83.520 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.262 * * * [progress]: [2/2] Setting up program. 0.265 * [progress]: [Phase 2 of 3] Improving. 0.266 * [simplify]: Simplifying: (pow (atan (fmod a (asin a))) (* a a)) 0.266 * * [simplify]: Extracting # 0 : cost 0 0.266 * * [simplify]: Extracting # 1 : cost 0 0.266 * * [simplify]: Extracting # 2 : cost 0 0.266 * * [simplify]: Extracting # 3 : cost 0 0.266 * * [simplify]: Extracting # 4 : cost 0 0.266 * * [simplify]: Extracting # 5 : cost 0 0.266 * * [simplify]: iteration 0 : 6 enodes (cost 9 ) 0.268 * * [simplify]: Extracting # 0 : cost 0 0.268 * * [simplify]: Extracting # 1 : cost 0 0.268 * * [simplify]: Extracting # 2 : cost 0 0.268 * * [simplify]: Extracting # 3 : cost 0 0.268 * * [simplify]: Extracting # 4 : cost 0 0.268 * * [simplify]: iteration 1 : 10 enodes (cost 9 ) 0.271 * * [simplify]: Extracting # 0 : cost 0 0.271 * * [simplify]: Extracting # 1 : cost 0 0.271 * * [simplify]: Extracting # 2 : cost 0 0.271 * * [simplify]: Extracting # 3 : cost 0 0.271 * * [simplify]: iteration 2 : 17 enodes (cost 9 ) 0.322 * * [simplify]: Extracting # 0 : cost 0 0.322 * * [simplify]: Extracting # 1 : cost 0 0.322 * * [simplify]: Extracting # 2 : cost 0 0.322 * * [simplify]: Extracting # 3 : cost 0 0.322 * * [simplify]: Extracting # 4 : cost 0 0.322 * * [simplify]: iteration 3 : 41 enodes (cost 9 ) 0.338 * * [simplify]: Extracting # 0 : cost 0 0.338 * * [simplify]: Extracting # 1 : cost 0 0.339 * * [simplify]: Extracting # 2 : cost 0 0.339 * * [simplify]: Extracting # 3 : cost 0 0.339 * * [simplify]: Extracting # 4 : cost 0 0.339 * * [simplify]: iteration 4 : 104 enodes (cost 9 ) 0.394 * * [simplify]: Extracting # 0 : cost 0 0.395 * * [simplify]: Extracting # 1 : cost 0 0.395 * * [simplify]: Extracting # 2 : cost 0 0.395 * * [simplify]: Extracting # 3 : cost 0 0.396 * * [simplify]: Extracting # 4 : cost 0 0.396 * * [simplify]: Extracting # 5 : cost 0 0.397 * * [simplify]: iteration 5 : 274 enodes (cost 9 ) 0.686 * * [simplify]: Extracting # 0 : cost 0 0.688 * * [simplify]: Extracting # 1 : cost 0 0.689 * * [simplify]: Extracting # 2 : cost 0 0.690 * * [simplify]: Extracting # 3 : cost 0 0.691 * * [simplify]: Extracting # 4 : cost 0 0.693 * * [simplify]: iteration 6 : 870 enodes (cost 9 ) 2.987 * * [simplify]: Extracting # 0 : cost 0 2.991 * * [simplify]: Extracting # 1 : cost 0 2.993 * * [simplify]: Extracting # 2 : cost 0 2.995 * * [simplify]: Extracting # 3 : cost 0 2.997 * * [simplify]: Extracting # 4 : cost 0 2.999 * * [simplify]: Extracting # 5 : cost 0 3.001 * * [simplify]: iteration 7 : 3394 enodes (cost 9 ) 5.059 * * [simplify]: Extracting # 0 : cost 0 5.066 * * [simplify]: Extracting # 1 : cost 0 5.070 * * [simplify]: Extracting # 2 : cost 0 5.074 * * [simplify]: Extracting # 3 : cost 0 5.078 * * [simplify]: iteration done: 5001 enodes (cost 9 ) 5.078 * [simplify]: Simplified to: (pow (atan (fmod a (asin a))) (* a a)) 5.078 * * [progress]: iteration 1 / 4 5.078 * * * [progress]: picking best candidate 5.080 * * * * [pick]: Picked # 5.080 * * * [progress]: localizing error 5.090 * * * [progress]: generating rewritten candidates 5.090 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 5.095 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 5.096 * * * [progress]: generating series expansions 5.097 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.097 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (* a a)) into (pow (atan (fmod a (asin a))) (pow a 2)) 5.097 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in (a) around 0 5.097 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 5.097 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 5.097 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 5.097 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.097 * [taylor]: Taking taylor expansion of a in a 5.097 * [backup-simplify]: Simplify 0 into 0 5.097 * [backup-simplify]: Simplify 1 into 1 5.097 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 5.097 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 5.099 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 5.099 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 5.100 * [backup-simplify]: Simplify (* 1 1) into 1 5.100 * [backup-simplify]: Simplify (* 1 (log (atan (fmod a (asin a))))) into (log (atan (fmod a (asin a)))) 5.100 * [backup-simplify]: Simplify (exp 0) into 1 5.100 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 5.100 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 5.100 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 5.100 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.100 * [taylor]: Taking taylor expansion of a in a 5.100 * [backup-simplify]: Simplify 0 into 0 5.100 * [backup-simplify]: Simplify 1 into 1 5.100 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 5.100 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 5.100 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 5.100 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 5.101 * [backup-simplify]: Simplify (* 1 1) into 1 5.101 * [backup-simplify]: Simplify (* 1 (log (atan (fmod a (asin a))))) into (log (atan (fmod a (asin a)))) 5.101 * [backup-simplify]: Simplify (exp 0) into 1 5.101 * [backup-simplify]: Simplify 1 into 1 5.102 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 5.102 * [backup-simplify]: Simplify 0 into 0 5.103 * [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)))) 5.104 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 5.105 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 5.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 5.108 * [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 5.108 * [backup-simplify]: Simplify 0 into 0 5.109 * [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 5.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 5.113 * [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)) 5.113 * [backup-simplify]: Simplify (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) 5.114 * [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))))) 5.114 * [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))) 5.114 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in (a) around 0 5.114 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 5.114 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 5.114 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 5.114 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.114 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.114 * [taylor]: Taking taylor expansion of a in a 5.114 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify 1 into 1 5.114 * [backup-simplify]: Simplify (* 1 1) into 1 5.114 * [backup-simplify]: Simplify (/ 1 1) into 1 5.114 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 5.115 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 5.115 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 5.115 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 5.115 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 5.115 * [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))) 5.115 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 5.115 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 5.115 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 5.115 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.115 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.115 * [taylor]: Taking taylor expansion of a in a 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 1 into 1 5.115 * [backup-simplify]: Simplify (* 1 1) into 1 5.116 * [backup-simplify]: Simplify (/ 1 1) into 1 5.116 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 5.116 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 5.116 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 5.116 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 5.116 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 5.116 * [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))) 5.117 * [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))) 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [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)) 5.117 * [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))) 5.117 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in (a) around 0 5.117 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 5.117 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 5.117 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 5.117 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.117 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.117 * [taylor]: Taking taylor expansion of a in a 5.117 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify 1 into 1 5.118 * [backup-simplify]: Simplify (* 1 1) into 1 5.118 * [backup-simplify]: Simplify (/ 1 1) into 1 5.118 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 5.118 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 5.118 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 5.118 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 5.118 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 5.119 * [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))) 5.119 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 5.119 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 5.119 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 5.119 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.119 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.119 * [taylor]: Taking taylor expansion of a in a 5.119 * [backup-simplify]: Simplify 0 into 0 5.119 * [backup-simplify]: Simplify 1 into 1 5.119 * [backup-simplify]: Simplify (* 1 1) into 1 5.119 * [backup-simplify]: Simplify (/ 1 1) into 1 5.119 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 5.119 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 5.120 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 5.120 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 5.120 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 5.120 * [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))) 5.120 * [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))) 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify 0 into 0 5.120 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [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)) 5.121 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 5.121 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.121 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 5.121 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 5.121 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.121 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 5.121 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.121 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify 0 into 0 5.121 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.121 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 5.122 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 5.122 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 5.122 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 5.122 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 5.122 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 5.122 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify 0 into 0 5.122 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 5.122 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 5.122 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 5.122 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 5.122 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 5.122 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 5.123 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 5.123 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 5.123 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify 0 into 0 5.123 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 5.123 * * * [progress]: simplifying candidates 5.124 * [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)) 5.124 * * [simplify]: Extracting # 0 : cost 0 5.124 * * [simplify]: Extracting # 1 : cost 0 5.124 * * [simplify]: Extracting # 2 : cost 0 5.124 * * [simplify]: Extracting # 3 : cost 0 5.124 * * [simplify]: Extracting # 4 : cost 0 5.124 * * [simplify]: Extracting # 5 : cost 0 5.124 * * [simplify]: Extracting # 6 : cost 0 5.125 * * [simplify]: Extracting # 7 : cost 0 5.125 * * [simplify]: Extracting # 8 : cost 0 5.125 * * [simplify]: iteration 0 : 46 enodes (cost 322 ) 5.148 * * [simplify]: Extracting # 0 : cost 0 5.148 * * [simplify]: Extracting # 1 : cost 0 5.148 * * [simplify]: Extracting # 2 : cost 0 5.149 * * [simplify]: Extracting # 3 : cost 0 5.149 * * [simplify]: Extracting # 4 : cost 0 5.149 * * [simplify]: iteration 1 : 92 enodes (cost 308 ) 5.177 * * [simplify]: Extracting # 0 : cost 0 5.178 * * [simplify]: Extracting # 1 : cost 0 5.178 * * [simplify]: Extracting # 2 : cost 0 5.178 * * [simplify]: Extracting # 3 : cost 0 5.179 * * [simplify]: Extracting # 4 : cost 0 5.179 * * [simplify]: iteration 2 : 206 enodes (cost 290 ) 5.312 * * [simplify]: Extracting # 0 : cost 0 5.313 * * [simplify]: Extracting # 1 : cost 0 5.313 * * [simplify]: Extracting # 2 : cost 0 5.314 * * [simplify]: Extracting # 3 : cost 0 5.314 * * [simplify]: Extracting # 4 : cost 0 5.315 * * [simplify]: iteration 3 : 600 enodes (cost 288 ) 6.181 * * [simplify]: Extracting # 0 : cost 0 6.184 * * [simplify]: Extracting # 1 : cost 0 6.188 * * [simplify]: Extracting # 2 : cost 0 6.191 * * [simplify]: Extracting # 3 : cost 0 6.196 * * [simplify]: Extracting # 4 : cost 0 6.200 * * [simplify]: iteration 4 : 2179 enodes (cost 288 ) 7.965 * * [simplify]: Extracting # 0 : cost 0 7.971 * * [simplify]: Extracting # 1 : cost 0 7.977 * * [simplify]: Extracting # 2 : cost 0 7.983 * * [simplify]: Extracting # 3 : cost 0 7.989 * * [simplify]: Extracting # 4 : cost 0 7.995 * * [simplify]: iteration done: 5001 enodes (cost 288 ) 7.995 * [simplify]: Simplified to: (* (log (atan (fmod a (asin a)))) (* a a)) (* (log (atan (fmod a (asin a)))) (* a a)) (* a a) (pow (atan (fmod a (asin a))) a) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a)) (pow (cbrt (atan (fmod a (asin a)))) (* a a)) (pow (sqrt (atan (fmod a (asin a)))) (* a a)) (pow (sqrt (atan (fmod a (asin a)))) (* a a)) 1 (pow (atan (fmod a (asin a))) (* a a)) (* (log (atan (fmod a (asin a)))) (* a a)) (exp (pow (atan (fmod a (asin a))) (* a a))) (* (cbrt (pow (atan (fmod a (asin a))) (* a a))) (cbrt (pow (atan (fmod a (asin a))) (* a a)))) (cbrt (pow (atan (fmod a (asin a))) (* a a))) (pow (pow (atan (fmod a (asin a))) (* a a)) 3) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (pow (fmod a (asin a)) 3) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (+ (* (log (atan (fmod a (asin a)))) (+ (* a a) (* (* 1/2 (pow a 4)) (log (atan (fmod a (asin a))))))) 1) (pow (atan (fmod a (asin a))) (* a a)) (pow (atan (fmod a (asin a))) (* a a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 7.996 * * * [progress]: adding candidates to table 8.100 * * [progress]: iteration 2 / 4 8.100 * * * [progress]: picking best candidate 8.104 * * * * [pick]: Picked # 8.105 * * * [progress]: localizing error 8.130 * * * [progress]: generating rewritten candidates 8.130 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.139 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 8.147 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 8.148 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 8.151 * * * [progress]: generating series expansions 8.151 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.151 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (/ (* a a) 2)) into (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) 8.151 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 8.151 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 8.151 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 8.151 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 8.151 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 8.151 * [taylor]: Taking taylor expansion of 1/2 in a 8.151 * [backup-simplify]: Simplify 1/2 into 1/2 8.151 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.151 * [taylor]: Taking taylor expansion of a in a 8.151 * [backup-simplify]: Simplify 0 into 0 8.151 * [backup-simplify]: Simplify 1 into 1 8.151 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 8.151 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 8.152 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 8.152 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 8.152 * [backup-simplify]: Simplify (* 1 1) into 1 8.153 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.153 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 8.153 * [backup-simplify]: Simplify (exp 0) into 1 8.153 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 8.153 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 8.153 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 8.153 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 8.153 * [taylor]: Taking taylor expansion of 1/2 in a 8.153 * [backup-simplify]: Simplify 1/2 into 1/2 8.153 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.153 * [taylor]: Taking taylor expansion of a in a 8.153 * [backup-simplify]: Simplify 0 into 0 8.153 * [backup-simplify]: Simplify 1 into 1 8.154 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 8.154 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 8.154 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 8.154 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 8.154 * [backup-simplify]: Simplify (* 1 1) into 1 8.155 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.155 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 8.155 * [backup-simplify]: Simplify (exp 0) into 1 8.155 * [backup-simplify]: Simplify 1 into 1 8.157 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 8.157 * [backup-simplify]: Simplify 0 into 0 8.158 * [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))))) 8.158 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 8.159 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 8.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 8.163 * [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 8.164 * [backup-simplify]: Simplify 0 into 0 8.166 * [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 8.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 8.172 * [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)) 8.172 * [backup-simplify]: Simplify (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 8.173 * [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))))) 8.174 * [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))) 8.174 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 8.174 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 8.174 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 8.174 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 8.174 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.174 * [taylor]: Taking taylor expansion of 1/2 in a 8.174 * [backup-simplify]: Simplify 1/2 into 1/2 8.174 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.174 * [taylor]: Taking taylor expansion of a in a 8.174 * [backup-simplify]: Simplify 0 into 0 8.174 * [backup-simplify]: Simplify 1 into 1 8.174 * [backup-simplify]: Simplify (* 1 1) into 1 8.175 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.175 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 8.175 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 8.175 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 8.175 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 8.176 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 8.176 * [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)))) 8.176 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 8.176 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 8.176 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 8.176 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.176 * [taylor]: Taking taylor expansion of 1/2 in a 8.176 * [backup-simplify]: Simplify 1/2 into 1/2 8.176 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.176 * [taylor]: Taking taylor expansion of a in a 8.176 * [backup-simplify]: Simplify 0 into 0 8.176 * [backup-simplify]: Simplify 1 into 1 8.177 * [backup-simplify]: Simplify (* 1 1) into 1 8.177 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.177 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 8.177 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 8.177 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 8.178 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 8.178 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 8.178 * [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)))) 8.179 * [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)))) 8.179 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify 0 into 0 8.180 * [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))))))) 8.180 * [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))) 8.180 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 8.180 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 8.180 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 8.180 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 8.180 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.180 * [taylor]: Taking taylor expansion of 1/2 in a 8.180 * [backup-simplify]: Simplify 1/2 into 1/2 8.180 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.180 * [taylor]: Taking taylor expansion of a in a 8.180 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify 1 into 1 8.181 * [backup-simplify]: Simplify (* 1 1) into 1 8.181 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.181 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 8.181 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 8.181 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 8.181 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 8.182 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 8.182 * [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)))) 8.182 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 8.182 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 8.182 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 8.182 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.182 * [taylor]: Taking taylor expansion of 1/2 in a 8.182 * [backup-simplify]: Simplify 1/2 into 1/2 8.182 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.182 * [taylor]: Taking taylor expansion of a in a 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify 1 into 1 8.182 * [backup-simplify]: Simplify (* 1 1) into 1 8.182 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.183 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 8.183 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 8.183 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 8.183 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 8.183 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 8.183 * [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)))) 8.183 * [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)))) 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify 0 into 0 8.184 * [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))))))) 8.184 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 8.184 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (/ (* a a) 2)) into (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) 8.184 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 8.184 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 8.184 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 8.184 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 8.184 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 8.184 * [taylor]: Taking taylor expansion of 1/2 in a 8.184 * [backup-simplify]: Simplify 1/2 into 1/2 8.184 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.184 * [taylor]: Taking taylor expansion of a in a 8.184 * [backup-simplify]: Simplify 0 into 0 8.184 * [backup-simplify]: Simplify 1 into 1 8.184 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 8.184 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 8.184 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 8.184 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 8.185 * [backup-simplify]: Simplify (* 1 1) into 1 8.185 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.185 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 8.185 * [backup-simplify]: Simplify (exp 0) into 1 8.185 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 8.185 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 8.185 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 8.185 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 8.185 * [taylor]: Taking taylor expansion of 1/2 in a 8.185 * [backup-simplify]: Simplify 1/2 into 1/2 8.185 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.185 * [taylor]: Taking taylor expansion of a in a 8.185 * [backup-simplify]: Simplify 0 into 0 8.185 * [backup-simplify]: Simplify 1 into 1 8.185 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 8.185 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 8.185 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 8.186 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 8.186 * [backup-simplify]: Simplify (* 1 1) into 1 8.186 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 8.186 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 8.186 * [backup-simplify]: Simplify (exp 0) into 1 8.186 * [backup-simplify]: Simplify 1 into 1 8.187 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 8.187 * [backup-simplify]: Simplify 0 into 0 8.188 * [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))))) 8.188 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 8.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 8.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 8.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 8.191 * [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 8.191 * [backup-simplify]: Simplify 0 into 0 8.192 * [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 8.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 8.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 8.196 * [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)) 8.196 * [backup-simplify]: Simplify (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 8.197 * [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))))) 8.197 * [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))) 8.197 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 8.197 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 8.197 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 8.197 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 8.197 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.197 * [taylor]: Taking taylor expansion of 1/2 in a 8.197 * [backup-simplify]: Simplify 1/2 into 1/2 8.197 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.197 * [taylor]: Taking taylor expansion of a in a 8.197 * [backup-simplify]: Simplify 0 into 0 8.197 * [backup-simplify]: Simplify 1 into 1 8.197 * [backup-simplify]: Simplify (* 1 1) into 1 8.198 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.198 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 8.198 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 8.198 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 8.198 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 8.198 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 8.198 * [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)))) 8.198 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 8.198 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 8.198 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 8.198 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.198 * [taylor]: Taking taylor expansion of 1/2 in a 8.199 * [backup-simplify]: Simplify 1/2 into 1/2 8.199 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.199 * [taylor]: Taking taylor expansion of a in a 8.199 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify 1 into 1 8.199 * [backup-simplify]: Simplify (* 1 1) into 1 8.199 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.199 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 8.199 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 8.199 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 8.199 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 8.199 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 8.200 * [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)))) 8.200 * [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)))) 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [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))))))) 8.201 * [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))) 8.201 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 8.201 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 8.201 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 8.201 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 8.201 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.201 * [taylor]: Taking taylor expansion of 1/2 in a 8.201 * [backup-simplify]: Simplify 1/2 into 1/2 8.201 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.201 * [taylor]: Taking taylor expansion of a in a 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify 1 into 1 8.201 * [backup-simplify]: Simplify (* 1 1) into 1 8.201 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.201 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 8.202 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 8.202 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 8.202 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 8.202 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 8.202 * [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)))) 8.202 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 8.202 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 8.202 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 8.202 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 8.202 * [taylor]: Taking taylor expansion of 1/2 in a 8.202 * [backup-simplify]: Simplify 1/2 into 1/2 8.202 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.202 * [taylor]: Taking taylor expansion of a in a 8.202 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify 1 into 1 8.203 * [backup-simplify]: Simplify (* 1 1) into 1 8.203 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.203 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 8.203 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 8.203 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 8.203 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 8.203 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 8.203 * [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)))) 8.204 * [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)))) 8.204 * [backup-simplify]: Simplify 0 into 0 8.204 * [backup-simplify]: Simplify 0 into 0 8.204 * [backup-simplify]: Simplify 0 into 0 8.204 * [backup-simplify]: Simplify 0 into 0 8.204 * [backup-simplify]: Simplify 0 into 0 8.204 * [backup-simplify]: Simplify 0 into 0 8.204 * [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))))))) 8.204 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 8.204 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.204 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 8.204 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 8.204 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.204 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 8.204 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.205 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.205 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.205 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 8.205 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 8.205 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.205 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 8.205 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.205 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 8.206 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.206 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 8.206 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 8.206 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.206 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 8.206 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.206 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.206 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify 0 into 0 8.206 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 8.206 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 8.206 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.206 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 8.206 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 8.206 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.206 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 8.206 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.206 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.206 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 8.207 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.207 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 8.207 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 8.207 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.207 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 8.207 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.207 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 8.207 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.207 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 8.207 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 8.208 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.208 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 8.208 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.208 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 8.208 * [backup-simplify]: Simplify 0 into 0 8.208 * [backup-simplify]: Simplify 0 into 0 8.208 * [backup-simplify]: Simplify 0 into 0 8.208 * [backup-simplify]: Simplify 0 into 0 8.208 * [backup-simplify]: Simplify 0 into 0 8.208 * [backup-simplify]: Simplify 0 into 0 8.208 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 8.208 * * * [progress]: simplifying candidates 8.210 * [simplify]: Simplifying: (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (* (cbrt (/ (* a a) 2)) (cbrt (/ (* a a) 2)))) (pow (atan (fmod a (asin a))) (sqrt (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) (/ a 1)) (pow (atan (fmod a (asin a))) 1) (pow (atan (fmod a (asin a))) (* a a)) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2)) (pow (cbrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (log (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (exp (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2)))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (* (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (/ (* a a) 2) 2)) (pow (atan (fmod a (asin a))) (/ (/ (* a a) 2) 2)) (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (* (cbrt (/ (* a a) 2)) (cbrt (/ (* a a) 2)))) (pow (atan (fmod a (asin a))) (sqrt (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) (/ a 1)) (pow (atan (fmod a (asin a))) 1) (pow (atan (fmod a (asin a))) (* a a)) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2)) (pow (cbrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (log (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (exp (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2)))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (* (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (/ (* a a) 2) 2)) (pow (atan (fmod a (asin a))) (/ (/ (* a a) 2) 2)) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (* (* (fmod a (asin a)) (fmod a (asin a))) (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (* (* (fmod a (asin a)) (fmod a (asin a))) (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (+ 1 (+ (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a)))))) (* 1/8 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))))) (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) (+ 1 (+ (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a)))))) (* 1/8 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))))) (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 8.213 * * [simplify]: Extracting # 0 : cost 0 8.213 * * [simplify]: Extracting # 1 : cost 0 8.213 * * [simplify]: Extracting # 2 : cost 0 8.213 * * [simplify]: Extracting # 3 : cost 0 8.213 * * [simplify]: Extracting # 4 : cost 0 8.214 * * [simplify]: Extracting # 5 : cost 0 8.214 * * [simplify]: Extracting # 6 : cost 0 8.214 * * [simplify]: Extracting # 7 : cost 0 8.214 * * [simplify]: Extracting # 8 : cost 0 8.214 * * [simplify]: Extracting # 9 : cost 0 8.215 * * [simplify]: Extracting # 10 : cost 0 8.215 * * [simplify]: iteration 0 : 64 enodes (cost 892 ) 8.257 * * [simplify]: Extracting # 0 : cost 0 8.258 * * [simplify]: Extracting # 1 : cost 0 8.258 * * [simplify]: Extracting # 2 : cost 0 8.258 * * [simplify]: Extracting # 3 : cost 0 8.259 * * [simplify]: Extracting # 4 : cost 0 8.259 * * [simplify]: iteration 1 : 134 enodes (cost 832 ) 8.337 * * [simplify]: Extracting # 0 : cost 0 8.337 * * [simplify]: Extracting # 1 : cost 0 8.338 * * [simplify]: Extracting # 2 : cost 0 8.338 * * [simplify]: Extracting # 3 : cost 0 8.338 * * [simplify]: Extracting # 4 : cost 0 8.339 * * [simplify]: iteration 2 : 315 enodes (cost 800 ) 8.569 * * [simplify]: Extracting # 0 : cost 0 8.571 * * [simplify]: Extracting # 1 : cost 0 8.572 * * [simplify]: Extracting # 2 : cost 0 8.573 * * [simplify]: Extracting # 3 : cost 0 8.574 * * [simplify]: Extracting # 4 : cost 0 8.575 * * [simplify]: iteration 3 : 959 enodes (cost 762 ) 10.846 * * [simplify]: Extracting # 0 : cost 0 10.855 * * [simplify]: Extracting # 1 : cost 0 10.858 * * [simplify]: Extracting # 2 : cost 0 10.862 * * [simplify]: Extracting # 3 : cost 0 10.865 * * [simplify]: Extracting # 4 : cost 0 10.869 * * [simplify]: iteration 4 : 4093 enodes (cost 760 ) 13.331 * * [simplify]: Extracting # 0 : cost 0 13.338 * * [simplify]: Extracting # 1 : cost 0 13.346 * * [simplify]: Extracting # 2 : cost 0 13.366 * * [simplify]: Extracting # 3 : cost 0 13.376 * * [simplify]: Extracting # 4 : cost 0 13.385 * * [simplify]: iteration done: 5001 enodes (cost 756 ) 13.386 * [simplify]: Simplified to: (* (log (sqrt (atan (fmod a (asin a))))) (pow a 2)) (* (log (sqrt (atan (fmod a (asin a))))) (pow a 2)) (* a (* 1/2 a)) (pow (atan (fmod a (asin a))) (* (cbrt (/ (* a a) 2)) (cbrt (/ (* a a) 2)))) (pow (atan (fmod a (asin a))) (sqrt (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) a) (atan (fmod a (asin a))) (pow (pow (atan (fmod a (asin a))) a) a) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2)) (pow (cbrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) 1 (pow (sqrt (pow (atan (fmod a (asin a))) a)) a) (* (log (sqrt (atan (fmod a (asin a))))) (pow a 2)) (exp (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (* (cbrt (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (* a a))))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (pow (pow (atan (fmod a (asin a))) (pow a 2)) 3/2) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (* (log (sqrt (atan (fmod a (asin a))))) (pow a 2)) (* (log (sqrt (atan (fmod a (asin a))))) (pow a 2)) (* a (* 1/2 a)) (pow (atan (fmod a (asin a))) (* (cbrt (/ (* a a) 2)) (cbrt (/ (* a a) 2)))) (pow (atan (fmod a (asin a))) (sqrt (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) a) (atan (fmod a (asin a))) (pow (pow (atan (fmod a (asin a))) a) a) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2)) (pow (cbrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) 1 (pow (sqrt (pow (atan (fmod a (asin a))) a)) a) (* (log (sqrt (atan (fmod a (asin a))))) (pow a 2)) (exp (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (* (cbrt (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (* a a))))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (* a a)))) (pow (pow (atan (fmod a (asin a))) (pow a 2)) 3/2) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (pow (fmod a (asin a)) 3) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (pow (fmod a (asin a)) 3) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (+ (* (log (atan (fmod a (asin a)))) (+ (* (* 1/8 (pow a 4)) (log (atan (fmod a (asin a))))) (* 1/2 (* a a)))) 1) (pow (sqrt (pow (atan (fmod a (asin a))) a)) a) (pow (sqrt (pow (atan (fmod a (asin a))) a)) a) (+ (* (log (atan (fmod a (asin a)))) (+ (* (* 1/8 (pow a 4)) (log (atan (fmod a (asin a))))) (* 1/2 (* a a)))) 1) (pow (sqrt (pow (atan (fmod a (asin a))) a)) a) (pow (sqrt (pow (atan (fmod a (asin a))) a)) a) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 13.387 * * * [progress]: adding candidates to table 13.662 * [progress]: [Phase 3 of 3] Extracting. 13.662 * * [regime]: Finding splitpoints for: (# #) 13.663 * * * [regime-changes]: Trying 2 branch expressions: ((pow (atan (fmod a (asin a))) (* a a)) a) 13.663 * * * * [regimes]: Trying to branch on (pow (atan (fmod a (asin a))) (* a a)) from (# #) 13.703 * * * * [regimes]: Trying to branch on a from (# #) 13.723 * * * [regime]: Found split indices: #