81.192 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.225 * * * [progress]: [2/2] Setting up program. 0.227 * [progress]: [Phase 2 of 3] Improving. 0.228 * [simplify]: Simplifying: (pow (atan (fmod a (asin a))) (* a a)) 0.228 * * [simplify]: Extracting # 0 : cost 0 0.228 * * [simplify]: Extracting # 1 : cost 0 0.228 * * [simplify]: Extracting # 2 : cost 0 0.228 * * [simplify]: Extracting # 3 : cost 0 0.228 * * [simplify]: Extracting # 4 : cost 0 0.228 * * [simplify]: Extracting # 5 : cost 0 0.228 * * [simplify]: iteration 0 : 6 enodes (cost 9 ) 0.229 * * [simplify]: Extracting # 0 : cost 0 0.229 * * [simplify]: Extracting # 1 : cost 0 0.229 * * [simplify]: Extracting # 2 : cost 0 0.229 * * [simplify]: Extracting # 3 : cost 0 0.229 * * [simplify]: Extracting # 4 : cost 0 0.229 * * [simplify]: iteration 1 : 10 enodes (cost 9 ) 0.230 * * [simplify]: Extracting # 0 : cost 0 0.230 * * [simplify]: Extracting # 1 : cost 0 0.230 * * [simplify]: Extracting # 2 : cost 0 0.230 * * [simplify]: Extracting # 3 : cost 0 0.230 * * [simplify]: iteration 2 : 17 enodes (cost 9 ) 0.233 * * [simplify]: Extracting # 0 : cost 0 0.234 * * [simplify]: Extracting # 1 : cost 0 0.234 * * [simplify]: Extracting # 2 : cost 0 0.234 * * [simplify]: Extracting # 3 : cost 0 0.234 * * [simplify]: Extracting # 4 : cost 0 0.234 * * [simplify]: iteration 3 : 41 enodes (cost 9 ) 0.242 * * [simplify]: Extracting # 0 : cost 0 0.242 * * [simplify]: Extracting # 1 : cost 0 0.242 * * [simplify]: Extracting # 2 : cost 0 0.242 * * [simplify]: Extracting # 3 : cost 0 0.242 * * [simplify]: Extracting # 4 : cost 0 0.243 * * [simplify]: Extracting # 5 : cost 0 0.243 * * [simplify]: iteration 4 : 108 enodes (cost 9 ) 0.330 * * [simplify]: Extracting # 0 : cost 0 0.330 * * [simplify]: Extracting # 1 : cost 0 0.331 * * [simplify]: Extracting # 2 : cost 0 0.331 * * [simplify]: Extracting # 3 : cost 0 0.331 * * [simplify]: Extracting # 4 : cost 0 0.332 * * [simplify]: iteration 5 : 452 enodes (cost 9 ) 2.129 * * [simplify]: Extracting # 0 : cost 0 2.136 * * [simplify]: Extracting # 1 : cost 0 2.140 * * [simplify]: Extracting # 2 : cost 0 2.144 * * [simplify]: Extracting # 3 : cost 0 2.148 * * [simplify]: Extracting # 4 : cost 0 2.156 * * [simplify]: iteration 6 : 4178 enodes (cost 9 ) 3.877 * * [simplify]: Extracting # 0 : cost 0 3.889 * * [simplify]: Extracting # 1 : cost 0 3.904 * * [simplify]: Extracting # 2 : cost 0 3.908 * * [simplify]: Extracting # 3 : cost 0 3.913 * * [simplify]: Extracting # 4 : cost 0 3.918 * * [simplify]: iteration done: 5002 enodes (cost 9 ) 3.918 * [simplify]: Simplified to: (pow (atan (fmod a (asin a))) (* a a)) 3.918 * * [progress]: iteration 1 / 4 3.918 * * * [progress]: picking best candidate 3.921 * * * * [pick]: Picked # 3.921 * * * [progress]: localizing error 3.930 * * * [progress]: generating rewritten candidates 3.930 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.933 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 3.934 * * * [progress]: generating series expansions 3.934 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.934 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (* a a)) into (pow (atan (fmod a (asin a))) (pow a 2)) 3.934 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in (a) around 0 3.934 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 3.934 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 3.934 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 3.934 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.934 * [taylor]: Taking taylor expansion of a in a 3.934 * [backup-simplify]: Simplify 0 into 0 3.934 * [backup-simplify]: Simplify 1 into 1 3.934 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 3.934 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 3.934 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 3.934 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 3.935 * [backup-simplify]: Simplify (* 1 1) into 1 3.935 * [backup-simplify]: Simplify (* 1 (log (atan (fmod a (asin a))))) into (log (atan (fmod a (asin a)))) 3.935 * [backup-simplify]: Simplify (exp 0) into 1 3.935 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 3.935 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 3.935 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 3.935 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.935 * [taylor]: Taking taylor expansion of a in a 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify 1 into 1 3.935 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 3.935 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 3.935 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 3.935 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 3.936 * [backup-simplify]: Simplify (* 1 1) into 1 3.936 * [backup-simplify]: Simplify (* 1 (log (atan (fmod a (asin a))))) into (log (atan (fmod a (asin a)))) 3.936 * [backup-simplify]: Simplify (exp 0) into 1 3.936 * [backup-simplify]: Simplify 1 into 1 3.936 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 3.936 * [backup-simplify]: Simplify 0 into 0 3.937 * [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)))) 3.937 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 3.938 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 3.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 3.939 * [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 3.940 * [backup-simplify]: Simplify 0 into 0 3.941 * [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 3.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 3.944 * [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)) 3.944 * [backup-simplify]: Simplify (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) 3.944 * [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))))) 3.945 * [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))) 3.945 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in (a) around 0 3.945 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 3.945 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 3.945 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 3.945 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.945 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.945 * [taylor]: Taking taylor expansion of a in a 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify 1 into 1 3.945 * [backup-simplify]: Simplify (* 1 1) into 1 3.945 * [backup-simplify]: Simplify (/ 1 1) into 1 3.945 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 3.945 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 3.945 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 3.945 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 3.946 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 3.946 * [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))) 3.946 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 3.946 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 3.946 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 3.946 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.946 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.946 * [taylor]: Taking taylor expansion of a in a 3.946 * [backup-simplify]: Simplify 0 into 0 3.946 * [backup-simplify]: Simplify 1 into 1 3.946 * [backup-simplify]: Simplify (* 1 1) into 1 3.946 * [backup-simplify]: Simplify (/ 1 1) into 1 3.946 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 3.946 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 3.947 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 3.947 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 3.947 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 3.947 * [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))) 3.947 * [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))) 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify 0 into 0 3.947 * [backup-simplify]: Simplify 0 into 0 3.948 * [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)) 3.948 * [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))) 3.948 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in (a) around 0 3.948 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 3.948 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 3.948 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 3.948 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.948 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.948 * [taylor]: Taking taylor expansion of a in a 3.948 * [backup-simplify]: Simplify 0 into 0 3.948 * [backup-simplify]: Simplify 1 into 1 3.949 * [backup-simplify]: Simplify (* 1 1) into 1 3.949 * [backup-simplify]: Simplify (/ 1 1) into 1 3.949 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 3.949 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 3.949 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 3.949 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 3.950 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 3.950 * [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))) 3.950 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 3.950 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 3.950 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 3.950 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.950 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.950 * [taylor]: Taking taylor expansion of a in a 3.950 * [backup-simplify]: Simplify 0 into 0 3.950 * [backup-simplify]: Simplify 1 into 1 3.951 * [backup-simplify]: Simplify (* 1 1) into 1 3.951 * [backup-simplify]: Simplify (/ 1 1) into 1 3.951 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 3.951 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 3.951 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 3.952 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 3.952 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 3.952 * [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))) 3.953 * [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))) 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [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)) 3.953 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 3.954 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 3.954 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 3.954 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 3.954 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 3.954 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 3.954 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 3.954 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 3.955 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 3.955 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 3.955 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 3.955 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 3.955 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 3.955 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 3.955 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 3.955 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify 0 into 0 3.956 * [backup-simplify]: Simplify 0 into 0 3.956 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 3.956 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 3.956 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 3.956 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 3.956 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 3.956 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 3.957 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 3.957 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 3.957 * [backup-simplify]: Simplify 0 into 0 3.957 * [backup-simplify]: Simplify 0 into 0 3.957 * [backup-simplify]: Simplify 0 into 0 3.957 * [backup-simplify]: Simplify 0 into 0 3.957 * [backup-simplify]: Simplify 0 into 0 3.957 * [backup-simplify]: Simplify 0 into 0 3.957 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 3.957 * * * [progress]: simplifying candidates 3.958 * [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)) 3.959 * * [simplify]: Extracting # 0 : cost 0 3.959 * * [simplify]: Extracting # 1 : cost 0 3.960 * * [simplify]: Extracting # 2 : cost 0 3.960 * * [simplify]: Extracting # 3 : cost 0 3.960 * * [simplify]: Extracting # 4 : cost 0 3.960 * * [simplify]: Extracting # 5 : cost 0 3.960 * * [simplify]: Extracting # 6 : cost 0 3.960 * * [simplify]: Extracting # 7 : cost 0 3.960 * * [simplify]: Extracting # 8 : cost 0 3.960 * * [simplify]: iteration 0 : 46 enodes (cost 322 ) 3.972 * * [simplify]: Extracting # 0 : cost 0 3.972 * * [simplify]: Extracting # 1 : cost 0 3.972 * * [simplify]: Extracting # 2 : cost 0 3.972 * * [simplify]: Extracting # 3 : cost 0 3.972 * * [simplify]: Extracting # 4 : cost 0 3.972 * * [simplify]: iteration 1 : 113 enodes (cost 308 ) 4.032 * * [simplify]: Extracting # 0 : cost 0 4.033 * * [simplify]: Extracting # 1 : cost 0 4.033 * * [simplify]: Extracting # 2 : cost 0 4.033 * * [simplify]: Extracting # 3 : cost 0 4.034 * * [simplify]: Extracting # 4 : cost 0 4.034 * * [simplify]: iteration 2 : 532 enodes (cost 290 ) 6.039 * * [simplify]: Extracting # 0 : cost 0 6.052 * * [simplify]: Extracting # 1 : cost 0 6.062 * * [simplify]: Extracting # 2 : cost 0 6.075 * * [simplify]: Extracting # 3 : cost 0 6.086 * * [simplify]: Extracting # 4 : cost 0 6.095 * * [simplify]: iteration 3 : 4951 enodes (cost 288 ) 9.862 * * [simplify]: Extracting # 0 : cost 0 9.873 * * [simplify]: Extracting # 1 : cost 0 9.883 * * [simplify]: Extracting # 2 : cost 0 9.893 * * [simplify]: iteration done: 5000 enodes (cost 288 ) 9.893 * [simplify]: Simplified to: (* (* a a) (log (atan (fmod a (asin a))))) (* (* a a) (log (atan (fmod a (asin 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)) (* (* a a) (log (atan (fmod a (asin 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))) (+ 1 (* (log (atan (fmod a (asin a)))) (+ (* (* 1/2 (pow a 4)) (log (atan (fmod a (asin a))))) (* a a)))) (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)) 9.894 * * * [progress]: adding candidates to table 10.020 * * [progress]: iteration 2 / 4 10.020 * * * [progress]: picking best candidate 10.024 * * * * [pick]: Picked # 10.024 * * * [progress]: localizing error 10.051 * * * [progress]: generating rewritten candidates 10.051 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 10.059 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 10.074 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 10.075 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 10.078 * * * [progress]: generating series expansions 10.078 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 10.078 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (/ (* a a) 2)) into (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) 10.078 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 10.078 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 10.078 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 10.078 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 10.078 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 10.078 * [taylor]: Taking taylor expansion of 1/2 in a 10.078 * [backup-simplify]: Simplify 1/2 into 1/2 10.078 * [taylor]: Taking taylor expansion of (pow a 2) in a 10.078 * [taylor]: Taking taylor expansion of a in a 10.078 * [backup-simplify]: Simplify 0 into 0 10.078 * [backup-simplify]: Simplify 1 into 1 10.078 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 10.078 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 10.079 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 10.079 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 10.080 * [backup-simplify]: Simplify (* 1 1) into 1 10.080 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.080 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 10.080 * [backup-simplify]: Simplify (exp 0) into 1 10.080 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 10.080 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 10.080 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 10.080 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 10.080 * [taylor]: Taking taylor expansion of 1/2 in a 10.080 * [backup-simplify]: Simplify 1/2 into 1/2 10.080 * [taylor]: Taking taylor expansion of (pow a 2) in a 10.080 * [taylor]: Taking taylor expansion of a in a 10.080 * [backup-simplify]: Simplify 0 into 0 10.081 * [backup-simplify]: Simplify 1 into 1 10.081 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 10.081 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 10.081 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 10.081 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 10.081 * [backup-simplify]: Simplify (* 1 1) into 1 10.082 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.082 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 10.082 * [backup-simplify]: Simplify (exp 0) into 1 10.082 * [backup-simplify]: Simplify 1 into 1 10.083 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 10.083 * [backup-simplify]: Simplify 0 into 0 10.084 * [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))))) 10.084 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 10.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 10.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 10.090 * [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 10.090 * [backup-simplify]: Simplify 0 into 0 10.092 * [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 10.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.094 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 10.099 * [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)) 10.099 * [backup-simplify]: Simplify (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 10.100 * [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))))) 10.100 * [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))) 10.100 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 10.101 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 10.101 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 10.101 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 10.101 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 10.101 * [taylor]: Taking taylor expansion of 1/2 in a 10.101 * [backup-simplify]: Simplify 1/2 into 1/2 10.101 * [taylor]: Taking taylor expansion of (pow a 2) in a 10.101 * [taylor]: Taking taylor expansion of a in a 10.101 * [backup-simplify]: Simplify 0 into 0 10.101 * [backup-simplify]: Simplify 1 into 1 10.101 * [backup-simplify]: Simplify (* 1 1) into 1 10.102 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.102 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 10.102 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 10.102 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 10.102 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 10.102 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 10.103 * [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)))) 10.103 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 10.103 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 10.103 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 10.103 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 10.103 * [taylor]: Taking taylor expansion of 1/2 in a 10.103 * [backup-simplify]: Simplify 1/2 into 1/2 10.103 * [taylor]: Taking taylor expansion of (pow a 2) in a 10.103 * [taylor]: Taking taylor expansion of a in a 10.103 * [backup-simplify]: Simplify 0 into 0 10.103 * [backup-simplify]: Simplify 1 into 1 10.104 * [backup-simplify]: Simplify (* 1 1) into 1 10.104 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.104 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 10.104 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 10.105 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 10.105 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 10.105 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 10.106 * [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)))) 10.106 * [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)))) 10.106 * [backup-simplify]: Simplify 0 into 0 10.106 * [backup-simplify]: Simplify 0 into 0 10.106 * [backup-simplify]: Simplify 0 into 0 10.106 * [backup-simplify]: Simplify 0 into 0 10.106 * [backup-simplify]: Simplify 0 into 0 10.106 * [backup-simplify]: Simplify 0 into 0 10.107 * [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))))))) 10.107 * [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))) 10.107 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 10.107 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 10.107 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 10.107 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 10.107 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 10.108 * [taylor]: Taking taylor expansion of 1/2 in a 10.108 * [backup-simplify]: Simplify 1/2 into 1/2 10.108 * [taylor]: Taking taylor expansion of (pow a 2) in a 10.108 * [taylor]: Taking taylor expansion of a in a 10.108 * [backup-simplify]: Simplify 0 into 0 10.108 * [backup-simplify]: Simplify 1 into 1 10.108 * [backup-simplify]: Simplify (* 1 1) into 1 10.109 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.109 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 10.109 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 10.109 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 10.109 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 10.109 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 10.110 * [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)))) 10.110 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 10.110 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 10.110 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 10.110 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 10.110 * [taylor]: Taking taylor expansion of 1/2 in a 10.110 * [backup-simplify]: Simplify 1/2 into 1/2 10.110 * [taylor]: Taking taylor expansion of (pow a 2) in a 10.110 * [taylor]: Taking taylor expansion of a in a 10.110 * [backup-simplify]: Simplify 0 into 0 10.110 * [backup-simplify]: Simplify 1 into 1 10.110 * [backup-simplify]: Simplify (* 1 1) into 1 10.111 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.111 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 10.111 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 10.111 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 10.111 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 10.112 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 10.112 * [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)))) 10.112 * [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)))) 10.112 * [backup-simplify]: Simplify 0 into 0 10.112 * [backup-simplify]: Simplify 0 into 0 10.112 * [backup-simplify]: Simplify 0 into 0 10.112 * [backup-simplify]: Simplify 0 into 0 10.112 * [backup-simplify]: Simplify 0 into 0 10.112 * [backup-simplify]: Simplify 0 into 0 10.113 * [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))))))) 10.113 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 10.113 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (/ (* a a) 2)) into (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) 10.113 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 10.113 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 10.113 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 10.113 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 10.113 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 10.113 * [taylor]: Taking taylor expansion of 1/2 in a 10.113 * [backup-simplify]: Simplify 1/2 into 1/2 10.113 * [taylor]: Taking taylor expansion of (pow a 2) in a 10.113 * [taylor]: Taking taylor expansion of a in a 10.113 * [backup-simplify]: Simplify 0 into 0 10.113 * [backup-simplify]: Simplify 1 into 1 10.113 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 10.113 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 10.113 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 10.113 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 10.114 * [backup-simplify]: Simplify (* 1 1) into 1 10.114 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.114 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 10.114 * [backup-simplify]: Simplify (exp 0) into 1 10.114 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 10.114 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 10.114 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 10.114 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 10.114 * [taylor]: Taking taylor expansion of 1/2 in a 10.114 * [backup-simplify]: Simplify 1/2 into 1/2 10.114 * [taylor]: Taking taylor expansion of (pow a 2) in a 10.114 * [taylor]: Taking taylor expansion of a in a 10.114 * [backup-simplify]: Simplify 0 into 0 10.114 * [backup-simplify]: Simplify 1 into 1 10.114 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 10.114 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 10.114 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 10.115 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 10.115 * [backup-simplify]: Simplify (* 1 1) into 1 10.115 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 10.115 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 10.115 * [backup-simplify]: Simplify (exp 0) into 1 10.115 * [backup-simplify]: Simplify 1 into 1 10.116 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 10.116 * [backup-simplify]: Simplify 0 into 0 10.117 * [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))))) 10.117 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 10.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 10.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 10.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 10.120 * [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 10.120 * [backup-simplify]: Simplify 0 into 0 10.121 * [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 10.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 10.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 10.124 * [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)) 10.125 * [backup-simplify]: Simplify (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 10.125 * [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))))) 10.125 * [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))) 10.125 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 10.125 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 10.125 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 10.125 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 10.125 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 10.125 * [taylor]: Taking taylor expansion of 1/2 in a 10.125 * [backup-simplify]: Simplify 1/2 into 1/2 10.125 * [taylor]: Taking taylor expansion of (pow a 2) in a 10.125 * [taylor]: Taking taylor expansion of a in a 10.126 * [backup-simplify]: Simplify 0 into 0 10.126 * [backup-simplify]: Simplify 1 into 1 10.126 * [backup-simplify]: Simplify (* 1 1) into 1 10.126 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.126 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 10.126 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 10.126 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 10.126 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 10.126 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 10.127 * [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)))) 10.127 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 10.127 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 10.127 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 10.127 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 10.127 * [taylor]: Taking taylor expansion of 1/2 in a 10.127 * [backup-simplify]: Simplify 1/2 into 1/2 10.127 * [taylor]: Taking taylor expansion of (pow a 2) in a 10.127 * [taylor]: Taking taylor expansion of a in a 10.127 * [backup-simplify]: Simplify 0 into 0 10.127 * [backup-simplify]: Simplify 1 into 1 10.127 * [backup-simplify]: Simplify (* 1 1) into 1 10.127 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.127 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 10.127 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 10.128 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 10.128 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 10.128 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 10.128 * [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)))) 10.128 * [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)))) 10.128 * [backup-simplify]: Simplify 0 into 0 10.128 * [backup-simplify]: Simplify 0 into 0 10.128 * [backup-simplify]: Simplify 0 into 0 10.128 * [backup-simplify]: Simplify 0 into 0 10.128 * [backup-simplify]: Simplify 0 into 0 10.128 * [backup-simplify]: Simplify 0 into 0 10.129 * [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))))))) 10.129 * [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))) 10.129 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 10.129 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 10.129 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 10.129 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 10.129 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 10.129 * [taylor]: Taking taylor expansion of 1/2 in a 10.129 * [backup-simplify]: Simplify 1/2 into 1/2 10.129 * [taylor]: Taking taylor expansion of (pow a 2) in a 10.129 * [taylor]: Taking taylor expansion of a in a 10.129 * [backup-simplify]: Simplify 0 into 0 10.129 * [backup-simplify]: Simplify 1 into 1 10.129 * [backup-simplify]: Simplify (* 1 1) into 1 10.130 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.130 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 10.130 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 10.130 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 10.130 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 10.130 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 10.130 * [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)))) 10.130 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 10.130 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 10.130 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 10.130 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 10.130 * [taylor]: Taking taylor expansion of 1/2 in a 10.130 * [backup-simplify]: Simplify 1/2 into 1/2 10.130 * [taylor]: Taking taylor expansion of (pow a 2) in a 10.130 * [taylor]: Taking taylor expansion of a in a 10.130 * [backup-simplify]: Simplify 0 into 0 10.130 * [backup-simplify]: Simplify 1 into 1 10.131 * [backup-simplify]: Simplify (* 1 1) into 1 10.131 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 10.131 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 10.131 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 10.131 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 10.131 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 10.131 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 10.132 * [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)))) 10.132 * [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)))) 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [backup-simplify]: Simplify 0 into 0 10.132 * [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))))))) 10.132 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 10.132 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 10.132 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 10.132 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 10.132 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 10.133 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 10.133 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 10.133 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 10.133 * [backup-simplify]: Simplify 0 into 0 10.133 * [backup-simplify]: Simplify 0 into 0 10.133 * [backup-simplify]: Simplify 0 into 0 10.133 * [backup-simplify]: Simplify 0 into 0 10.133 * [backup-simplify]: Simplify 0 into 0 10.133 * [backup-simplify]: Simplify 0 into 0 10.133 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 10.133 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 10.133 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 10.133 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 10.133 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 10.133 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 10.133 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 10.133 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 10.133 * [backup-simplify]: Simplify 0 into 0 10.133 * [backup-simplify]: Simplify 0 into 0 10.133 * [backup-simplify]: Simplify 0 into 0 10.133 * [backup-simplify]: Simplify 0 into 0 10.133 * [backup-simplify]: Simplify 0 into 0 10.133 * [backup-simplify]: Simplify 0 into 0 10.134 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 10.134 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 10.134 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 10.134 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 10.134 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 10.134 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 10.134 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 10.134 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 10.134 * [backup-simplify]: Simplify 0 into 0 10.134 * [backup-simplify]: Simplify 0 into 0 10.134 * [backup-simplify]: Simplify 0 into 0 10.134 * [backup-simplify]: Simplify 0 into 0 10.134 * [backup-simplify]: Simplify 0 into 0 10.134 * [backup-simplify]: Simplify 0 into 0 10.134 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 10.134 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 10.134 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 10.134 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 10.134 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 10.134 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 10.134 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 10.135 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 10.135 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 10.135 * [backup-simplify]: Simplify 0 into 0 10.135 * [backup-simplify]: Simplify 0 into 0 10.135 * [backup-simplify]: Simplify 0 into 0 10.135 * [backup-simplify]: Simplify 0 into 0 10.135 * [backup-simplify]: Simplify 0 into 0 10.135 * [backup-simplify]: Simplify 0 into 0 10.135 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 10.135 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 10.135 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 10.135 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 10.135 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 10.135 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 10.135 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 10.135 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 10.135 * [backup-simplify]: Simplify 0 into 0 10.135 * [backup-simplify]: Simplify 0 into 0 10.135 * [backup-simplify]: Simplify 0 into 0 10.135 * [backup-simplify]: Simplify 0 into 0 10.135 * [backup-simplify]: Simplify 0 into 0 10.135 * [backup-simplify]: Simplify 0 into 0 10.135 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 10.136 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 10.136 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 10.136 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 10.136 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 10.136 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 10.136 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 10.136 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 10.136 * [backup-simplify]: Simplify 0 into 0 10.136 * [backup-simplify]: Simplify 0 into 0 10.136 * [backup-simplify]: Simplify 0 into 0 10.136 * [backup-simplify]: Simplify 0 into 0 10.136 * [backup-simplify]: Simplify 0 into 0 10.136 * [backup-simplify]: Simplify 0 into 0 10.136 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 10.136 * * * [progress]: simplifying candidates 10.137 * [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)) 10.138 * * [simplify]: Extracting # 0 : cost 0 10.138 * * [simplify]: Extracting # 1 : cost 0 10.139 * * [simplify]: Extracting # 2 : cost 0 10.139 * * [simplify]: Extracting # 3 : cost 0 10.139 * * [simplify]: Extracting # 4 : cost 0 10.139 * * [simplify]: Extracting # 5 : cost 0 10.139 * * [simplify]: Extracting # 6 : cost 0 10.139 * * [simplify]: Extracting # 7 : cost 0 10.139 * * [simplify]: Extracting # 8 : cost 0 10.139 * * [simplify]: Extracting # 9 : cost 0 10.139 * * [simplify]: Extracting # 10 : cost 0 10.139 * * [simplify]: iteration 0 : 64 enodes (cost 892 ) 10.165 * * [simplify]: Extracting # 0 : cost 0 10.166 * * [simplify]: Extracting # 1 : cost 0 10.166 * * [simplify]: Extracting # 2 : cost 0 10.166 * * [simplify]: Extracting # 3 : cost 0 10.167 * * [simplify]: Extracting # 4 : cost 0 10.167 * * [simplify]: iteration 1 : 167 enodes (cost 840 ) 10.276 * * [simplify]: Extracting # 0 : cost 0 10.278 * * [simplify]: Extracting # 1 : cost 0 10.279 * * [simplify]: Extracting # 2 : cost 0 10.280 * * [simplify]: Extracting # 3 : cost 0 10.281 * * [simplify]: Extracting # 4 : cost 0 10.281 * * [simplify]: iteration 2 : 659 enodes (cost 800 ) 10.528 * * [simplify]: Extracting # 0 : cost 0 10.534 * * [simplify]: Extracting # 1 : cost 0 10.540 * * [simplify]: Extracting # 2 : cost 0 10.547 * * [simplify]: Extracting # 3 : cost 0 10.556 * * [simplify]: Extracting # 4 : cost 0 10.575 * * [simplify]: iteration done: 5000 enodes (cost 784 ) 10.576 * [simplify]: Simplified to: (* (/ (* a a) 2) (log (atan (fmod a (asin a))))) (* (/ (* a a) 2) (log (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))) (* 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)) 1 (pow (atan (fmod a (asin a))) (/ (pow a 2) 2)) (* (/ (* a a) 2) (log (atan (fmod a (asin a))))) (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 (pow (atan (fmod a (asin a))) (/ (* a a) 2)) 3) (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))) (/ (pow a 2) 4)) (pow (atan (fmod a (asin a))) (/ (pow a 2) 4)) (* (/ (* a a) 2) (log (atan (fmod a (asin a))))) (* (/ (* a a) 2) (log (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))) (* 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)) 1 (pow (atan (fmod a (asin a))) (/ (pow a 2) 2)) (* (/ (* a a) 2) (log (atan (fmod a (asin a))))) (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 (pow (atan (fmod a (asin a))) (/ (* a a) 2)) 3) (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))) (/ (pow a 2) 4)) (pow (atan (fmod a (asin a))) (/ (pow a 2) 4)) (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) (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (+ (* (log (atan (fmod a (asin a)))) (+ (* (* 1/8 (pow a 4)) (log (atan (fmod a (asin a))))) (* 1/2 (* a 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)) 10.577 * * * [progress]: adding candidates to table 10.922 * [progress]: [Phase 3 of 3] Extracting. 10.922 * * [regime]: Finding splitpoints for: (# #) 10.922 * * * [regime-changes]: Trying 2 branch expressions: ((pow (atan (fmod a (asin a))) (* a a)) a) 10.922 * * * * [regimes]: Trying to branch on (pow (atan (fmod a (asin a))) (* a a)) from (# #) 10.950 * * * * [regimes]: Trying to branch on a from (# #) 10.962 * * * [regime]: Found split indices: #