick]: Picked # 4.888 * * * [progress]: localizing error 4.899 * * * [progress]: generating rewritten candidates 4.899 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.903 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 4.904 * * * [progress]: generating series expansions 4.904 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.904 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (* a a)) into (pow (atan (fmod a (asin a))) (pow a 2)) 4.904 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in (a) around 0 4.904 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 4.904 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 4.904 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 4.904 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.904 * [taylor]: Taking taylor expansion of a in a 4.904 * [backup-simplify]: Simplify 0 into 0 4.904 * [backup-simplify]: Simplify 1 into 1 4.904 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 4.904 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 4.905 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 4.905 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 4.905 * [backup-simplify]: Simplify (* 1 1) into 1 4.905 * [backup-simplify]: Simplify (* 1 (log (atan (fmod a (asin a))))) into (log (atan (fmod a (asin a)))) 4.905 * [backup-simplify]: Simplify (exp 0) into 1 4.905 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 4.905 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 4.905 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 4.905 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.905 * [taylor]: Taking taylor expansion of a in a 4.905 * [backup-simplify]: Simplify 0 into 0 4.905 * [backup-simplify]: Simplify 1 into 1 4.905 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 4.905 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 4.906 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 4.906 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 4.906 * [backup-simplify]: Simplify (* 1 1) into 1 4.906 * [backup-simplify]: Simplify (* 1 (log (atan (fmod a (asin a))))) into (log (atan (fmod a (asin a)))) 4.906 * [backup-simplify]: Simplify (exp 0) into 1 4.906 * [backup-simplify]: Simplify 1 into 1 4.907 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 4.907 * [backup-simplify]: Simplify 0 into 0 4.908 * [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)))) 4.908 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 4.908 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 4.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 4.911 * [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 4.911 * [backup-simplify]: Simplify 0 into 0 4.912 * [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 4.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 4.915 * [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)) 4.915 * [backup-simplify]: Simplify (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) 4.916 * [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))))) 4.916 * [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))) 4.916 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in (a) around 0 4.916 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 4.916 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 4.916 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 4.916 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.916 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.916 * [taylor]: Taking taylor expansion of a in a 4.916 * [backup-simplify]: Simplify 0 into 0 4.916 * [backup-simplify]: Simplify 1 into 1 4.916 * [backup-simplify]: Simplify (* 1 1) into 1 4.916 * [backup-simplify]: Simplify (/ 1 1) into 1 4.916 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 4.917 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 4.917 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 4.917 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 4.917 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 4.917 * [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))) 4.917 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 4.917 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 4.917 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 4.917 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.917 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.917 * [taylor]: Taking taylor expansion of a in a 4.917 * [backup-simplify]: Simplify 0 into 0 4.917 * [backup-simplify]: Simplify 1 into 1 4.918 * [backup-simplify]: Simplify (* 1 1) into 1 4.918 * [backup-simplify]: Simplify (/ 1 1) into 1 4.918 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 4.918 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 4.918 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 4.918 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 4.918 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 4.918 * [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))) 4.919 * [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))) 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [backup-simplify]: Simplify 0 into 0 4.919 * [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)) 4.919 * [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))) 4.919 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in (a) around 0 4.919 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 4.919 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 4.919 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 4.919 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.919 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.919 * [taylor]: Taking taylor expansion of a in a 4.920 * [backup-simplify]: Simplify 0 into 0 4.920 * [backup-simplify]: Simplify 1 into 1 4.920 * [backup-simplify]: Simplify (* 1 1) into 1 4.920 * [backup-simplify]: Simplify (/ 1 1) into 1 4.920 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 4.920 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 4.920 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 4.920 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 4.921 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 4.921 * [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))) 4.921 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 4.921 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 4.921 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 4.921 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.921 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.921 * [taylor]: Taking taylor expansion of a in a 4.921 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 1 into 1 4.922 * [backup-simplify]: Simplify (* 1 1) into 1 4.922 * [backup-simplify]: Simplify (/ 1 1) into 1 4.922 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 4.922 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 4.923 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 4.923 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 4.923 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 4.923 * [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))) 4.924 * [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))) 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 0 into 0 4.925 * [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)) 4.925 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 4.925 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.925 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 4.925 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 4.925 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.925 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 4.925 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.925 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 4.926 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.926 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 4.926 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 4.926 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.926 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 4.926 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.926 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 4.927 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.927 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 4.927 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 4.927 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.927 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 4.927 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.927 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify 0 into 0 4.928 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 4.928 * * * [progress]: simplifying candidates 4.929 * [simplify]: Simplifying: (expm1 (pow (atan (fmod a (asin a))) (* a a))) (log1p (pow (atan (fmod a (asin a))) (* a a))) (* (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)) (expm1 (fmod a (asin a))) (log1p (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 (+ (* (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)) 4.930 * * [simplify]: Extracting # 0 : cost 0 4.930 * * [simplify]: Extracting # 1 : cost 0 4.930 * * [simplify]: Extracting # 2 : cost 0 4.930 * * [simplify]: Extracting # 3 : cost 0 4.931 * * [simplify]: Extracting # 4 : cost 0 4.931 * * [simplify]: Extracting # 5 : cost 0 4.931 * * [simplify]: Extracting # 6 : cost 0 4.931 * * [simplify]: Extracting # 7 : cost 0 4.931 * * [simplify]: Extracting # 8 : cost 0 4.931 * * [simplify]: Extracting # 9 : cost 0 4.931 * * [simplify]: iteration 0 : 50 enodes (cost 352 ) 4.962 * * [simplify]: Extracting # 0 : cost 0 4.963 * * [simplify]: Extracting # 1 : cost 0 4.963 * * [simplify]: Extracting # 2 : cost 0 4.963 * * [simplify]: Extracting # 3 : cost 0 4.963 * * [simplify]: Extracting # 4 : cost 0 4.964 * * [simplify]: iteration 1 : 97 enodes (cost 337 ) 5.013 * * [simplify]: Extracting # 0 : cost 0 5.013 * * [simplify]: Extracting # 1 : cost 0 5.013 * * [simplify]: Extracting # 2 : cost 0 5.013 * * [simplify]: Extracting # 3 : cost 0 5.014 * * [simplify]: Extracting # 4 : cost 0 5.014 * * [simplify]: iteration 2 : 216 enodes (cost 319 ) 5.131 * * [simplify]: Extracting # 0 : cost 0 5.131 * * [simplify]: Extracting # 1 : cost 0 5.132 * * [simplify]: Extracting # 2 : cost 0 5.132 * * [simplify]: Extracting # 3 : cost 0 5.133 * * [simplify]: Extracting # 4 : cost 0 5.134 * * [simplify]: iteration 3 : 650 enodes (cost 318 ) 6.206 * * [simplify]: Extracting # 0 : cost 0 6.212 * * [simplify]: Extracting # 1 : cost 0 6.216 * * [simplify]: Extracting # 2 : cost 0 6.220 * * [simplify]: Extracting # 3 : cost 0 6.225 * * [simplify]: Extracting # 4 : cost 0 6.229 * * [simplify]: iteration 4 : 2378 enodes (cost 316 ) 8.638 * * [simplify]: Extracting # 0 : cost 0 8.646 * * [simplify]: Extracting # 1 : cost 0 8.657 * * [simplify]: Extracting # 2 : cost 0 8.665 * * [simplify]: Extracting # 3 : cost 0 8.671 * * [simplify]: Extracting # 4 : cost 0 8.680 * * [simplify]: Extracting # 5 : cost 0 8.685 * * [simplify]: iteration done: 5000 enodes (cost 316 ) 8.686 * [simplify]: Simplified to: (expm1 (pow (atan (fmod a (asin a))) (* a a))) (log1p (pow (atan (fmod a (asin a))) (* a a))) (* (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)) (expm1 (fmod a (asin a))) (log1p (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))) (fma (log (atan (fmod a (asin a)))) (fma 1/2 (* (log (atan (fmod a (asin a)))) (pow a 4)) (* a 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)) 8.686 * * * [progress]: adding candidates to table 8.804 * * [progress]: iteration 2 / 4 8.804 * * * [progress]: picking best candidate 8.808 * * * * [pick]: Picked # 8.808 * * * [progress]: localizing error 8.833 * * * [progress]: generating rewritten candidates 8.833 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.841 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.849 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 8.850 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 8.852 * * * [progress]: generating series expansions 8.852 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.853 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (/ (* a a) 2)) into (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) 8.853 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 8.853 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 8.853 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 8.853 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 8.853 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 8.853 * [taylor]: Taking taylor expansion of 1/2 in a 8.853 * [backup-simplify]: Simplify 1/2 into 1/2 8.853 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.853 * [taylor]: Taking taylor expansion of a in a 8.853 * [backup-simplify]: Simplify 0 into 0 8.853 * [backup-simplify]: Simplify 1 into 1 8.853 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 8.853 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 8.853 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 8.854 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 8.854 * [backup-simplify]: Simplify (* 1 1) into 1 8.855 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.855 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 8.855 * [backup-simplify]: Simplify (exp 0) into 1 8.855 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 8.855 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 8.855 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 8.855 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 8.855 * [taylor]: Taking taylor expansion of 1/2 in a 8.855 * [backup-simplify]: Simplify 1/2 into 1/2 8.855 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.855 * [taylor]: Taking taylor expansion of a in a 8.855 * [backup-simplify]: Simplify 0 into 0 8.855 * [backup-simplify]: Simplify 1 into 1 8.855 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 8.855 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 8.855 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 8.856 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 8.856 * [backup-simplify]: Simplify (* 1 1) into 1 8.856 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.857 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 8.857 * [backup-simplify]: Simplify (exp 0) into 1 8.857 * [backup-simplify]: Simplify 1 into 1 8.858 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 8.858 * [backup-simplify]: Simplify 0 into 0 8.868 * [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))))) 8.868 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 8.870 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 8.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 8.875 * [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 8.875 * [backup-simplify]: Simplify 0 into 0 8.878 * [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 8.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 8.886 * [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)) 8.886 * [backup-simplify]: Simplify (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 8.887 * [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))))) 8.888 * [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))) 8.888 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 8.888 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 8.888 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 8.888 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 8.888 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.888 * [taylor]: Taking taylor expansion of 1/2 in a 8.888 * [backup-simplify]: Simplify 1/2 into 1/2 8.888 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.888 * [taylor]: Taking taylor expansion of a in a 8.888 * [backup-simplify]: Simplify 0 into 0 8.888 * [backup-simplify]: Simplify 1 into 1 8.889 * [backup-simplify]: Simplify (* 1 1) into 1 8.890 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.890 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 8.890 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 8.890 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 8.890 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 8.890 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 8.891 * [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)))) 8.891 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 8.891 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 8.891 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 8.891 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.891 * [taylor]: Taking taylor expansion of 1/2 in a 8.891 * [backup-simplify]: Simplify 1/2 into 1/2 8.891 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.891 * [taylor]: Taking taylor expansion of a in a 8.891 * [backup-simplify]: Simplify 0 into 0 8.891 * [backup-simplify]: Simplify 1 into 1 8.892 * [backup-simplify]: Simplify (* 1 1) into 1 8.892 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.892 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 8.892 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 8.892 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 8.893 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 8.893 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 8.893 * [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)))) 8.894 * [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)))) 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [backup-simplify]: Simplify 0 into 0 8.894 * [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))))))) 8.895 * [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))) 8.895 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 8.895 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 8.895 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 8.895 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 8.895 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.895 * [taylor]: Taking taylor expansion of 1/2 in a 8.895 * [backup-simplify]: Simplify 1/2 into 1/2 8.895 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.895 * [taylor]: Taking taylor expansion of a in a 8.895 * [backup-simplify]: Simplify 0 into 0 8.895 * [backup-simplify]: Simplify 1 into 1 8.896 * [backup-simplify]: Simplify (* 1 1) into 1 8.896 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.896 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 8.896 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 8.897 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 8.897 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 8.897 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 8.897 * [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)))) 8.898 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 8.898 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 8.898 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 8.898 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.898 * [taylor]: Taking taylor expansion of 1/2 in a 8.898 * [backup-simplify]: Simplify 1/2 into 1/2 8.898 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.898 * [taylor]: Taking taylor expansion of a in a 8.898 * [backup-simplify]: Simplify 0 into 0 8.898 * [backup-simplify]: Simplify 1 into 1 8.898 * [backup-simplify]: Simplify (* 1 1) into 1 8.899 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.899 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 8.899 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 8.899 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 8.899 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 8.899 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 8.900 * [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)))) 8.900 * [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)))) 8.900 * [backup-simplify]: Simplify 0 into 0 8.900 * [backup-simplify]: Simplify 0 into 0 8.901 * [backup-simplify]: Simplify 0 into 0 8.901 * [backup-simplify]: Simplify 0 into 0 8.901 * [backup-simplify]: Simplify 0 into 0 8.901 * [backup-simplify]: Simplify 0 into 0 8.901 * [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))))))) 8.901 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.902 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (/ (* a a) 2)) into (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) 8.902 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 8.902 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 8.902 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 8.902 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 8.902 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 8.902 * [taylor]: Taking taylor expansion of 1/2 in a 8.902 * [backup-simplify]: Simplify 1/2 into 1/2 8.902 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.902 * [taylor]: Taking taylor expansion of a in a 8.902 * [backup-simplify]: Simplify 0 into 0 8.902 * [backup-simplify]: Simplify 1 into 1 8.902 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 8.902 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 8.902 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 8.902 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 8.903 * [backup-simplify]: Simplify (* 1 1) into 1 8.903 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.903 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 8.903 * [backup-simplify]: Simplify (exp 0) into 1 8.903 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 8.904 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 8.904 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 8.904 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 8.904 * [taylor]: Taking taylor expansion of 1/2 in a 8.904 * [backup-simplify]: Simplify 1/2 into 1/2 8.904 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.904 * [taylor]: Taking taylor expansion of a in a 8.904 * [backup-simplify]: Simplify 0 into 0 8.904 * [backup-simplify]: Simplify 1 into 1 8.904 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 8.904 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 8.904 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 8.904 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 8.904 * [backup-simplify]: Simplify (* 1 1) into 1 8.905 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.905 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 8.905 * [backup-simplify]: Simplify (exp 0) into 1 8.905 * [backup-simplify]: Simplify 1 into 1 8.906 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 8.906 * [backup-simplify]: Simplify 0 into 0 8.906 * [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))))) 8.907 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 8.907 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 8.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 8.910 * [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 8.910 * [backup-simplify]: Simplify 0 into 0 8.911 * [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 8.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.913 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 8.915 * [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)) 8.916 * [backup-simplify]: Simplify (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 8.916 * [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))))) 8.917 * [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))) 8.917 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 8.917 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 8.917 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 8.917 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 8.917 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.917 * [taylor]: Taking taylor expansion of 1/2 in a 8.917 * [backup-simplify]: Simplify 1/2 into 1/2 8.917 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.917 * [taylor]: Taking taylor expansion of a in a 8.917 * [backup-simplify]: Simplify 0 into 0 8.917 * [backup-simplify]: Simplify 1 into 1 8.917 * [backup-simplify]: Simplify (* 1 1) into 1 8.917 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.917 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 8.917 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 8.918 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 8.918 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 8.918 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 8.918 * [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)))) 8.918 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 8.918 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 8.918 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 8.918 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.918 * [taylor]: Taking taylor expansion of 1/2 in a 8.918 * [backup-simplify]: Simplify 1/2 into 1/2 8.918 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.918 * [taylor]: Taking taylor expansion of a in a 8.918 * [backup-simplify]: Simplify 0 into 0 8.918 * [backup-simplify]: Simplify 1 into 1 8.919 * [backup-simplify]: Simplify (* 1 1) into 1 8.919 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.919 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 8.919 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 8.919 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 8.919 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 8.919 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 8.919 * [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)))) 8.920 * [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)))) 8.920 * [backup-simplify]: Simplify 0 into 0 8.920 * [backup-simplify]: Simplify 0 into 0 8.920 * [backup-simplify]: Simplify 0 into 0 8.920 * [backup-simplify]: Simplify 0 into 0 8.920 * [backup-simplify]: Simplify 0 into 0 8.920 * [backup-simplify]: Simplify 0 into 0 8.920 * [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))))))) 8.921 * [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))) 8.921 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 8.921 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 8.921 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 8.921 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 8.921 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.921 * [taylor]: Taking taylor expansion of 1/2 in a 8.921 * [backup-simplify]: Simplify 1/2 into 1/2 8.921 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.921 * [taylor]: Taking taylor expansion of a in a 8.921 * [backup-simplify]: Simplify 0 into 0 8.921 * [backup-simplify]: Simplify 1 into 1 8.921 * [backup-simplify]: Simplify (* 1 1) into 1 8.921 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.921 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 8.921 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 8.922 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 8.922 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 8.922 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 8.922 * [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)))) 8.922 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 8.922 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 8.922 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 8.922 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.922 * [taylor]: Taking taylor expansion of 1/2 in a 8.922 * [backup-simplify]: Simplify 1/2 into 1/2 8.922 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.922 * [taylor]: Taking taylor expansion of a in a 8.922 * [backup-simplify]: Simplify 0 into 0 8.922 * [backup-simplify]: Simplify 1 into 1 8.922 * [backup-simplify]: Simplify (* 1 1) into 1 8.923 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.923 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 8.923 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 8.923 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 8.923 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 8.923 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 8.923 * [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)))) 8.924 * [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)))) 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * [backup-simplify]: Simplify 0 into 0 8.924 * [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))))))) 8.924 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 8.924 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.924 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 8.924 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 8.924 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.924 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 8.924 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.924 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.925 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.925 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 8.925 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 8.925 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.925 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 8.925 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.925 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify 0 into 0 8.925 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 8.925 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.925 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 8.925 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 8.926 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.926 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 8.926 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.926 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 8.926 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 8.926 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.926 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 8.926 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 8.926 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.926 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 8.926 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.926 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 0 into 0 8.926 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.927 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.927 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 8.927 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 8.927 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.927 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 8.927 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.927 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify 0 into 0 8.927 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 8.927 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.927 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 8.927 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 8.927 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.927 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 8.927 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.928 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify 0 into 0 8.928 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 8.928 * * * [progress]: simplifying candidates 8.929 * [simplify]: Simplifying: (expm1 (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (log1p (pow (atan (fmod a (asin a))) (/ (* a a) 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)) (expm1 (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (log1p (pow (atan (fmod a (asin a))) (/ (* a a) 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)) (expm1 (fmod a (asin a))) (log1p (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))) (expm1 (fmod a (asin a))) (log1p (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)) 8.930 * * [simplify]: Extracting # 0 : cost 0 8.930 * * [simplify]: Extracting # 1 : cost 0 8.930 * * [simplify]: Extracting # 2 : cost 0 8.930 * * [simplify]: Extracting # 3 : cost 0 8.930 * * [simplify]: Extracting # 4 : cost 0 8.930 * * [simplify]: Extracting # 5 : cost 0 8.930 * * [simplify]: Extracting # 6 : cost 0 8.931 * * [simplify]: Extracting # 7 : cost 0 8.931 * * [simplify]: Extracting # 8 : cost 0 8.931 * * [simplify]: Extracting # 9 : cost 0 8.931 * * [simplify]: iteration 0 : 68 enodes (cost 960 ) 8.955 * * [simplify]: Extracting # 0 : cost 0 8.955 * * [simplify]: Extracting # 1 : cost 0 8.956 * * [simplify]: Extracting # 2 : cost 0 8.956 * * [simplify]: Extracting # 3 : cost 0 8.956 * * [simplify]: Extracting # 4 : cost 0 8.956 * * [simplify]: iteration 1 : 139 enodes (cost 898 ) 9.028 * * [simplify]: Extracting # 0 : cost 0 9.028 * * [simplify]: Extracting # 1 : cost 0 9.028 * * [simplify]: Extracting # 2 : cost 0 9.029 * * [simplify]: Extracting # 3 : cost 0 9.029 * * [simplify]: Extracting # 4 : cost 0 9.029 * * [simplify]: iteration 2 : 322 enodes (cost 866 ) 9.366 * * [simplify]: Extracting # 0 : cost 0 9.369 * * [simplify]: Extracting # 1 : cost 0 9.371 * * [simplify]: Extracting # 2 : cost 0 9.374 * * [simplify]: Extracting # 3 : cost 0 9.376 * * [simplify]: Extracting # 4 : cost 0 9.378 * * [simplify]: Extracting # 5 : cost 0 9.380 * * [simplify]: iteration 3 : 1000 enodes (cost 824 ) 11.711 * * [simplify]: Extracting # 0 : cost 0 11.723 * * [simplify]: Extracting # 1 : cost 0 11.726 * * [simplify]: Extracting # 2 : cost 0 11.730 * * [simplify]: Extracting # 3 : cost 0 11.734 * * [simplify]: Extracting # 4 : cost 0 11.738 * * [simplify]: iteration 4 : 4280 enodes (cost 820 ) 14.453 * * [simplify]: Extracting # 0 : cost 0 14.463 * * [simplify]: Extracting # 1 : cost 0 14.472 * * [simplify]: iteration done: 5000 enodes (cost 820 ) 14.473 * [simplify]: Simplified to: (expm1 (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (log1p (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (* (pow a 2) (log (sqrt (atan (fmod a (asin a)))))) (* (pow a 2) (log (sqrt (atan (fmod a (asin a)))))) (* (/ a 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 (atan (fmod a (asin a))) (pow a 2)) (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)) 1 (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (* (pow a 2) (log (sqrt (atan (fmod a (asin a)))))) (exp (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (* (cbrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2))))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (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)))) (pow (atan (fmod a (asin a))) (/ (* a a) 4)) (pow (atan (fmod a (asin a))) (/ (* a a) 4)) (expm1 (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (log1p (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (* (pow a 2) (log (sqrt (atan (fmod a (asin a)))))) (* (pow a 2) (log (sqrt (atan (fmod a (asin a)))))) (* (/ a 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 (atan (fmod a (asin a))) (pow a 2)) (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)) 1 (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (* (pow a 2) (log (sqrt (atan (fmod a (asin a)))))) (exp (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (* (cbrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2))))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (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)))) (pow (atan (fmod a (asin a))) (/ (* a a) 4)) (pow (atan (fmod a (asin a))) (/ (* a a) 4)) (expm1 (fmod a (asin a))) (log1p (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))) (expm1 (fmod a (asin a))) (log1p (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))) (fma (log (atan (fmod a (asin a)))) (fma (* 1/8 (pow a 4)) (log (atan (fmod a (asin a)))) (* (/ a 2) a)) 1) (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (fma (log (atan (fmod a (asin a)))) (fma (* 1/8 (pow a 4)) (log (atan (fmod a (asin a)))) (* (/ a 2) a)) 1) (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 14.474 * * * [progress]: adding candidates to table 14.864 * [progress]: [Phase 3 of 3] Extracting. 14.864 * * [regime]: Finding splitpoints for: (# #) 14.865 * * * [regime-changes]: Trying 2 branch expressions: ((pow (atan (fmod a (asin a))) (* a a)) a) 14.865 * * * * [regimes]: Trying to branch on (pow (atan (fmod a (asin a))) (* a a)) from (# #) 14.895 * * * * [regimes]: Trying to branch on a from (# #) 14.906 * * * [regime]: Found split indices: #