73.029 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.306 * * * [progress]: [2/2] Setting up program. 0.309 * [progress]: [Phase 2 of 3] Improving. 0.310 * [simplify]: Simplifying: (pow (atan (fmod a (asin a))) (* a a)) 0.310 * * [simplify]: Extracting # 0 : cost 0 0.310 * * [simplify]: Extracting # 1 : cost 0 0.310 * * [simplify]: Extracting # 2 : cost 0 0.310 * * [simplify]: Extracting # 3 : cost 0 0.310 * * [simplify]: Extracting # 4 : cost 0 0.310 * * [simplify]: Extracting # 5 : cost 0 0.310 * * [simplify]: iteration 0 : 6 enodes (cost 9 ) 0.312 * * [simplify]: Extracting # 0 : cost 0 0.312 * * [simplify]: Extracting # 1 : cost 0 0.312 * * [simplify]: Extracting # 2 : cost 0 0.312 * * [simplify]: Extracting # 3 : cost 0 0.312 * * [simplify]: Extracting # 4 : cost 0 0.312 * * [simplify]: iteration 1 : 10 enodes (cost 9 ) 0.315 * * [simplify]: Extracting # 0 : cost 0 0.315 * * [simplify]: Extracting # 1 : cost 0 0.315 * * [simplify]: Extracting # 2 : cost 0 0.315 * * [simplify]: Extracting # 3 : cost 0 0.316 * * [simplify]: iteration 2 : 17 enodes (cost 9 ) 0.322 * * [simplify]: Extracting # 0 : cost 0 0.322 * * [simplify]: Extracting # 1 : cost 0 0.323 * * [simplify]: Extracting # 2 : cost 0 0.323 * * [simplify]: Extracting # 3 : cost 0 0.323 * * [simplify]: Extracting # 4 : cost 0 0.323 * * [simplify]: iteration 3 : 41 enodes (cost 9 ) 0.339 * * [simplify]: Extracting # 0 : cost 0 0.339 * * [simplify]: Extracting # 1 : cost 0 0.339 * * [simplify]: Extracting # 2 : cost 0 0.340 * * [simplify]: Extracting # 3 : cost 0 0.340 * * [simplify]: Extracting # 4 : cost 0 0.340 * * [simplify]: iteration 4 : 104 enodes (cost 9 ) 0.426 * * [simplify]: Extracting # 0 : cost 0 0.427 * * [simplify]: Extracting # 1 : cost 0 0.427 * * [simplify]: Extracting # 2 : cost 0 0.428 * * [simplify]: Extracting # 3 : cost 0 0.428 * * [simplify]: Extracting # 4 : cost 0 0.429 * * [simplify]: Extracting # 5 : cost 0 0.429 * * [simplify]: iteration 5 : 274 enodes (cost 9 ) 0.762 * * [simplify]: Extracting # 0 : cost 0 0.763 * * [simplify]: Extracting # 1 : cost 0 0.763 * * [simplify]: Extracting # 2 : cost 0 0.764 * * [simplify]: Extracting # 3 : cost 0 0.765 * * [simplify]: Extracting # 4 : cost 0 0.765 * * [simplify]: iteration 6 : 870 enodes (cost 9 ) 3.192 * * [simplify]: Extracting # 0 : cost 0 3.199 * * [simplify]: Extracting # 1 : cost 0 3.203 * * [simplify]: Extracting # 2 : cost 0 3.211 * * [simplify]: Extracting # 3 : cost 0 3.213 * * [simplify]: Extracting # 4 : cost 0 3.216 * * [simplify]: Extracting # 5 : cost 0 3.218 * * [simplify]: iteration 7 : 3394 enodes (cost 9 ) 5.013 * * [simplify]: Extracting # 0 : cost 0 5.021 * * [simplify]: Extracting # 1 : cost 0 5.029 * * [simplify]: Extracting # 2 : cost 0 5.036 * * [simplify]: Extracting # 3 : cost 0 5.052 * * [simplify]: iteration done: 5001 enodes (cost 9 ) 5.052 * [simplify]: Simplified to: (pow (atan (fmod a (asin a))) (* a a)) 5.053 * * [progress]: iteration 1 / 4 5.053 * * * [progress]: picking best candidate 5.058 * * * * [pick]: Picked # 5.059 * * * [progress]: localizing error 5.078 * * * [progress]: generating rewritten candidates 5.078 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 5.085 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 5.087 * * * [progress]: generating series expansions 5.087 * * * * [progress]: [ 1 / 2 ] generating series at (2) 5.087 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (* a a)) into (pow (atan (fmod a (asin a))) (pow a 2)) 5.088 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in (a) around 0 5.088 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 5.088 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 5.088 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 5.088 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.088 * [taylor]: Taking taylor expansion of a in a 5.088 * [backup-simplify]: Simplify 0 into 0 5.088 * [backup-simplify]: Simplify 1 into 1 5.088 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 5.088 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 5.088 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 5.089 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 5.089 * [backup-simplify]: Simplify (* 1 1) into 1 5.090 * [backup-simplify]: Simplify (* 1 (log (atan (fmod a (asin a))))) into (log (atan (fmod a (asin a)))) 5.090 * [backup-simplify]: Simplify (exp 0) into 1 5.090 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (pow a 2)) in a 5.090 * [taylor]: Taking taylor expansion of (exp (* (pow a 2) (log (atan (fmod a (asin a)))))) in a 5.090 * [taylor]: Taking taylor expansion of (* (pow a 2) (log (atan (fmod a (asin a))))) in a 5.090 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.090 * [taylor]: Taking taylor expansion of a in a 5.090 * [backup-simplify]: Simplify 0 into 0 5.090 * [backup-simplify]: Simplify 1 into 1 5.090 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 5.090 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 5.090 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 5.091 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 5.091 * [backup-simplify]: Simplify (* 1 1) into 1 5.092 * [backup-simplify]: Simplify (* 1 (log (atan (fmod a (asin a))))) into (log (atan (fmod a (asin a)))) 5.092 * [backup-simplify]: Simplify (exp 0) into 1 5.092 * [backup-simplify]: Simplify 1 into 1 5.093 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 5.094 * [backup-simplify]: Simplify 0 into 0 5.095 * [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)))) 5.095 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 5.097 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 5.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 5.100 * [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 5.101 * [backup-simplify]: Simplify 0 into 0 5.102 * [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 5.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 5.106 * [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)) 5.106 * [backup-simplify]: Simplify (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/2 (pow (log (atan (fmod a (asin a)))) 2)) 5.107 * [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))))) 5.107 * [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))) 5.107 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in (a) around 0 5.107 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1 (pow a 2))) in a 5.107 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 5.107 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 5.107 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.107 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.107 * [taylor]: Taking taylor expansion of a in a 5.107 * [backup-simplify]: Simplify 0 into 0 5.107 * [backup-simplify]: Simplify 1 into 1 5.107 * [backup-simplify]: Simplify (* 1 1) into 1 5.108 * [backup-simplify]: Simplify (/ 1 1) into 1 5.108 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 5.108 * [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))) 5.109 * [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 5.109 * [backup-simplify]: Simplify (/ 1 1) into 1 5.109 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 5.109 * [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))))) 5.110 * [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))) 5.110 * [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))) 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify 0 into 0 5.110 * [backup-simplify]: Simplify 0 into 0 5.111 * [backup-simplify]: Simplify 0 into 0 5.111 * [backup-simplify]: Simplify 0 into 0 5.111 * [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)) 5.111 * [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))) 5.111 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in (a) around 0 5.111 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 5.111 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 5.111 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 5.111 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.111 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.111 * [taylor]: Taking taylor expansion of a in a 5.111 * [backup-simplify]: Simplify 0 into 0 5.111 * [backup-simplify]: Simplify 1 into 1 5.112 * [backup-simplify]: Simplify (* 1 1) into 1 5.112 * [backup-simplify]: Simplify (/ 1 1) into 1 5.112 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 5.112 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 5.112 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 5.112 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 5.112 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 5.113 * [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))) 5.113 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1 (pow a 2))) in a 5.113 * [taylor]: Taking taylor expansion of (exp (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 5.113 * [taylor]: Taking taylor expansion of (* (/ 1 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 5.113 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 5.113 * [taylor]: Taking taylor expansion of (pow a 2) in a 5.113 * [taylor]: Taking taylor expansion of a in a 5.113 * [backup-simplify]: Simplify 0 into 0 5.113 * [backup-simplify]: Simplify 1 into 1 5.113 * [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 5.114 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 5.114 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 5.114 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 5.114 * [backup-simplify]: Simplify (* 1 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 5.114 * [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 * [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))) 5.115 * [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 (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)) 5.115 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 5.115 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.115 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 5.115 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 5.115 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.115 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 5.115 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.115 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 5.116 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 5.116 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 5.116 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 5.116 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 5.116 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 5.116 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 5.116 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.116 * [backup-simplify]: Simplify 0 into 0 5.117 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 5.117 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 5.117 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 5.117 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 5.117 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 5.117 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 5.117 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 5.117 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 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 (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 5.117 * * * [progress]: simplifying candidates 5.118 * [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)) 5.118 * * [simplify]: Extracting # 0 : cost 0 5.119 * * [simplify]: Extracting # 1 : cost 0 5.119 * * [simplify]: Extracting # 2 : cost 0 5.119 * * [simplify]: Extracting # 3 : cost 0 5.119 * * [simplify]: Extracting # 4 : cost 0 5.119 * * [simplify]: Extracting # 5 : cost 0 5.119 * * [simplify]: Extracting # 6 : cost 0 5.119 * * [simplify]: Extracting # 7 : cost 0 5.119 * * [simplify]: Extracting # 8 : cost 0 5.119 * * [simplify]: Extracting # 9 : cost 0 5.119 * * [simplify]: iteration 0 : 50 enodes (cost 352 ) 5.130 * * [simplify]: Extracting # 0 : cost 0 5.130 * * [simplify]: Extracting # 1 : cost 0 5.130 * * [simplify]: Extracting # 2 : cost 0 5.130 * * [simplify]: Extracting # 3 : cost 0 5.130 * * [simplify]: Extracting # 4 : cost 0 5.130 * * [simplify]: iteration 1 : 97 enodes (cost 337 ) 5.174 * * [simplify]: Extracting # 0 : cost 0 5.175 * * [simplify]: Extracting # 1 : cost 0 5.175 * * [simplify]: Extracting # 2 : cost 0 5.175 * * [simplify]: Extracting # 3 : cost 0 5.176 * * [simplify]: Extracting # 4 : cost 0 5.176 * * [simplify]: iteration 2 : 216 enodes (cost 319 ) 5.340 * * [simplify]: Extracting # 0 : cost 0 5.341 * * [simplify]: Extracting # 1 : cost 0 5.343 * * [simplify]: Extracting # 2 : cost 0 5.344 * * [simplify]: Extracting # 3 : cost 0 5.345 * * [simplify]: Extracting # 4 : cost 0 5.346 * * [simplify]: iteration 3 : 650 enodes (cost 318 ) 6.543 * * [simplify]: Extracting # 0 : cost 0 6.547 * * [simplify]: Extracting # 1 : cost 0 6.552 * * [simplify]: Extracting # 2 : cost 0 6.555 * * [simplify]: Extracting # 3 : cost 0 6.557 * * [simplify]: Extracting # 4 : cost 0 6.561 * * [simplify]: iteration 4 : 2378 enodes (cost 316 ) 9.113 * * [simplify]: Extracting # 0 : cost 0 9.134 * * [simplify]: Extracting # 1 : cost 0 9.144 * * [simplify]: Extracting # 2 : cost 0 9.154 * * [simplify]: Extracting # 3 : cost 0 9.166 * * [simplify]: Extracting # 4 : cost 0 9.176 * * [simplify]: Extracting # 5 : cost 0 9.186 * * [simplify]: iteration done: 5000 enodes (cost 316 ) 9.187 * [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)) 9.187 * * * [progress]: adding candidates to table 9.346 * * [progress]: iteration 2 / 4 9.346 * * * [progress]: picking best candidate 9.351 * * * * [pick]: Picked # 9.351 * * * [progress]: localizing error 9.377 * * * [progress]: generating rewritten candidates 9.377 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 9.382 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 9.386 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 9.386 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 9.388 * * * [progress]: generating series expansions 9.388 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 9.388 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (/ (* a a) 2)) into (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) 9.388 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 9.388 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 9.388 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 9.388 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 9.388 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 9.388 * [taylor]: Taking taylor expansion of 1/2 in a 9.389 * [backup-simplify]: Simplify 1/2 into 1/2 9.389 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.389 * [taylor]: Taking taylor expansion of a in a 9.389 * [backup-simplify]: Simplify 0 into 0 9.389 * [backup-simplify]: Simplify 1 into 1 9.389 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 9.389 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 9.389 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 9.389 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 9.390 * [backup-simplify]: Simplify (* 1 1) into 1 9.390 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.390 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 9.391 * [backup-simplify]: Simplify (exp 0) into 1 9.391 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 9.391 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 9.391 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 9.391 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 9.391 * [taylor]: Taking taylor expansion of 1/2 in a 9.391 * [backup-simplify]: Simplify 1/2 into 1/2 9.391 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.391 * [taylor]: Taking taylor expansion of a in a 9.391 * [backup-simplify]: Simplify 0 into 0 9.391 * [backup-simplify]: Simplify 1 into 1 9.391 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 9.391 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 9.391 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 9.391 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 9.392 * [backup-simplify]: Simplify (* 1 1) into 1 9.392 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.392 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 9.392 * [backup-simplify]: Simplify (exp 0) into 1 9.393 * [backup-simplify]: Simplify 1 into 1 9.394 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 9.394 * [backup-simplify]: Simplify 0 into 0 9.395 * [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))))) 9.395 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 9.398 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 9.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.399 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 9.401 * [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 9.401 * [backup-simplify]: Simplify 0 into 0 9.403 * [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 9.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 9.407 * [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)) 9.407 * [backup-simplify]: Simplify (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 9.408 * [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))))) 9.408 * [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))) 9.408 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 9.408 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 9.408 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 9.408 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 9.408 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 9.409 * [taylor]: Taking taylor expansion of 1/2 in a 9.409 * [backup-simplify]: Simplify 1/2 into 1/2 9.409 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.409 * [taylor]: Taking taylor expansion of a in a 9.409 * [backup-simplify]: Simplify 0 into 0 9.409 * [backup-simplify]: Simplify 1 into 1 9.409 * [backup-simplify]: Simplify (* 1 1) into 1 9.409 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.409 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 9.409 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 9.410 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 9.410 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 9.410 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 9.410 * [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)))) 9.410 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 9.410 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 9.410 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 9.410 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 9.410 * [taylor]: Taking taylor expansion of 1/2 in a 9.410 * [backup-simplify]: Simplify 1/2 into 1/2 9.410 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.410 * [taylor]: Taking taylor expansion of a in a 9.410 * [backup-simplify]: Simplify 0 into 0 9.410 * [backup-simplify]: Simplify 1 into 1 9.411 * [backup-simplify]: Simplify (* 1 1) into 1 9.411 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.411 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 9.411 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 9.411 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 9.411 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 9.411 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 9.412 * [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)))) 9.412 * [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)))) 9.412 * [backup-simplify]: Simplify 0 into 0 9.412 * [backup-simplify]: Simplify 0 into 0 9.412 * [backup-simplify]: Simplify 0 into 0 9.412 * [backup-simplify]: Simplify 0 into 0 9.412 * [backup-simplify]: Simplify 0 into 0 9.412 * [backup-simplify]: Simplify 0 into 0 9.412 * [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))))))) 9.413 * [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))) 9.413 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 9.413 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 9.413 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 9.413 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 9.413 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 9.413 * [taylor]: Taking taylor expansion of 1/2 in a 9.413 * [backup-simplify]: Simplify 1/2 into 1/2 9.413 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.413 * [taylor]: Taking taylor expansion of a in a 9.413 * [backup-simplify]: Simplify 0 into 0 9.413 * [backup-simplify]: Simplify 1 into 1 9.413 * [backup-simplify]: Simplify (* 1 1) into 1 9.414 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.414 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 9.414 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 9.414 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 9.414 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 9.414 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 9.414 * [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)))) 9.414 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 9.414 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 9.414 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 9.414 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 9.414 * [taylor]: Taking taylor expansion of 1/2 in a 9.414 * [backup-simplify]: Simplify 1/2 into 1/2 9.414 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.414 * [taylor]: Taking taylor expansion of a in a 9.415 * [backup-simplify]: Simplify 0 into 0 9.415 * [backup-simplify]: Simplify 1 into 1 9.415 * [backup-simplify]: Simplify (* 1 1) into 1 9.415 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.415 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 9.415 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 9.415 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 9.416 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 9.416 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 9.416 * [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)))) 9.416 * [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)))) 9.416 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify 0 into 0 9.416 * [backup-simplify]: Simplify 0 into 0 9.417 * [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))))))) 9.417 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 9.417 * [backup-simplify]: Simplify (pow (atan (fmod a (asin a))) (/ (* a a) 2)) into (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) 9.417 * [approximate]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in (a) around 0 9.417 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 9.417 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 9.417 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 9.417 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 9.417 * [taylor]: Taking taylor expansion of 1/2 in a 9.417 * [backup-simplify]: Simplify 1/2 into 1/2 9.417 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.417 * [taylor]: Taking taylor expansion of a in a 9.417 * [backup-simplify]: Simplify 0 into 0 9.417 * [backup-simplify]: Simplify 1 into 1 9.417 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 9.417 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 9.417 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 9.417 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 9.418 * [backup-simplify]: Simplify (* 1 1) into 1 9.418 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.418 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 9.418 * [backup-simplify]: Simplify (exp 0) into 1 9.418 * [taylor]: Taking taylor expansion of (pow (atan (fmod a (asin a))) (* 1/2 (pow a 2))) in a 9.418 * [taylor]: Taking taylor expansion of (exp (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a)))))) in a 9.418 * [taylor]: Taking taylor expansion of (* (* 1/2 (pow a 2)) (log (atan (fmod a (asin a))))) in a 9.418 * [taylor]: Taking taylor expansion of (* 1/2 (pow a 2)) in a 9.418 * [taylor]: Taking taylor expansion of 1/2 in a 9.418 * [backup-simplify]: Simplify 1/2 into 1/2 9.418 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.418 * [taylor]: Taking taylor expansion of a in a 9.418 * [backup-simplify]: Simplify 0 into 0 9.418 * [backup-simplify]: Simplify 1 into 1 9.419 * [taylor]: Taking taylor expansion of (log (atan (fmod a (asin a)))) in a 9.419 * [taylor]: Taking taylor expansion of (atan (fmod a (asin a))) in a 9.419 * [backup-simplify]: Simplify (atan (fmod a (asin a))) into (atan (fmod a (asin a))) 9.419 * [backup-simplify]: Simplify (log (atan (fmod a (asin a)))) into (log (atan (fmod a (asin a)))) 9.419 * [backup-simplify]: Simplify (* 1 1) into 1 9.419 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.419 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 9.420 * [backup-simplify]: Simplify (exp 0) into 1 9.420 * [backup-simplify]: Simplify 1 into 1 9.420 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 9.420 * [backup-simplify]: Simplify 0 into 0 9.421 * [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))))) 9.421 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod a (asin a))))) into (* 1/2 (log (atan (fmod a (asin a))))) 9.422 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (fmod a (asin a))) 1)))) 1) into 0 9.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (log (atan (fmod a (asin a)))))) into 0 9.426 * [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 9.427 * [backup-simplify]: Simplify 0 into 0 9.429 * [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 9.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (log (atan (fmod a (asin a))))))) into 0 9.438 * [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)) 9.438 * [backup-simplify]: Simplify (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) into (* 1/8 (pow (log (atan (fmod a (asin a)))) 2)) 9.439 * [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))))) 9.440 * [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))) 9.440 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 9.440 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 9.440 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 9.440 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 9.440 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 9.440 * [taylor]: Taking taylor expansion of 1/2 in a 9.440 * [backup-simplify]: Simplify 1/2 into 1/2 9.440 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.440 * [taylor]: Taking taylor expansion of a in a 9.440 * [backup-simplify]: Simplify 0 into 0 9.440 * [backup-simplify]: Simplify 1 into 1 9.441 * [backup-simplify]: Simplify (* 1 1) into 1 9.441 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.441 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 9.441 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 9.442 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 9.442 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 9.442 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 9.443 * [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)))) 9.443 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ 1 a) (asin (/ 1 a)))) (/ 1/2 (pow a 2))) in a 9.443 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a))))))) in a 9.443 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) in a 9.443 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 9.443 * [taylor]: Taking taylor expansion of 1/2 in a 9.443 * [backup-simplify]: Simplify 1/2 into 1/2 9.443 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.443 * [taylor]: Taking taylor expansion of a in a 9.443 * [backup-simplify]: Simplify 0 into 0 9.443 * [backup-simplify]: Simplify 1 into 1 9.444 * [backup-simplify]: Simplify (* 1 1) into 1 9.444 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.444 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) in a 9.444 * [taylor]: Taking taylor expansion of (atan (fmod (/ 1 a) (asin (/ 1 a)))) in a 9.445 * [backup-simplify]: Simplify (atan (fmod (/ 1 a) (asin (/ 1 a)))) into (atan (fmod (/ 1 a) (asin (/ 1 a)))) 9.445 * [backup-simplify]: Simplify (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) into (log (atan (fmod (/ 1 a) (asin (/ 1 a))))) 9.445 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) into (* 1/2 (log (atan (fmod (/ 1 a) (asin (/ 1 a)))))) 9.446 * [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)))) 9.446 * [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)))) 9.446 * [backup-simplify]: Simplify 0 into 0 9.446 * [backup-simplify]: Simplify 0 into 0 9.446 * [backup-simplify]: Simplify 0 into 0 9.446 * [backup-simplify]: Simplify 0 into 0 9.446 * [backup-simplify]: Simplify 0 into 0 9.446 * [backup-simplify]: Simplify 0 into 0 9.447 * [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))))))) 9.447 * [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))) 9.448 * [approximate]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in (a) around 0 9.448 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 9.448 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 9.448 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 9.448 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 9.448 * [taylor]: Taking taylor expansion of 1/2 in a 9.448 * [backup-simplify]: Simplify 1/2 into 1/2 9.448 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.448 * [taylor]: Taking taylor expansion of a in a 9.448 * [backup-simplify]: Simplify 0 into 0 9.448 * [backup-simplify]: Simplify 1 into 1 9.449 * [backup-simplify]: Simplify (* 1 1) into 1 9.449 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.449 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 9.449 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 9.450 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 9.450 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 9.450 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 9.450 * [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)))) 9.451 * [taylor]: Taking taylor expansion of (pow (atan (fmod (/ -1 a) (asin (/ -1 a)))) (/ 1/2 (pow a 2))) in a 9.451 * [taylor]: Taking taylor expansion of (exp (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a))))))) in a 9.451 * [taylor]: Taking taylor expansion of (* (/ 1/2 (pow a 2)) (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) in a 9.451 * [taylor]: Taking taylor expansion of (/ 1/2 (pow a 2)) in a 9.451 * [taylor]: Taking taylor expansion of 1/2 in a 9.451 * [backup-simplify]: Simplify 1/2 into 1/2 9.451 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.451 * [taylor]: Taking taylor expansion of a in a 9.451 * [backup-simplify]: Simplify 0 into 0 9.451 * [backup-simplify]: Simplify 1 into 1 9.452 * [backup-simplify]: Simplify (* 1 1) into 1 9.452 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.452 * [taylor]: Taking taylor expansion of (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) in a 9.452 * [taylor]: Taking taylor expansion of (atan (fmod (/ -1 a) (asin (/ -1 a)))) in a 9.453 * [backup-simplify]: Simplify (atan (fmod (/ -1 a) (asin (/ -1 a)))) into (atan (fmod (/ -1 a) (asin (/ -1 a)))) 9.453 * [backup-simplify]: Simplify (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) into (log (atan (fmod (/ -1 a) (asin (/ -1 a))))) 9.453 * [backup-simplify]: Simplify (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) into (* 1/2 (log (atan (fmod (/ -1 a) (asin (/ -1 a)))))) 9.453 * [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)))) 9.454 * [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)))) 9.454 * [backup-simplify]: Simplify 0 into 0 9.454 * [backup-simplify]: Simplify 0 into 0 9.454 * [backup-simplify]: Simplify 0 into 0 9.454 * [backup-simplify]: Simplify 0 into 0 9.454 * [backup-simplify]: Simplify 0 into 0 9.454 * [backup-simplify]: Simplify 0 into 0 9.455 * [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))))))) 9.455 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 9.455 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.455 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 9.455 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 9.455 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.455 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 9.455 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.456 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.456 * [backup-simplify]: Simplify 0 into 0 9.456 * [backup-simplify]: Simplify 0 into 0 9.456 * [backup-simplify]: Simplify 0 into 0 9.456 * [backup-simplify]: Simplify 0 into 0 9.456 * [backup-simplify]: Simplify 0 into 0 9.456 * [backup-simplify]: Simplify 0 into 0 9.456 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.456 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 9.456 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 9.456 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 9.456 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 9.456 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 9.457 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 9.457 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 9.457 * [backup-simplify]: Simplify 0 into 0 9.457 * [backup-simplify]: Simplify 0 into 0 9.457 * [backup-simplify]: Simplify 0 into 0 9.457 * [backup-simplify]: Simplify 0 into 0 9.457 * [backup-simplify]: Simplify 0 into 0 9.457 * [backup-simplify]: Simplify 0 into 0 9.457 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 9.458 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 9.458 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 9.458 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 9.458 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 9.458 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 9.458 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 9.458 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 9.459 * [backup-simplify]: Simplify 0 into 0 9.459 * [backup-simplify]: Simplify 0 into 0 9.459 * [backup-simplify]: Simplify 0 into 0 9.459 * [backup-simplify]: Simplify 0 into 0 9.459 * [backup-simplify]: Simplify 0 into 0 9.459 * [backup-simplify]: Simplify 0 into 0 9.459 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 9.459 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 9.459 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.459 * [approximate]: Taking taylor expansion of (fmod a (asin a)) in (a) around 0 9.459 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 9.459 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.459 * [taylor]: Taking taylor expansion of (fmod a (asin a)) in a 9.459 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.460 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.460 * [backup-simplify]: Simplify 0 into 0 9.460 * [backup-simplify]: Simplify 0 into 0 9.460 * [backup-simplify]: Simplify 0 into 0 9.460 * [backup-simplify]: Simplify 0 into 0 9.460 * [backup-simplify]: Simplify 0 into 0 9.460 * [backup-simplify]: Simplify 0 into 0 9.460 * [backup-simplify]: Simplify (fmod a (asin a)) into (fmod a (asin a)) 9.460 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 9.460 * [approximate]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in (a) around 0 9.460 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 9.460 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 9.460 * [taylor]: Taking taylor expansion of (fmod (/ 1 a) (asin (/ 1 a))) in a 9.461 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 9.461 * [backup-simplify]: Simplify (fmod (/ 1 a) (asin (/ 1 a))) into (fmod (/ 1 a) (asin (/ 1 a))) 9.461 * [backup-simplify]: Simplify 0 into 0 9.461 * [backup-simplify]: Simplify 0 into 0 9.461 * [backup-simplify]: Simplify 0 into 0 9.461 * [backup-simplify]: Simplify 0 into 0 9.461 * [backup-simplify]: Simplify 0 into 0 9.461 * [backup-simplify]: Simplify 0 into 0 9.461 * [backup-simplify]: Simplify (fmod (/ 1 (/ 1 a)) (asin (/ 1 (/ 1 a)))) into (fmod a (asin a)) 9.461 * [backup-simplify]: Simplify (fmod (/ 1 (- a)) (asin (/ 1 (- a)))) into (fmod (/ -1 a) (asin (/ -1 a))) 9.461 * [approximate]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in (a) around 0 9.461 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 9.462 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 9.462 * [taylor]: Taking taylor expansion of (fmod (/ -1 a) (asin (/ -1 a))) in a 9.462 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 9.462 * [backup-simplify]: Simplify (fmod (/ -1 a) (asin (/ -1 a))) into (fmod (/ -1 a) (asin (/ -1 a))) 9.462 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify 0 into 0 9.462 * [backup-simplify]: Simplify 0 into 0 9.463 * [backup-simplify]: Simplify (fmod (/ -1 (/ 1 (- a))) (asin (/ -1 (/ 1 (- a))))) into (fmod a (asin a)) 9.463 * * * [progress]: simplifying candidates 9.465 * [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)) 9.467 * * [simplify]: Extracting # 0 : cost 0 9.468 * * [simplify]: Extracting # 1 : cost 0 9.468 * * [simplify]: Extracting # 2 : cost 0 9.468 * * [simplify]: Extracting # 3 : cost 0 9.468 * * [simplify]: Extracting # 4 : cost 0 9.468 * * [simplify]: Extracting # 5 : cost 0 9.469 * * [simplify]: Extracting # 6 : cost 0 9.469 * * [simplify]: Extracting # 7 : cost 0 9.469 * * [simplify]: Extracting # 8 : cost 0 9.469 * * [simplify]: Extracting # 9 : cost 0 9.469 * * [simplify]: iteration 0 : 68 enodes (cost 960 ) 9.512 * * [simplify]: Extracting # 0 : cost 0 9.512 * * [simplify]: Extracting # 1 : cost 0 9.513 * * [simplify]: Extracting # 2 : cost 0 9.513 * * [simplify]: Extracting # 3 : cost 0 9.513 * * [simplify]: Extracting # 4 : cost 0 9.514 * * [simplify]: iteration 1 : 139 enodes (cost 898 ) 9.582 * * [simplify]: Extracting # 0 : cost 0 9.583 * * [simplify]: Extracting # 1 : cost 0 9.583 * * [simplify]: Extracting # 2 : cost 0 9.583 * * [simplify]: Extracting # 3 : cost 0 9.584 * * [simplify]: Extracting # 4 : cost 0 9.584 * * [simplify]: iteration 2 : 322 enodes (cost 866 ) 9.948 * * [simplify]: Extracting # 0 : cost 0 9.950 * * [simplify]: Extracting # 1 : cost 0 9.952 * * [simplify]: Extracting # 2 : cost 0 9.953 * * [simplify]: Extracting # 3 : cost 0 9.954 * * [simplify]: Extracting # 4 : cost 0 9.955 * * [simplify]: Extracting # 5 : cost 0 9.956 * * [simplify]: iteration 3 : 1000 enodes (cost 824 ) 12.371 * * [simplify]: Extracting # 0 : cost 0 12.377 * * [simplify]: Extracting # 1 : cost 0 12.381 * * [simplify]: Extracting # 2 : cost 0 12.385 * * [simplify]: Extracting # 3 : cost 0 12.390 * * [simplify]: Extracting # 4 : cost 0 12.400 * * [simplify]: iteration 4 : 4280 enodes (cost 820 ) 14.813 * * [simplify]: Extracting # 0 : cost 0 14.828 * * [simplify]: Extracting # 1 : cost 0 14.838 * * [simplify]: iteration done: 5000 enodes (cost 820 ) 14.839 * [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)) 14.840 * * * [progress]: adding candidates to table 15.258 * [progress]: [Phase 3 of 3] Extracting. 15.258 * * [regime]: Finding splitpoints for: (# #) 15.259 * * * [regime-changes]: Trying 2 branch expressions: ((pow (atan (fmod a (asin a))) (* a a)) a) 15.259 * * * * [regimes]: Trying to branch on (pow (atan (fmod a (asin a))) (* a a)) from (# #) 15.290 * * * * [regimes]: Trying to branch on a from (# #) 15.303 * * * [regime]: Found split indices: #