93.520 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.289 * * * [progress]: [2/2] Setting up program. 0.294 * [progress]: [Phase 2 of 3] Improving. 0.294 * [simplify]: Simplifying: (pow (atan (fmod a (asin a))) (* a a)) 0.295 * * [simplify]: Extracting # 0 : cost 0 0.295 * * [simplify]: Extracting # 1 : cost 0 0.295 * * [simplify]: Extracting # 2 : cost 0 0.295 * * [simplify]: Extracting # 3 : cost 0 0.295 * * [simplify]: Extracting # 4 : cost 0 0.295 * * [simplify]: Extracting # 5 : cost 0 0.295 * * [simplify]: iteration 0 : 6 enodes (cost 9 ) 0.297 * * [simplify]: Extracting # 0 : cost 0 0.297 * * [simplify]: Extracting # 1 : cost 0 0.297 * * [simplify]: Extracting # 2 : cost 0 0.297 * * [simplify]: Extracting # 3 : cost 0 0.297 * * [simplify]: Extracting # 4 : cost 0 0.297 * * [simplify]: iteration 1 : 10 enodes (cost 9 ) 0.300 * * [simplify]: Extracting # 0 : cost 0 0.300 * * [simplify]: Extracting # 1 : cost 0 0.300 * * [simplify]: Extracting # 2 : cost 0 0.300 * * [simplify]: Extracting # 3 : cost 0 0.300 * * [simplify]: iteration 2 : 17 enodes (cost 9 ) 0.307 * * [simplify]: Extracting # 0 : cost 0 0.307 * * [simplify]: Extracting # 1 : cost 0 0.307 * * [simplify]: Extracting # 2 : cost 0 0.308 * * [simplify]: Extracting # 3 : cost 0 0.308 * * [simplify]: Extracting # 4 : cost 0 0.308 * * [simplify]: iteration 3 : 41 enodes (cost 9 ) 0.325 * * [simplify]: Extracting # 0 : cost 0 0.325 * * [simplify]: Extracting # 1 : cost 0 0.326 * * [simplify]: Extracting # 2 : cost 0 0.326 * * [simplify]: Extracting # 3 : cost 0 0.326 * * [simplify]: Extracting # 4 : cost 0 0.326 * * [simplify]: iteration 4 : 104 enodes (cost 9 ) 0.414 * * [simplify]: Extracting # 0 : cost 0 0.415 * * [simplify]: Extracting # 1 : cost 0 0.415 * * [simplify]: Extracting # 2 : cost 0 0.415 * * [simplify]: Extracting # 3 : cost 0 0.416 * * [simplify]: Extracting # 4 : cost 0 0.416 * * [simplify]: Extracting # 5 : cost 0 0.416 * * [simplify]: iteration 5 : 274 enodes (cost 9 ) 1.069 * * [simplify]: Extracting # 0 : cost 0 1.071 * * [simplify]: Extracting # 1 : cost 0 1.073 * * [simplify]: Extracting # 2 : cost 0 1.074 * * [simplify]: Extracting # 3 : cost 0 1.075 * * [simplify]: Extracting # 4 : cost 0 1.076 * * [simplify]: iteration 6 : 870 enodes (cost 9 ) 3.174 * * [simplify]: Extracting # 0 : cost 0 3.180 * * [simplify]: Extracting # 1 : cost 0 3.189 * * [simplify]: Extracting # 2 : cost 0 3.193 * * [simplify]: Extracting # 3 : cost 0 3.196 * * [simplify]: Extracting # 4 : cost 0 3.198 * * [simplify]: Extracting # 5 : cost 0 3.200 * * [simplify]: iteration 7 : 3394 enodes (cost 9 ) 5.000 * * [simplify]: Extracting # 0 : cost 0 5.008 * * [simplify]: Extracting # 1 : cost 0 5.016 * * [simplify]: Extracting # 2 : cost 0 5.031 * * [simplify]: Extracting # 3 : cost 0 5.039 * * [simplify]: iteration done: 5001 enodes (cost 9 ) 5.039 * [simplify]: Simplified to: (pow (atan (fmod a (asin a))) (* a a)) 5.040 * * [progress]: iteration 1 / 4 5.040 * * * [progress]: picking best candidate 5.044 * * * * [pick]: Picked # 5.044 * * * [progress]: localizing error 5.063 * * * [progress]: generating rewritten candidates 5.063 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 5.071 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 5.072 * * * [progress]: generating series expansions 5.072 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.073 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (* a a)) into (pow (atan (fmod a (asin a))) (pow a 2)) 5.073 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in (a) around 0 5.073 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 5.073 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 5.073 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 5.073 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.073 * [taylor]: Taking taylor expansion of a in a 5.073 * [backup-simplify]: Simplify 0 into 0 5.073 * [backup-simplify]: Simplify 1 into 1 5.073 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 5.073 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 5.074 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 5.074 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 5.074 * [backup-simplify]: Simplify (* 1 1) into 1 5.075 * [backup-simplify]: Simplify (* 1 (log (atan (fmod a (asin a))))) into (log (atan (fmod a (asin a)))) 5.075 * [backup-simplify]: Simplify (exp 0) into 1 5.075 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 5.075 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 5.075 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 5.075 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.075 * [taylor]: Taking taylor expansion of a in a 5.075 * [backup-simplify]: Simplify 0 into 0 5.075 * [backup-simplify]: Simplify 1 into 1 5.075 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 5.075 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 5.075 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 5.075 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 5.076 * [backup-simplify]: Simplify (* 1 1) into 1 5.076 * [backup-simplify]: Simplify (* 1 (log (atan (fmod a (asin a))))) into (log (atan (fmod a (asin a)))) 5.076 * [backup-simplify]: Simplify (exp 0) into 1 5.076 * [backup-simplify]: Simplify 1 into 1 5.078 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 5.078 * [backup-simplify]: Simplify 0 into 0 5.079 * [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)))) 5.080 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 5.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 5.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 5.086 * [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 5.086 * [backup-simplify]: Simplify 0 into 0 5.090 * [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 5.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 5.097 * [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)) 5.098 * [backup-simplify]: Simplify (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) 5.099 * [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))))) 5.099 * [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))) 5.099 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in (a) around 0 5.099 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 5.099 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 5.099 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 5.099 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.099 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.099 * [taylor]: Taking taylor expansion of a in a 5.099 * [backup-simplify]: Simplify 0 into 0 5.099 * [backup-simplify]: Simplify 1 into 1 5.100 * [backup-simplify]: Simplify (* 1 1) into 1 5.101 * [backup-simplify]: Simplify (/ 1 1) into 1 5.101 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 5.101 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 5.101 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 5.101 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 5.101 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 5.102 * [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))) 5.102 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 5.102 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 5.102 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 5.102 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.102 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.102 * [taylor]: Taking taylor expansion of a in a 5.102 * [backup-simplify]: Simplify 0 into 0 5.102 * [backup-simplify]: Simplify 1 into 1 5.103 * [backup-simplify]: Simplify (* 1 1) into 1 5.103 * [backup-simplify]: Simplify (/ 1 1) into 1 5.103 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 5.103 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 5.103 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 5.104 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 5.104 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 5.104 * [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))) 5.105 * [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))) 5.105 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify 0 into 0 5.105 * [backup-simplify]: Simplify 0 into 0 5.105 * [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)) 5.106 * [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))) 5.106 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in (a) around 0 5.106 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 5.106 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 5.106 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 5.106 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.106 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.106 * [taylor]: Taking taylor expansion of a in a 5.106 * [backup-simplify]: Simplify 0 into 0 5.106 * [backup-simplify]: Simplify 1 into 1 5.107 * [backup-simplify]: Simplify (* 1 1) into 1 5.107 * [backup-simplify]: Simplify (/ 1 1) into 1 5.107 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 5.107 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 5.108 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 5.108 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 5.108 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 5.108 * [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))) 5.108 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 5.109 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 5.109 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 5.109 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.109 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.109 * [taylor]: Taking taylor expansion of a in a 5.109 * [backup-simplify]: Simplify 0 into 0 5.109 * [backup-simplify]: Simplify 1 into 1 5.109 * [backup-simplify]: Simplify (* 1 1) into 1 5.110 * [backup-simplify]: Simplify (/ 1 1) into 1 5.110 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 5.110 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 5.110 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 5.110 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 5.110 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 5.111 * [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))) 5.111 * [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))) 5.111 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [backup-simplify]: Simplify 0 into 0 5.112 * [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)) 5.112 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 5.112 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.112 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 5.112 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 5.113 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.113 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 5.113 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.113 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.113 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.114 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 5.114 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 5.114 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 5.114 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 5.114 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 5.114 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 5.114 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 5.114 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify 0 into 0 5.114 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 5.114 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 5.114 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 5.114 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 5.115 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 5.115 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 5.115 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 5.115 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify 0 into 0 5.115 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 5.115 * * * [progress]: simplifying candidates 5.116 * [simplify]: Simplifying: (expm1 (pow (atan (fmod a (asin a))) (* a a))) (log1p (pow (atan (fmod a (asin a))) (* a a))) (* (log (atan (fmod a (asin a)))) (* a a)) (* (log (atan (fmod a (asin a)))) (* a a)) (* 1 (* a a)) (pow (atan (fmod a (asin a))) a) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a)) (pow (cbrt (atan (fmod a (asin a)))) (* a a)) (pow (sqrt (atan (fmod a (asin a)))) (* a a)) (pow (sqrt (atan (fmod a (asin a)))) (* a a)) (pow 1 (* a a)) (pow (atan (fmod a (asin a))) (* a a)) (log (pow (atan (fmod a (asin a))) (* a a))) (exp (pow (atan (fmod a (asin a))) (* a a))) (* (cbrt (pow (atan (fmod a (asin a))) (* a a))) (cbrt (pow (atan (fmod a (asin a))) (* a a)))) (cbrt (pow (atan (fmod a (asin a))) (* a a))) (* (* (pow (atan (fmod a (asin a))) (* a a)) (pow (atan (fmod a (asin a))) (* a a))) (pow (atan (fmod a (asin a))) (* a a))) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (expm1 (fmod a (asin a))) (log1p (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (* (* (fmod a (asin a)) (fmod a (asin a))) (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (+ 1 (+ (* (pow a 2) (log (atan (fmod a (asin a))))) (* 1/2 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))))) (pow (atan (fmod a (asin a))) (pow a 2)) (pow (atan (fmod a (asin a))) (pow a 2)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 5.116 * * [simplify]: Extracting # 0 : cost 0 5.116 * * [simplify]: Extracting # 1 : cost 0 5.116 * * [simplify]: Extracting # 2 : cost 0 5.116 * * [simplify]: Extracting # 3 : cost 0 5.117 * * [simplify]: Extracting # 4 : cost 0 5.117 * * [simplify]: Extracting # 5 : cost 0 5.117 * * [simplify]: Extracting # 6 : cost 0 5.117 * * [simplify]: Extracting # 7 : cost 0 5.117 * * [simplify]: Extracting # 8 : cost 0 5.117 * * [simplify]: Extracting # 9 : cost 0 5.117 * * [simplify]: iteration 0 : 50 enodes (cost 352 ) 5.127 * * [simplify]: Extracting # 0 : cost 0 5.127 * * [simplify]: Extracting # 1 : cost 0 5.127 * * [simplify]: Extracting # 2 : cost 0 5.127 * * [simplify]: Extracting # 3 : cost 0 5.127 * * [simplify]: Extracting # 4 : cost 0 5.128 * * [simplify]: iteration 1 : 97 enodes (cost 337 ) 5.171 * * [simplify]: Extracting # 0 : cost 0 5.172 * * [simplify]: Extracting # 1 : cost 0 5.172 * * [simplify]: Extracting # 2 : cost 0 5.173 * * [simplify]: Extracting # 3 : cost 0 5.173 * * [simplify]: Extracting # 4 : cost 0 5.173 * * [simplify]: iteration 2 : 216 enodes (cost 319 ) 5.330 * * [simplify]: Extracting # 0 : cost 0 5.330 * * [simplify]: Extracting # 1 : cost 0 5.331 * * [simplify]: Extracting # 2 : cost 0 5.332 * * [simplify]: Extracting # 3 : cost 0 5.332 * * [simplify]: Extracting # 4 : cost 0 5.333 * * [simplify]: iteration 3 : 650 enodes (cost 318 ) 6.490 * * [simplify]: Extracting # 0 : cost 0 6.500 * * [simplify]: Extracting # 1 : cost 0 6.505 * * [simplify]: Extracting # 2 : cost 0 6.509 * * [simplify]: Extracting # 3 : cost 0 6.514 * * [simplify]: Extracting # 4 : cost 0 6.519 * * [simplify]: iteration 4 : 2378 enodes (cost 316 ) 8.836 * * [simplify]: Extracting # 0 : cost 0 8.855 * * [simplify]: Extracting # 1 : cost 0 8.866 * * [simplify]: Extracting # 2 : cost 0 8.878 * * [simplify]: Extracting # 3 : cost 0 8.890 * * [simplify]: Extracting # 4 : cost 0 8.900 * * [simplify]: Extracting # 5 : cost 0 8.908 * * [simplify]: iteration done: 5000 enodes (cost 316 ) 8.908 * [simplify]: Simplified to: (expm1 (pow (atan (fmod a (asin a))) (* a a))) (log1p (pow (atan (fmod a (asin a))) (* a a))) (* (log (atan (fmod a (asin a)))) (* a a)) (* (log (atan (fmod a (asin a)))) (* a a)) (* a a) (pow (atan (fmod a (asin a))) a) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (* a a)) (pow (cbrt (atan (fmod a (asin a)))) (* a a)) (pow (sqrt (atan (fmod a (asin a)))) (* a a)) (pow (sqrt (atan (fmod a (asin a)))) (* a a)) 1 (pow (atan (fmod a (asin a))) (* a a)) (* (log (atan (fmod a (asin a)))) (* a a)) (exp (pow (atan (fmod a (asin a))) (* a a))) (* (cbrt (pow (atan (fmod a (asin a))) (* a a))) (cbrt (pow (atan (fmod a (asin a))) (* a a)))) (cbrt (pow (atan (fmod a (asin a))) (* a a))) (pow (pow (atan (fmod a (asin a))) (* a a)) 3) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (sqrt (pow (atan (fmod a (asin a))) (* a a))) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (expm1 (fmod a (asin a))) (log1p (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (pow (fmod a (asin a)) 3) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (fma (log (atan (fmod a (asin a)))) (fma 1/2 (* (log (atan (fmod a (asin a)))) (pow a 4)) (* a a)) 1) (pow (atan (fmod a (asin a))) (* a a)) (pow (atan (fmod a (asin a))) (* a a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 8.909 * * * [progress]: adding candidates to table 9.015 * * [progress]: iteration 2 / 4 9.015 * * * [progress]: picking best candidate 9.020 * * * * [pick]: Picked # 9.020 * * * [progress]: localizing error 9.048 * * * [progress]: generating rewritten candidates 9.048 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 9.057 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 9.067 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 9.067 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 9.070 * * * [progress]: generating series expansions 9.070 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 9.071 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (/ (* a a) 2)) into (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) 9.071 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 9.071 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 9.071 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 9.071 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 9.071 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 9.071 * [taylor]: Taking taylor expansion of 1/2 in a 9.071 * [backup-simplify]: Simplify 1/2 into 1/2 9.071 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.071 * [taylor]: Taking taylor expansion of a in a 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify 1 into 1 9.071 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 9.071 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 9.071 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 9.071 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 9.072 * [backup-simplify]: Simplify (* 1 1) into 1 9.072 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.073 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 9.073 * [backup-simplify]: Simplify (exp 0) into 1 9.073 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 9.073 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 9.073 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 9.073 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 9.073 * [taylor]: Taking taylor expansion of 1/2 in a 9.073 * [backup-simplify]: Simplify 1/2 into 1/2 9.073 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.073 * [taylor]: Taking taylor expansion of a in a 9.073 * [backup-simplify]: Simplify 0 into 0 9.073 * [backup-simplify]: Simplify 1 into 1 9.073 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 9.073 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 9.073 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 9.073 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 9.074 * [backup-simplify]: Simplify (* 1 1) into 1 9.074 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.075 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 9.075 * [backup-simplify]: Simplify (exp 0) into 1 9.075 * [backup-simplify]: Simplify 1 into 1 9.076 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 9.076 * [backup-simplify]: Simplify 0 into 0 9.077 * [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))))) 9.078 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 9.079 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 9.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 9.084 * [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 9.084 * [backup-simplify]: Simplify 0 into 0 9.086 * [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 9.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 9.094 * [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)) 9.094 * [backup-simplify]: Simplify (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 9.095 * [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))))) 9.095 * [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))) 9.096 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 9.096 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 9.096 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 9.096 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 9.096 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 9.096 * [taylor]: Taking taylor expansion of 1/2 in a 9.096 * [backup-simplify]: Simplify 1/2 into 1/2 9.096 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.096 * [taylor]: Taking taylor expansion of a in a 9.096 * [backup-simplify]: Simplify 0 into 0 9.096 * [backup-simplify]: Simplify 1 into 1 9.096 * [backup-simplify]: Simplify (* 1 1) into 1 9.097 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.097 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 9.097 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 9.097 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 9.097 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 9.098 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 9.098 * [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)))) 9.098 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 9.098 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 9.098 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 9.098 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 9.098 * [taylor]: Taking taylor expansion of 1/2 in a 9.098 * [backup-simplify]: Simplify 1/2 into 1/2 9.098 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.098 * [taylor]: Taking taylor expansion of a in a 9.098 * [backup-simplify]: Simplify 0 into 0 9.098 * [backup-simplify]: Simplify 1 into 1 9.099 * [backup-simplify]: Simplify (* 1 1) into 1 9.099 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.099 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 9.099 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 9.100 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 9.100 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 9.100 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 9.100 * [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)))) 9.101 * [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)))) 9.101 * [backup-simplify]: Simplify 0 into 0 9.101 * [backup-simplify]: Simplify 0 into 0 9.101 * [backup-simplify]: Simplify 0 into 0 9.101 * [backup-simplify]: Simplify 0 into 0 9.101 * [backup-simplify]: Simplify 0 into 0 9.101 * [backup-simplify]: Simplify 0 into 0 9.102 * [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))))))) 9.102 * [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))) 9.102 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 9.102 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 9.102 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 9.102 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 9.102 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 9.103 * [taylor]: Taking taylor expansion of 1/2 in a 9.103 * [backup-simplify]: Simplify 1/2 into 1/2 9.103 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.103 * [taylor]: Taking taylor expansion of a in a 9.103 * [backup-simplify]: Simplify 0 into 0 9.103 * [backup-simplify]: Simplify 1 into 1 9.103 * [backup-simplify]: Simplify (* 1 1) into 1 9.104 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.104 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 9.104 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 9.104 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 9.104 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 9.105 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 9.105 * [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)))) 9.105 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 9.105 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 9.105 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 9.105 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 9.105 * [taylor]: Taking taylor expansion of 1/2 in a 9.105 * [backup-simplify]: Simplify 1/2 into 1/2 9.105 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.105 * [taylor]: Taking taylor expansion of a in a 9.105 * [backup-simplify]: Simplify 0 into 0 9.105 * [backup-simplify]: Simplify 1 into 1 9.106 * [backup-simplify]: Simplify (* 1 1) into 1 9.106 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.106 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 9.106 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 9.107 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 9.107 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 9.107 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 9.107 * [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)))) 9.108 * [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)))) 9.108 * [backup-simplify]: Simplify 0 into 0 9.108 * [backup-simplify]: Simplify 0 into 0 9.108 * [backup-simplify]: Simplify 0 into 0 9.108 * [backup-simplify]: Simplify 0 into 0 9.108 * [backup-simplify]: Simplify 0 into 0 9.108 * [backup-simplify]: Simplify 0 into 0 9.109 * [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))))))) 9.109 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 9.109 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (/ (* a a) 2)) into (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) 9.109 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 9.109 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 9.109 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 9.109 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 9.109 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 9.109 * [taylor]: Taking taylor expansion of 1/2 in a 9.109 * [backup-simplify]: Simplify 1/2 into 1/2 9.109 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.109 * [taylor]: Taking taylor expansion of a in a 9.109 * [backup-simplify]: Simplify 0 into 0 9.109 * [backup-simplify]: Simplify 1 into 1 9.109 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 9.109 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 9.110 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 9.110 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 9.110 * [backup-simplify]: Simplify (* 1 1) into 1 9.111 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.111 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 9.111 * [backup-simplify]: Simplify (exp 0) into 1 9.111 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 9.111 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 9.111 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 9.111 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 9.111 * [taylor]: Taking taylor expansion of 1/2 in a 9.111 * [backup-simplify]: Simplify 1/2 into 1/2 9.111 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.111 * [taylor]: Taking taylor expansion of a in a 9.111 * [backup-simplify]: Simplify 0 into 0 9.111 * [backup-simplify]: Simplify 1 into 1 9.111 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 9.111 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 9.112 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 9.112 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 9.112 * [backup-simplify]: Simplify (* 1 1) into 1 9.113 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.113 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 9.113 * [backup-simplify]: Simplify (exp 0) into 1 9.113 * [backup-simplify]: Simplify 1 into 1 9.114 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 9.114 * [backup-simplify]: Simplify 0 into 0 9.115 * [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))))) 9.116 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 9.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 9.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.119 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 9.121 * [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 9.121 * [backup-simplify]: Simplify 0 into 0 9.124 * [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 9.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 9.130 * [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)) 9.131 * [backup-simplify]: Simplify (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 9.131 * [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))))) 9.132 * [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))) 9.132 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 9.132 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 9.132 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 9.132 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 9.132 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 9.132 * [taylor]: Taking taylor expansion of 1/2 in a 9.132 * [backup-simplify]: Simplify 1/2 into 1/2 9.132 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.132 * [taylor]: Taking taylor expansion of a in a 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 1 into 1 9.133 * [backup-simplify]: Simplify (* 1 1) into 1 9.133 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.133 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 9.133 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 9.134 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 9.134 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 9.134 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 9.134 * [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)))) 9.134 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 9.135 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 9.135 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 9.135 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 9.135 * [taylor]: Taking taylor expansion of 1/2 in a 9.135 * [backup-simplify]: Simplify 1/2 into 1/2 9.135 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.135 * [taylor]: Taking taylor expansion of a in a 9.135 * [backup-simplify]: Simplify 0 into 0 9.135 * [backup-simplify]: Simplify 1 into 1 9.135 * [backup-simplify]: Simplify (* 1 1) into 1 9.136 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.136 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 9.136 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 9.136 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 9.136 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 9.136 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 9.137 * [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)))) 9.137 * [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)))) 9.137 * [backup-simplify]: Simplify 0 into 0 9.137 * [backup-simplify]: Simplify 0 into 0 9.137 * [backup-simplify]: Simplify 0 into 0 9.138 * [backup-simplify]: Simplify 0 into 0 9.138 * [backup-simplify]: Simplify 0 into 0 9.138 * [backup-simplify]: Simplify 0 into 0 9.138 * [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))))))) 9.139 * [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))) 9.139 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 9.139 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 9.139 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 9.139 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 9.139 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 9.139 * [taylor]: Taking taylor expansion of 1/2 in a 9.139 * [backup-simplify]: Simplify 1/2 into 1/2 9.139 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.139 * [taylor]: Taking taylor expansion of a in a 9.139 * [backup-simplify]: Simplify 0 into 0 9.139 * [backup-simplify]: Simplify 1 into 1 9.139 * [backup-simplify]: Simplify (* 1 1) into 1 9.140 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.140 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 9.140 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 9.140 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 9.140 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 9.141 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 9.141 * [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)))) 9.141 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 9.141 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 9.141 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 9.142 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 9.142 * [taylor]: Taking taylor expansion of 1/2 in a 9.142 * [backup-simplify]: Simplify 1/2 into 1/2 9.142 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.142 * [taylor]: Taking taylor expansion of a in a 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify 1 into 1 9.142 * [backup-simplify]: Simplify (* 1 1) into 1 9.143 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.143 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 9.143 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 9.143 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 9.143 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 9.143 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 9.144 * [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)))) 9.144 * [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)))) 9.144 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify 0 into 0 9.145 * [backup-simplify]: Simplify 0 into 0 9.145 * [backup-simplify]: Simplify 0 into 0 9.145 * [backup-simplify]: Simplify 0 into 0 9.145 * [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))))))) 9.145 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 9.145 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.145 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 9.145 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 9.145 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.146 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 9.146 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.146 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.146 * [backup-simplify]: Simplify 0 into 0 9.146 * [backup-simplify]: Simplify 0 into 0 9.146 * [backup-simplify]: Simplify 0 into 0 9.146 * [backup-simplify]: Simplify 0 into 0 9.146 * [backup-simplify]: Simplify 0 into 0 9.146 * [backup-simplify]: Simplify 0 into 0 9.146 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.146 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 9.146 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 9.146 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 9.146 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 9.146 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 9.147 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 9.147 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 9.147 * [backup-simplify]: Simplify 0 into 0 9.147 * [backup-simplify]: Simplify 0 into 0 9.147 * [backup-simplify]: Simplify 0 into 0 9.147 * [backup-simplify]: Simplify 0 into 0 9.147 * [backup-simplify]: Simplify 0 into 0 9.147 * [backup-simplify]: Simplify 0 into 0 9.147 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 9.147 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 9.147 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 9.147 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 9.148 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 9.148 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 9.148 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 9.148 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 9.148 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 9.148 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 9.149 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.149 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 9.149 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 9.149 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.149 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 9.149 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.149 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify 0 into 0 9.149 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.150 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 9.150 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 9.150 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 9.150 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 9.150 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 9.150 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 9.150 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 9.150 * [backup-simplify]: Simplify 0 into 0 9.150 * [backup-simplify]: Simplify 0 into 0 9.150 * [backup-simplify]: Simplify 0 into 0 9.150 * [backup-simplify]: Simplify 0 into 0 9.150 * [backup-simplify]: Simplify 0 into 0 9.150 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 9.151 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 9.151 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 9.151 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 9.151 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 9.151 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 9.151 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 9.151 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 9.151 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify 0 into 0 9.151 * [backup-simplify]: Simplify 0 into 0 9.152 * [backup-simplify]: Simplify 0 into 0 9.152 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 9.152 * * * [progress]: simplifying candidates 9.162 * [simplify]: Simplifying: (expm1 (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (log1p (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (* (cbrt (/ (* a a) 2)) (cbrt (/ (* a a) 2)))) (pow (atan (fmod a (asin a))) (sqrt (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) (/ a 1)) (pow (atan (fmod a (asin a))) 1) (pow (atan (fmod a (asin a))) (* a a)) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2)) (pow (cbrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (log (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (exp (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2)))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (* (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (/ (* a a) 2) 2)) (pow (atan (fmod a (asin a))) (/ (/ (* a a) 2) 2)) (expm1 (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (log1p (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* (log (atan (fmod a (asin a)))) (/ (* a a) 2)) (* 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (* (cbrt (/ (* a a) 2)) (cbrt (/ (* a a) 2)))) (pow (atan (fmod a (asin a))) (sqrt (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) (/ a 1)) (pow (atan (fmod a (asin a))) 1) (pow (atan (fmod a (asin a))) (* a a)) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2)) (pow (cbrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow 1 (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (log (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (exp (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2)))) (cbrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (* (* (pow (atan (fmod a (asin a))) (/ (* a a) 2)) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (sqrt (pow (atan (fmod a (asin a))) (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ (/ (* a a) 2) 2)) (pow (atan (fmod a (asin a))) (/ (/ (* a a) 2) 2)) (expm1 (fmod a (asin a))) (log1p (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (* (* (fmod a (asin a)) (fmod a (asin a))) (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (expm1 (fmod a (asin a))) (log1p (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (* (* (fmod a (asin a)) (fmod a (asin a))) (fmod a (asin a))) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (+ 1 (+ (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a)))))) (* 1/8 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))))) (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) (+ 1 (+ (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a)))))) (* 1/8 (* (pow a 4) (pow (log (atan (fmod a (asin a)))) 2))))) (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) (exp (* 1/2 (* (pow a 2) (log (atan (fmod a (asin a))))))) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 9.165 * * [simplify]: Extracting # 0 : cost 0 9.165 * * [simplify]: Extracting # 1 : cost 0 9.165 * * [simplify]: Extracting # 2 : cost 0 9.165 * * [simplify]: Extracting # 3 : cost 0 9.165 * * [simplify]: Extracting # 4 : cost 0 9.166 * * [simplify]: Extracting # 5 : cost 0 9.166 * * [simplify]: Extracting # 6 : cost 0 9.166 * * [simplify]: Extracting # 7 : cost 0 9.166 * * [simplify]: Extracting # 8 : cost 0 9.166 * * [simplify]: Extracting # 9 : cost 0 9.166 * * [simplify]: iteration 0 : 68 enodes (cost 960 ) 9.202 * * [simplify]: Extracting # 0 : cost 0 9.202 * * [simplify]: Extracting # 1 : cost 0 9.203 * * [simplify]: Extracting # 2 : cost 0 9.203 * * [simplify]: Extracting # 3 : cost 0 9.203 * * [simplify]: Extracting # 4 : cost 0 9.204 * * [simplify]: iteration 1 : 139 enodes (cost 898 ) 9.285 * * [simplify]: Extracting # 0 : cost 0 9.286 * * [simplify]: Extracting # 1 : cost 0 9.286 * * [simplify]: Extracting # 2 : cost 0 9.287 * * [simplify]: Extracting # 3 : cost 0 9.288 * * [simplify]: Extracting # 4 : cost 0 9.288 * * [simplify]: iteration 2 : 322 enodes (cost 866 ) 9.608 * * [simplify]: Extracting # 0 : cost 0 9.609 * * [simplify]: Extracting # 1 : cost 0 9.610 * * [simplify]: Extracting # 2 : cost 0 9.611 * * [simplify]: Extracting # 3 : cost 0 9.612 * * [simplify]: Extracting # 4 : cost 0 9.613 * * [simplify]: Extracting # 5 : cost 0 9.614 * * [simplify]: iteration 3 : 1000 enodes (cost 824 ) 12.103 * * [simplify]: Extracting # 0 : cost 0 12.115 * * [simplify]: Extracting # 1 : cost 0 12.123 * * [simplify]: Extracting # 2 : cost 0 12.131 * * [simplify]: Extracting # 3 : cost 0 12.144 * * [simplify]: Extracting # 4 : cost 0 12.151 * * [simplify]: iteration 4 : 4280 enodes (cost 820 ) 14.383 * * [simplify]: Extracting # 0 : cost 0 14.389 * * [simplify]: Extracting # 1 : cost 0 14.394 * * [simplify]: iteration done: 5000 enodes (cost 820 ) 14.394 * [simplify]: Simplified to: (expm1 (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (log1p (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (* (pow a 2) (log (sqrt (atan (fmod a (asin a)))))) (* (pow a 2) (log (sqrt (atan (fmod a (asin a)))))) (* (/ a 2) a) (pow (atan (fmod a (asin a))) (* (cbrt (/ (* a a) 2)) (cbrt (/ (* a a) 2)))) (pow (atan (fmod a (asin a))) (sqrt (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) a) (atan (fmod a (asin a))) (pow (atan (fmod a (asin a))) (pow a 2)) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2)) (pow (cbrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) 1 (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (* (pow a 2) (log (sqrt (atan (fmod a (asin a)))))) (exp (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (* (cbrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2))))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (pow (pow (atan (fmod a (asin a))) (pow a 2)) 3/2) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (pow (atan (fmod a (asin a))) (/ (* a a) 4)) (pow (atan (fmod a (asin a))) (/ (* a a) 4)) (expm1 (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (log1p (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (* (pow a 2) (log (sqrt (atan (fmod a (asin a)))))) (* (pow a 2) (log (sqrt (atan (fmod a (asin a)))))) (* (/ a 2) a) (pow (atan (fmod a (asin a))) (* (cbrt (/ (* a a) 2)) (cbrt (/ (* a a) 2)))) (pow (atan (fmod a (asin a))) (sqrt (/ (* a a) 2))) (pow (atan (fmod a (asin a))) (/ a (* (cbrt 2) (cbrt 2)))) (pow (atan (fmod a (asin a))) (/ a (sqrt 2))) (pow (atan (fmod a (asin a))) a) (atan (fmod a (asin a))) (pow (atan (fmod a (asin a))) (pow a 2)) (pow (* (cbrt (atan (fmod a (asin a)))) (cbrt (atan (fmod a (asin a))))) (/ (* a a) 2)) (pow (cbrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) (pow (sqrt (atan (fmod a (asin a)))) (/ (* a a) 2)) 1 (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (* (pow a 2) (log (sqrt (atan (fmod a (asin a)))))) (exp (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (* (cbrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2))))) (cbrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (pow (pow (atan (fmod a (asin a))) (pow a 2)) 3/2) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (sqrt (sqrt (pow (atan (fmod a (asin a))) (pow a 2)))) (pow (atan (fmod a (asin a))) (/ (* a a) 4)) (pow (atan (fmod a (asin a))) (/ (* a a) 4)) (expm1 (fmod a (asin a))) (log1p (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (pow (fmod a (asin a)) 3) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (expm1 (fmod a (asin a))) (log1p (fmod a (asin a))) (log (fmod a (asin a))) (exp (fmod a (asin a))) (* (cbrt (fmod a (asin a))) (cbrt (fmod a (asin a)))) (cbrt (fmod a (asin a))) (pow (fmod a (asin a)) 3) (sqrt (fmod a (asin a))) (sqrt (fmod a (asin a))) (fma (log (atan (fmod a (asin a)))) (fma (* 1/8 (pow a 4)) (log (atan (fmod a (asin a)))) (* (/ a 2) a)) 1) (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (fma (log (atan (fmod a (asin a)))) (fma (* 1/8 (pow a 4)) (log (atan (fmod a (asin a)))) (* (/ a 2) a)) 1) (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (sqrt (pow (atan (fmod a (asin a))) (pow a 2))) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) (fmod a (asin a)) 14.395 * * * [progress]: adding candidates to table 14.764 * [progress]: [Phase 3 of 3] Extracting. 14.764 * * [regime]: Finding splitpoints for: (# #) 14.765 * * * [regime-changes]: Trying 2 branch expressions: ((pow (atan (fmod a (asin a))) (* a a)) a) 14.765 * * * * [regimes]: Trying to branch on (pow (atan (fmod a (asin a))) (* a a)) from (# #) 14.813 * * * * [regimes]: Trying to branch on a from (# #) 14.837 * * * [regime]: Found split indices: #